![]() ![]() Traffic can often be heavy while traveling through these metropolitan areas. I-15 is a major highway traveling through both Las Vegas, Nevada, and Salt Lake City, Utah. ![]() No matter where you travel along I-15 in Montana, you can be sure to experience a variety of weather conditions. Temperatures rarely dip below freezing and rainfall is more frequent. In the winter, temperatures can drop below freezing, and snowfall is common.įinally, as the interstate reaches the Idaho state line, the climate becomes more mild and humid. The area around Great Falls experiences hot, dry summers and cold, dry winters. Rainfall can be experienced in the spring and early summer months, and temperatures can reach up to the mid-90s during the summer months.Īs one continues south, the weather becomes more arid and dry. Snowfall can occur during the winter months, and temperatures can drop below freezing.Īs one travels further south along the interstate, temperatures become milder and more humid. In the north, along the Canadian border, the weather is generally cold and dry, with cold winters and warm summers. Throughout its route, a traveler can experience a variety of climates. This interstate runs from the Canadian border in the north to the Idaho state line in the south. Montana is a state with a wide variety of weather, particularly along the Interstate I-15. Storms, including thunderstorms, can occur year round and can bring strong winds, hail, and heavy rains. In the lower elevations, rain is more common. During the winter months, snow is common in the higher elevations. The weather in Idaho is also affected by its mountainous terrain. In the winter months, temperatures in the south can dip into the low 20s, while in the north they can dip into the single digits. In the northern part of the state, temperatures can be much cooler. In southern Idaho, temperatures during the summer can reach up to the upper 90s. Along Interstate I-15, temperatures can vary greatly depending on where you are. Idaho is known for its often unpredictable weather. The highway passes through the heart of the Beehive State, traversing some of its most scenic and rugged terrain. The section of I-15 through Utah is known as the Veterans Memorial Highway, and is designated as part of the National Highway System. The highway is a major corridor for trade and transportation, and it's also popular with tourists who are travelling to visit the many attractions in Southern California. It runs from north to south, connecting Los Angeles and San Diego. Interstate I-15 in California is one of the most important interstate highways in the state. Heavy snow and high winds can be common while traveling on I-15 through Montana, Idaho, and Utah during the winter. In general, the road is known for its long stretches of straightaways and lack of traffic congestion. The road passes through some of the most spectacular and diverse scenery in the country, including the Mojave Desert, the Wasatch Mountains, and the Rocky Mountains. In the south, it begins in San Diego, California, near the border with Mexico. It starts in the north at the Canadian border, connecting with Alberta Highway 4 at the Sweetgrass–Coutts Border Crossing. I-15 is a major highway running north-south and running 1,433 miles in length.
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![]() Support for iTunes U has since been dwindling, with Apple instead focusing on new educational tools. When Apple started to transition away from iTunes in 2017, iTunes U content was discontinued as a standalone feature and was transitioned into the Podcasts app and the Podcasts section of iTunes. Find answers about your billing, payment information, iTunes Store purchases, or subscription to Apple Music. iTunes U allowed educators to create courses with audio, media, handouts, ebooks, and more, with the iTunes U app available for users to access their collections on iPhone and iPad. ITunes U has been around since 2007, and was built in to the iTunes app to provide university lectures and learning content from U.S. Materials in iTunes U courses can be transitioned into Schoolwork Handouts, and iTunes U will also get an export feature so those who want to move to third-party apps or Learning Management Systems can do so. Current iTunes U users can continue publishing content through Apple Podcasts or Apple Books.Īpple suggests private publishers transition over to the Schoolwork app, and Apple plans to add ClassKit support to iTunes U to make transitioning easy. Introduction In the summer of 2008, the Miami University Libraries began a pilot project to integrate Web video tutorials (vodcasts) into a multiplicity of. For public content publishers, until iTunes U is discontinued, new and existing content will be available publicly, but Apple suggests creators start exploring other options. iTunes U will continue to be available to all existing customers through the 2020-2021 educational year.