MATHEMATICS A PRACT ODYSSEY -WEBASSIGN
8th Edition
ISBN: 9780357425831
Author: Johnson
Publisher: CENGAGE L
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Chapter A, Problem 18E
To determine
To calculate:
The value of
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(1) (8 points) Let c(t) = (et, et sint, et cost). Reparametrize c as a unit speed curve
starting from the point (1,0,1).
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=
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= (x²+y4,3xy, 2x2 + 2²).
(a) (4 points) Calculate the divergence and curl of F.
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(c) (6 points) Find the flux of F across the boundary of the unit cube E = [0,1] ×
[0,1] x [0,1].
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(a) (8 points) Let C be the circle x² + y² = 4. Let
F(x, y) = (2y + e²)i + (x + sin(y²))j.
Evaluate the line integral
JF.
F.ds.
Hint: First calculate V x F.
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F).dS.
Justify your answer.
Chapter A Solutions
MATHEMATICS A PRACT ODYSSEY -WEBASSIGN
Ch. A - Prob. 1ECh. A - Prob. 2ECh. A - Prob. 3ECh. A - Prob. 4ECh. A - Prob. 5ECh. A - Prob. 6ECh. A - Prob. 7ECh. A - Prob. 8ECh. A - Prob. 9ECh. A - Prob. 10E
Ch. A - Prob. 11ECh. A - Prob. 12ECh. A - Prob. 13ECh. A - Prob. 14ECh. A - Prob. 15ECh. A - Prob. 16ECh. A - Prob. 17ECh. A - Prob. 18ECh. A - Prob. 19ECh. A - Prob. 20ECh. A - Prob. 21ECh. A - Prob. 22ECh. A - Prob. 23ECh. A - Prob. 24ECh. A - Perform the calculations in Exercises 1-32. The...Ch. A - Perform the calculations in Exercises 1-32. The...Ch. A - Prob. 27ECh. A - Prob. 28ECh. A - Perform the calculations in Exercises 1-32. The...Ch. A - Prob. 30ECh. A - Prob. 31ECh. A - Perform the calculations in Exercises 1-32. The...Ch. A - Solve 4.2x2+8.3x+1.1=0 for x. Check your two...Ch. A - Solve 5.7x2+12.3x8.1=0 for x. Check your two...Ch. A - Prob. 35E
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