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MAC 2311C Lecture Notes - Lecture 3: The Cw Plus

United States

Calculus with Analytic Geometry I

Mathematics Calculus/Precalc

Arielle Gaudiello

University of Central Florida

Mathematics for Calculus

Calculus with Analytic Geometry III

Introduction to Philosophy

Comparing Functions Winch of the following vector- valued functions represent the same graph?
(a) r(t)=(–3 cos t + l)i + (5 sin t + 2)j 4 + 4k
(b) r(t)=4i + (–3 cos t + l)j + (5 sin t + 2)k
(c) r(t)=(3 cos t– l)i + (–5 sin t –2)j + 4k
(d) r(t)=(–3 cos 2t + l)i + (5 sin 2t + 2)j + 4k

<picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7334002.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7334002.png" alt=""></picture> <picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7334003.jpeg" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/73/7334003.jpeg" alt=""></picture> <div class="grammarly-disable-indicator"></div> <div id="i4k" class="hidden">1. Let F(r, y) be the vector field defined by the formula F(z, y) = (y cos(zy)-sin(z + y),ã¨cos(zy)-sin(z + y)). Compute ds for each of the following curves (1) Î³(t) = (t, t2), t â¬ io, 1] (2) Î³(t) = (t2.t), t â¬ 10, 1] (3) 1t) t,t), t [0,1] and plot each of the curves. (All three integrals are easy to evaluate using substitutions.) Recall that d: ?"(t) dt. </div>

<picture><source srcset="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/48/4840378.webp" type="image/webp"></source><img src="https://prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/48/4840378.png" alt=""></picture> <div id="iq7" class="hidden">(1 pt) (St 1) i t sin t) j 5t4k, G Let F Find the vector derivative 5,tn (3)(4sin (t),tcos (t))20tA(3) (2) G. (3) H e 5t 4t cos(4t)j es k and H ri 1 t </div>

MAC 2311C Lecture Notes - Lecture 3: The Cw Plus

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