Īccording to Apple, iTunes U will be available for the 2020 to 2021 educational year, with support ending in late 2021. With this in mind, Apple will discontinue iTunes U at the end of 2021. ![]() ![]() Apps such as Pages, Numbers, Keynote, GarageBand, iMovie, Clips, and Swift Playgrounds have education-specific features that are used regularly by teachers and students. In addition to Classroom and Schoolwork, Apple also introduced Apple School Manager to enable IT Administrators to easily manage iPads, Macs, Apple TV, Apple IDs, books, and apps, while ensuring data is kept secure and private. Schoolwork helps teachers save time and maximize each student's potential by making it easy for teachers to share class materials, get students to a specific activity in an app, collaborate with students, and view student progress. Classroom turns your iPad into a powerful teaching assistant, helping teachers guide students through a lesson, see their progress, and keep them on track. Apple will be discontinuing iTunes U at the end of 2021, according to a new support document shared by the company today.Īpple says that iTunes U tools have been replaced with next-generation apps for teachers and students, which include Classroom and Schoolwork, plus the Apple School Manager tool.Īpple has been hard at work building the next generation of apps for both teachers and students: ![]() I tried to uninstall and reinstall the port, that didn't help. My guess is that the culprit will be the Signature=adhoc. ![]() ![]() Sealed Resources version=2 rules=13 files=320 % codesign -v -d /Applications/MacPorts/iTerm2.app/Contents/MacOS/iTerm2Įxecutable=/Applications/MacPorts/iTerm2.app/Contents/MacOS/iTerm2įormat=app bundle with Mach-O universal (x86_64 arm64)ĬodeDirectory v=20500 size=144086 flags=0x10002(adhoc,runtime) hashes=4492+7 location=embedded Reason: tried: '/Applications/MacPorts/iTerm2.app/Contents/MacOS/./Frameworks/amework/Versions/A/BetterFontPicker' (code signature in '/Applications/MacPorts/iTerm2.app/Contents/Frameworks/amework/Versions/A/BetterFontPicker' not valid for use in process: mapped file has no Team ID and is not a platform binary (signed with custom identity or adhoc?)), '/Applications/MacPorts/iTerm2.app/Contents/Frameworks/amework/Versions/A/BetterFontPicker' (code signature in '/Applications/MacPorts/iTerm2.app/Contents/Frameworks/amework/Versions/A/BetterFontPicker' not valid for use in process: mapped file has no Team ID and is not a platform binary (signed with custom identity or adhoc?)), '/Applications/MacPorts/iTerm2.app/Contents/MacOS/./Frameworks/amework/Versions/A/BetterFontPicker' (code signature in '/Applications/MacPorts/iTerm2.app/Contents/Frameworks/amework/Versions/A/BetterFontPicker' not valid for use in process: mapped file has no Team ID and is not a platform binary (signed with custom identity or adhoc?)), '/Applications/MacPorts/iTerm2.app/Contents/Frameworks/amework/Versions/A/BetterFontPicker' (code signature in '/Applications/MacPorts/iTerm2.app/Contents/Frameworks/amework/Versions/A/BetterFontPicker' not valid for use in process: mapped file has no Team ID and is not a platform binary (signed with custom identity or adhoc?)), '/System/Library/Frameworks/amework/Versions/A/BetterFontPicker' (no such file, not in dyld cache) When trying to start the application it fails with the following error % /Applications/MacPorts/iTerm2.app/Contents/MacOS/iTerm2ĭyld: Library not loaded: from: /Applications/MacPorts/iTerm2.app/Contents/MacOS/iTerm2 Step 3: Search for MacPorts 2.5.0 in the /Applications folder, then drag its icon to the Trash icon located at. Step 2: Launch Finder on your Mac, and click Applications in the Finder sidebar. Installed iTerm2 with MacPorts, as it is described in the packages' documentation. Here’s the regular steps to uninstall MacPorts 2.5.0 on Mac: Step 1: Quit MacPorts 2.5.0 as well as its related process (es) if they are still running. ![]() Want to hire BOMONSTER to create your own dirt bike inspired design? Check it out here. If Ed were alive today, I think he would agree. Hot rod monster art, lowbrow kustom kulture and drag racing is always influenced my work, and in my world, dirt bikes rock. Echa un vistazo a nuestra selección de rat fink motorcycle para ver las mejores piezas hechas a mano, únicas o personalizadas de nuestras tiendas. My name is Andy Miller, Im a retired movie set builder and my passion has always been building and. Imagine the Rat Fink in a cheesy car-building reality TV show, what with the fabricated deadlines and. My hand-scratched style centers around motorsports and hot rods. Why that ratfink Of course, I took the dare and bravely waved to 148 Adrienne Wolfert. Welcome to my Brother Rat Fink Tribute Webpage. The book is a little light on info from Roth’s motorcycle-riding phase. Feel free to poke around the site and view the many forms of Rat Fink art. ![]() When they thought of dirt bikes, they decided