Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
6th Edition
ISBN: 9781524908102
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 13.6, Problem 29PS
To determine
To find: The value of given integral by Stoke’ theorem.
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3.4 You are given a vector function A and an open surface S bounded by C. Determine
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TT
TT
A = 2 a, + 5r sin 0 cos o a, + 4 cos 0 as
4
3. Let the curve C be traced by the vector-valued function
R(t) = cos(at) i + at j+ sin(rt) k.
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Chapter 13 Solutions
Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
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- 2. For this entire page, let r(t) = (4 sin(t), 3t, 4 cos(t)) (a) Circle the correct graph for the curve traced by r(t) for 0 ≤ t ≤ 4T. Z Y O. W Z Y Х (b) Calculate the vector r(0). Draw this vector in an appropriate location on your chosen graph above. x Y X (c) Calculate the vector r'(0). Draw this vector in an appropriate location on your chosen graph above. (d) Calculate the arc length of this curve from 0 ≤t≤ 47. Show all your work and give an exact answer.arrow_forwardProblem #2: Use Stokes' Theorem (in reverse) to evaluate (curl F) · ndS where + x² + F = 8yzi + 7xj +4yzex²2k, S is the portion of the paraboloid = = normal on S points away from the z-axis. for 0 ≤ ≤ 2, and the unitarrow_forwardPlease answer question 3 only. If possible, under 30 minutes. Thank you.arrow_forward
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