Consider the oriented curve C given by the parameterization r(t) = (e', cos(at)) for 0sts2. Circle the correct answer for each of the following. (a) Which figure most accurately illustrates the curve C? (b) If F(x, y) = (2+ eVsin(x), 0), then the integral ſc F. dr is negative positive zero (c) Which of the following calculates the length of C? Vezt + T? cos?(7t)dt [ et + n² sin²(7 t)dt | Vezi+ cos²(7 t)dt _ I Veze +1²sin²(nt)dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the oriented curve C given by the parameterization r(t) = (e', cos(at)) for 0<t<2.
Circle the correct answer for each of the following.
(a) Which figure most accurately illustrates the curve C?
(b) If F(x, y) = (2+eVsin(x),0), then the integral Sc F·dr is negative
positive
zero
(c) Which of the following calculates the length of C?
2
2
I Vezr+ ? cos²(T t)dt Vet +n² sin²(rt)dt
e' + π sin? (π)dt |
Vezt + cos²(1 t)dt Vezt + 7² sin²(1t)dt
e2t + cos² (n t)dt
e2t + 7² sin²(n t)dt
0.
Transcribed Image Text:Consider the oriented curve C given by the parameterization r(t) = (e', cos(at)) for 0<t<2. Circle the correct answer for each of the following. (a) Which figure most accurately illustrates the curve C? (b) If F(x, y) = (2+eVsin(x),0), then the integral Sc F·dr is negative positive zero (c) Which of the following calculates the length of C? 2 2 I Vezr+ ? cos²(T t)dt Vet +n² sin²(rt)dt e' + π sin? (π)dt | Vezt + cos²(1 t)dt Vezt + 7² sin²(1t)dt e2t + cos² (n t)dt e2t + 7² sin²(n t)dt 0.
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