to make me a Roth artist and add a BOMONSTER original into the mix. Rat Fink Art comes in all shapes and sizes, from YO-YO’s to Halloween masks, posters to shirts. Talented artists were hired to create all those classic designs with Ed playing the role of Creative Director. I would jump on this thing in a heart beat. Im actually jealous that I cant have one. I sat on this bike and it seems very comfortable. Roth art was always centered around monsters, hot rods, drag racing and later in his career, chopper motorcycles. Hey Muttley, Today I was in a Modesto bike shop where they had a Electra Rat Fink. To be sure, the Roth style has influenced my own unique look, but when I got hired to create Rat Fink on a dirt bike it gave me the chance to draw Rat Fink the way Ed would have liked. UJM Rat Fink Metal Signs Vintage Wall Decor for Home Kitchen Bar Patio Room Garage Retro Tin Poster Plaque 12'x8' Inch. People often see my hand-scratched BOMONSTER designs and say it reminds them of "that artist when we were kids." and I'll finish their sentence "Ed Roth?" "Yes!" they always say excitedly. If I Gotta Explain You Wouldnt Understand, Rat Fink on Motorcycle, Ed Roth, Big Daddy, Daddy Roth, Metal Sign 8X12 Inches Car Wall Signs. Ed Roth is famous for creating monster-driving hot rod apparel and still influences generations of lowbrow kustom kulture artists to create their own hot rod monster art. Have you ever seen Ed "Big Daddy Roth's" Rat Fink on a dirt bike? Neither have I until I scratched it. Both price adjustments: Customer is eligible only if the product is in stock for purchase at Microsoft Store or a Microsoft Experience Center. Microsoft reserves the right to verify an eligible retailer’s advertised price and availability of the product. The product sold by the eligible retailer must be identical to the product sold by Microsoft and must be in stock for purchase at the eligible retailer at the reduced price. An Eligible Retailer Price Adjustment cannot be requested at time of purchase. Eligible Retailer Price Adjustment: Holiday extended price protection valid on purchases of qualifying physical consumer products purchased from Microsoft Store online and Microsoft Experience Centers in select markets between 10/16/23 - 12/1/23. Price adjustment may be requested until January 31, 2024. Price adjustment may be requested until January 31, 2024. Price protection: Microsoft Store Price Adjustment: Holiday extended price protection valid on purchases of qualifying physical consumer and commercial products purchased from Microsoft Store online and Microsoft Experience Centers in select markets between 10/16/23 - 12/1/23. Citizens Pay Line of Credit Account offered by Citizens Bank, N.A. See the Citizens Pay Line of Credit Agreement for full terms and conditions. Flexible payments: With approval of Citizens Pay Line of Credit at 0% APR and 12- or 18-month term.Continued abuse of our services will cause your IP address to be blocked indefinitely. Please fill out the CAPTCHA below and then click the button to indicate that you agree to these terms. If you wish to be unblocked, you must agree that you will take immediate steps to rectify this issue. If you do not understand what is causing this behavior, please contact us here. If you promise to stop (by clicking the Agree button below), we'll unblock your connection for now, but we will immediately re-block it if we detect additional bad behavior. Overusing our search engine with a very large number of searches in a very short amount of time.Using a badly configured (or badly written) browser add-on for blocking content.Running a "scraper" or "downloader" program that either does not identify itself or uses fake headers to elude detection.Using a script or add-on that scans GameFAQs for box and screen images (such as an emulator front-end), while overloading our search engine.There is no official GameFAQs app, and we do not support nor have any contact with the makers of these unofficial apps. ![]() Continued use of these apps may cause your IP to be blocked indefinitely. This triggers our anti-spambot measures, which are designed to stop automated systems from flooding the site with traffic.
![]() Tutorial – A yurt band border in two-color warp floats.Tutorial en español- Diseños con trama suplementaria.Tutorial en español – Simple Warp Floats.Tutorial- Starting out in Backstrap Weaving: Steps to Success.Pattern charts-Supplementary Weft Patterning.FAQ 21 – How do I finish a band with fringe? FAQ 20 – What is a coil rod and how is it used? FAQ 19 – How can I memorize a pattern and stop using a chart? FAQ 18 – How do I go about weaving wider pieces? ![]() FAQ 17 – Where can I find the diamond graph paper for charting double weave and supplementary weft patterns? FAQ 15 – How do I roll up my work as it progresses? FAQ 12 – How do I create a third selvedge? FAQ 11 – How do I stop my shed rod from moving around? FAQ 10 – How do I open the sheds on