![]() ![]() (a)The curve traced by hcos2(t) sin2(t)iis a circle. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License. Calc III (Spring ’13) Practice Final of 12 1.(10 points) Circle True or False. We recommend using aĪuthors: Gilbert Strang, Edwin “Jed” Herman Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses theĬreative Commons Attribution-NonCommercial-ShareAlike License We will use parametric equations and polar coordinates for describing many topics later in this text. ![]() In this chapter we also study parametric equations, which give us a convenient way to describe curves, or to study the position of a particle or object in two dimensions as a function of time. How can we use this coordinate system to describe spirals and other radial figures? (See Example 1.14.) We have numbered the videos for quick reference so it's reasonably obvious. Students with a course start date prior to January 1st, 2023 should use proctor information on this page to take their exams. Math 2210 Calculus III These lecture videos are organized in an order that corresponds with the current book we are using for our Math2210, Calculus 3, courses (Calculus, with Differential Equations, by Varberg, Purcell and Rigdon, 9th edition published by Pearson). Proctorship Information: Exams in this course may be taken online. The polar coordinate system is well suited for describing curves of this type. Exams: This course has two 90-minute midterm tests and a 3-hour final exam. However, if we change our coordinate system to something that works a bit better with circular patterns, the function becomes much simpler to describe. The mathematical function that describes a spiral can be expressed using rectangular (or Cartesian) coordinates. When part of the shell is cut away, a perfect spiral is revealed, with chambers inside that are somewhat similar to growth rings in a tree. It has a hard outer shell with many chambers connected in a spiral fashion, and it can retract into its shell to avoid predators. This animal feeds on hermit crabs, fish, and other crustaceans. The chambered nautilus is a fascinating creature. ![]()
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