35. (- sint, cos t) dt

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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11.2)question 35
tion.
with the
31. Simplify 7(t) x 3(t), then find its derivative; show this is the
same as 7' (t) x 3(t) +7(t) × 3' (t).
32. Simplify 7(f(t)), then find its derivative; show this is the
same as 7' (f(t))f' (t).
e problems.
D)=(2, 2).
In Exercises 33-36, evaluate the given definite or indefinite
integral.
33. [(tº, cost, te¹) dt
34.
35.
/ (1+₁ sec² t) at
dt
36.
(- sint, cos t) dt
I
[S (2t + 1, 2t - 1) c
dt
cated interval.
41. 7(t) = (2 cos t, 2 sin t, 3t) on [0, 2π].
W
649
Transcribed Image Text:tion. with the 31. Simplify 7(t) x 3(t), then find its derivative; show this is the same as 7' (t) x 3(t) +7(t) × 3' (t). 32. Simplify 7(f(t)), then find its derivative; show this is the same as 7' (f(t))f' (t). e problems. D)=(2, 2). In Exercises 33-36, evaluate the given definite or indefinite integral. 33. [(tº, cost, te¹) dt 34. 35. / (1+₁ sec² t) at dt 36. (- sint, cos t) dt I [S (2t + 1, 2t - 1) c dt cated interval. 41. 7(t) = (2 cos t, 2 sin t, 3t) on [0, 2π]. W 649
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