wide and/or sticky warps? FAQ 9 – How do I open the sheds on a narrow warp? FAQ 8 – How should I sit when I am weaving? FAQ 7 – How do I make continuous string heddles? FAQ 6 – Where can I tie up my loom in my house? FAQ 5 – What is a good knot to use to tie off on the warping board? FAQ 4 – How do I wind a warp for backstrap weaving? FAQ 3 – What yarns are suitable for backstrap weaving? FAQ 2 – What do I need to make my own loom? FAQ 1 – What are all the loom parts called? I can’t wait to start over with the new found knowledge that I have, and get going on my first real Backstrap loom project! May the good Lord bless you for putting all this wonderful and helpful information up online. You have really done a service to humanity. But here I am looking at the beginnings of my first Backstrap loom weave and I decided to do another search to compare what I have concocted to real ones in use. I can’t imagine why I have never come across your site before. I figured that I know enough about weaving to make at least a good attempt at it, and if I failed, I could at least learn from my mistakes and have fun making them □ … I have searched a million times for Backstrap loom info. A shoe rack that I had broke, my son had an art lesson about weaving, and that sent the cosmos colliding! I decided that I was going to try and make my own. But this past week I don’t know what got into me. Alas, I had almost given up and just decided to watch YouTube videos of Peruvians doing their thing. I became infatuated with back strap weaving about a year ago, but I couldn’t figure it out from the one diagram I had of Peruvian loom. OMGoodness! I love your site! This is everything that I have been needing. I disconnect them and slowly slide each rod up the warp, then reconnect them. Both the shed rod and stabilizing rod will move up the warp as the weaving advances. You can see a video of a weaver doing just that in my latest blog post…One Warp, Many Lessons. Other weavers don’t use a stabilizing rod but, rather, use their sword as a second rod behind the shed rod when it comes time to open the heddles. ![]() ![]() For me it is the most efficient way to help raise the heddles. I also grab both those rods and roll them away as an aid to opening the heddle shed and so very often use the stablizing rod on wide warps too for that purpose. I like to use the stabilizing rod on narrow warps to stop the shed rod from moving around each time I open that shed. There are many ways of setting up a basic backstrap loom. The other set of threads is permanently raised by the shed rod. One set of threads is controlled by the string heddles…you raise the heddles to open the shed. The shed rod separates the two sets if threads. ![]() 10 cloves garlic, peeled and left whole.Salt and freshly ground black pepper, to taste.One 18- to 20-pound fresh turkey (preferably organic), at room temperature*.The turkey should soak in the brine for at least 12 to 24 hours and then it needs to dry out for several hours before roasting. If you're working with a frozen turkey be sure to defrost in time (see "Frozen Tips" below) and leave time to brine the bird if you like. ![]() This recipe is for an 18- to 20-pound bird, but can easily work with a smaller one by reducing the cooking time. Roast turkey with pan dripping gravy Kathy slices a roast turkey just out of the oven. Top the hot soup with the cooked mushrooms and chives, or with cream or yogurt.įind more Thanksgiving starters here. Add the oil and then the mushrooms, salt, pepper and chives or parsley. To make the mushroom garnish: Heat a medium skillet over high heat.Puree the soup with an immersion blender or transfer to the bowl of a food processor or blender and whirl until smooth. Reduce the heat to low and simmer, covered, for 10 minutes. Scrape everything from the roasting pan into the simmering stock and bring to a boil over high heat. Meanwhile, heat the stock and the remaining ginger in a medium pot over medium heat until simmering.Roast on the middle shelf for 15 minutes. In a medium roasting pan or baking sheet with sides, toss the onions, scallions, half the ginger, mushrooms, olive oil, salt and pepper.Make the soup: Preheat the oven to 450 degrees.Greek-style yogurt or heavy cream, optional.About 2 tablespoons chopped fresh chives and or parsley.¼ pound mushrooms, think about using a different variety for contrast, stems trimmed and coarsely chopped.1 pound shiitakes or your favorite mushrooms, coarsely chopped into 1-inch size pieces.2 tablespoons fresh ginger, peeled and finely chopped.3 scallions, ends trimmed and chopped, into ½-inch size pieces.2 medium onions, or 1 large, chopped into ½-inch size pieces.Serve very small portions - a demi-tasse or small tea or coffee cup or even a shot glass. The soup can be made up to 3 days ahead of time, freeing you up on Thanksgiving day. Of course, you can choose to top the soup with a swirl of heavy cream or yogurt, or a sprinkle of chives or parsley. It’s light, while still bursting with big fall flavors. The whole mixture is pureed and that’s it. Mushrooms are roasted with onions and a touch of fresh ginger and then simmered in vegetable stock. The depth of flavor defies the effort it takes to make this simple vegan soup. Roasted mushroom soup Roasted mushroom soup. So, we're looking back on some of Kathy's best Thanksgiving appetizers, sides and turkey tips. (Jesse Costa/WBUR)Ī lot goes into cooking a full Thanksgiving meal.