Consider the functions below. F(x, y, z) = xizj+yk r(t) = 4ti + 6t j - t² k (a) Evaluate the line integral ICF F. dr, where C is given by r(t), -1 st≤ 1. (b) Illustrate part (a) by using a graphing calculator or computer to graph C and the vectors from the vector field corresponding to t= 1 and ±
Consider the functions below. F(x, y, z) = xizj+yk r(t) = 4ti + 6t j - t² k (a) Evaluate the line integral ICF F. dr, where C is given by r(t), -1 st≤ 1. (b) Illustrate part (a) by using a graphing calculator or computer to graph C and the vectors from the vector field corresponding to t= 1 and ±
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the functions below.
F(x, y, z) = xi-zj+yk
r(t) = 4t i + 6t j - t² k
(a) Evaluate the line integral
(b) Illustrate part (a) by using a graphing calculator or computer to graph C and the vectors from the vector field corresponding to t = ±1 and ±
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F. dr, where C is given by r(t), -1 ≤ t ≤ 1.
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2
4
6
2
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2
6
4
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5
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