Įvery year, our resident chef Kathy Gunst serves up new recipes and tips to help home chefs cook a delicious holiday feast. Facebook Email Kathy's sliced roast turkey. There are multiple interior pockets to stash your stuff, and it’s large enough for packing extras like a sweatshirt, plus your study guides for a day on campus. ![]() It's not flashy or fancy, but Thule's EnRoute backpack is a fantastic choice due to having heaps of storage space and protective padded pockets for your laptop and tablet. $139.00 Best backpacks for college students (Men’s pick): Thule EnRoute Padded sections for laptops and tablets.Water-resistant and passes the drop test.Multiple compartments for easy organization.Specially designed for all women’s bodies.Warranty: “Our products are fully warranted against defects in materials and workmanship with a lifetime guarantee.Materials: 600D recycled polyester with non-PFC DWR finish.Dimensions: 18.74 inches (height) x 11-inches (width) x 5.75 inches (depth).In true North Face fashion, it also comes with durable, external pockets for your water bottles, plus an external bungie compression system with clips galore. We love the 12 color combinations on offer for this backpack, which, while large, is designed with specific protective compartments for your tech (laptops and tablets) and another to stash your study guides, textbooks, and binders. The removable waist strap may not be necessary for everyone, but it’s nice to have the option. The Women’s Borealis Backpack is designed specifically for a women’s body including a specialized FlexVent™ suspension system, articulated shoulder straps, a rounded back panel, and a high level of comfort designed to protect your back and shoulders. North Face is synonymous with high-quality outdoor gear and clothing-and their famous fleece jackets have been an enduring trend for women on campus for seemingly decades. Our top picks for the best backpacks for college and high school Best backpack for college students (Women’s pick): North Face Women’s Borealis Zippered pockets also play an important durability role, so double check your backpack comes with YKK-grade zippers. Durable fabrics include ultra-tough nylon, canvas, and leather. ![]() Ideally, your college backpack will last for all four college years, plus be well-crafted enough to stand up to trips around campus and travel during breaks. Fashion shouldn’t replace a backpack’s form and function, but you should like how it looks. Since you’ll likely use your backpack daily, you should buy one that syncs with your overall style. Make sure the backpack you want to buy has all of the compartments you need to stay organized during your school day. Most backpacks, especially those designed for college or school, have sections for different items, such as a laptop, a larger space for textbooks, a side pocket for a water bottle, and so forth. Will the backpack keep everything organized? A backpack should fall below your shoulders and under your hips for optimal fit, and should not weigh more than 10% of your body weight. You want to make sure your backpack is comfortable, ergonomically sound and does not hurt your back, hips, and shoulders. Backpacks for college and school are often overloaded and can be extremely heavy. Never purchase a backpack that will cause pain while you carry it. You want to make sure yours has a secure, padded compartment so that you won't break anything if you drop or toss your backpack on the quad or in the classroom. If you’re in school, even elementary school, you may have to fit a laptop or Chrome book into your backpack. What to consider when buying a backpack for school or college Is the backpack going to fit my laptop? ![]() To help you search through the oversaturated market, we’ve gathered a list of A+ bags that earn top marks for design and durability-from laptop backpacks to old-school bookbags. When you head off to college or high school, you’ll need a whole bunch of supplies, and just as importantly, somewhere to put them, so a new backpack should be at the top of your back-to-school shopping list. On the other hand, half-and-half is made from a combination of cream and milk, so it contains substantially less fat. It typically contains 36% fat, or about 5.4 grams per tablespoon (15 mL) ( 4). Given that heavy cream is made from the high fat cream found in fresh milk, it’s the highest in fat. One main difference between these three ingredients is their fat content. Coffee creamer is usually made from a combination of water, sugar, and vegetable oil. Heavy cream and half-and-half are dairy products produced through different processes. They may be sugar-free, fat-free, powdered, or flavored. However, there are many varieties of coffee creamer that may contain different ingredients. Other common additives are used to boost the taste and texture of coffee creamers, including carrageenan, cellulose gum, and artificial flavorings. That’s more than 1 teaspoon of sugar.įor reference, the American Heart Association recommends limiting your daily intake of added sugar to no more than 6 teaspoons (24 grams) for women and 9 teaspoons (36 grams) for men ( 3). Some popular types of coffee creamer can contain up to 5 grams of added sugar in a single serving. Plant-based coffee creamers made from almond, oat, soy, and coconut offer an alternative type of coffee creamer for those with milk allergies.Īlthough the ingredients can vary by brand, most coffee creamers are made from a combination of water, sugar, and vegetable oil.Ĭoffee creamer is usually heavily processed and loaded with added sugar. However, it may contain milk derivatives such as casein. ![]() Unlike heavy cream and half-and-half, coffee creamer is typically dairy-free. In addition to milk and cream, half-and-half sometimes contains additives, such as carrageenan, which help enhance the texture of the final product.įat-free varieties of half-and-half are also widely available and typically made by combining skim milk with corn syrup instead of cream, resulting in a fat-free product that’s higher in added sugar. It also has a much lighter taste and mouthfeel, which can be useful in many types of recipes. The FDA requires half-and-half to contain between 10.5% to 18% milkfat ( 2). It’s made by combining equal parts cream and whole milk, resulting in a product that’s thinner and lower in fat than heavy cream. Much like heavy cream, half-and-half is a dairy product. In the US, the FDA defines heavy cream as having no less than 36% milkfat ( 1).Īlthough cream is typically the only ingredient found in heavy cream, it’s also sometimes combined with thickeners like gellan gum to improve its consistency. Many food manufacturers speed this process by using tools called separators, which accelerate the separation of milk and cream.Ĭream is graded according to its fat content, and most countries have specific standards regarding what defines heavy cream. ![]() It’s skimmed off during the manufacturing process. Heavy creamĪlso called heavy whipping cream, heavy cream is the thick, high fat cream that rises to the top of fresh milk. Heavy cream, half-and-half, and coffee creamer are distinctly different products, but they share some similar contents and uses. ![]() Typical Problem: Consider a definite integral that depends on an unknown function \(y(x)\), as well as its derivative \(y'(x)=\frac \right].\): The lateral surface area of the cone is given by \(πrs\). In this session you will: Watch a lecture video clip and read board notes. The mathematical techniques developed to solve this type of problem are collectively known as the calculus of variations. Calculate the arc length of the parameterized curve. The all important question of whether an infinite series. (Take 3.14 and round your answer to one decimal place, if necessary) Solution : Given : T he arc length of Arc AB is 18 cm. Chalkboard Photos, Reading Assignments, and Exercises ()Solutions (PDF - 2.8MB)To complete the reading assignments, see the Supplementary Notes in the Study Materials section. solutions are investigated of the set of second order Hamiltonian equations. Problem 6 : In a circle, if the arc length of Arc AB is 18 cm and the measure of Arc AB is 39°, then find the radius of the circle. Boundary Value Problems & Fourier Series. Arc Length Example: Find the length of f(x) 2 between x2 and x3 Example: Find the length of f(x) x between x2 and x3 Example: Metal posts have been. Find the surface area of the volume generated when the curve y x2 y x 2 revolves around the y-axis y -axis from (1,1) ( 1, 1) to (3,9). 8.1 Arc Length 8.2 Surface Area 8.3 Center of Mass 8.4 Hydrostatic Pressure. Included are detailed discussions of Limits. One example is finding the curve giving the shortest distance between two points - a straight line, of course, in Cartesian geometry (but can you prove it?) but less obvious if the two points lie on a curved surface (the problem of finding geodesics.) Study Guide for Lecture 2: Tangential & Normal Vectors. Here is a set of notes used by Paul Dawkins to teach his Calculus I course at Lamar University. Many problems involve finding a function that maximizes or minimizes an integral expression. This video shows you how to find the arc length in terms of x and in terms of y values. MATH0043 Handout: Fundamental lemma of the calculus of variations. ![]()
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