Question 8 Let S be the sphere of radius 5 centered at the point (11,9,7). Think of the sphere as a globe with the north pole at point with the largest z-value. Let C be the curve which is the equator of S, travelled clockwise when viewed from above. a) Parameterize the curve C. b) For F = cos(y²)î + ln(x)ĵ + (z − 3)k, set up the following integral: fF.Tds. C Leave your integral for part (b) in terms of your parameter from part (a). Do not evaluate your integral.
Question 8 Let S be the sphere of radius 5 centered at the point (11,9,7). Think of the sphere as a globe with the north pole at point with the largest z-value. Let C be the curve which is the equator of S, travelled clockwise when viewed from above. a) Parameterize the curve C. b) For F = cos(y²)î + ln(x)ĵ + (z − 3)k, set up the following integral: fF.Tds. C Leave your integral for part (b) in terms of your parameter from part (a). Do not evaluate your integral.
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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Question 8 Let S be the sphere of radius 5 centered at the point (11,9,7). Think of
the sphere as a globe with the north pole at point with the largest z-value. Let C be
the curve which is the equator of S, travelled clockwise when viewed from above.
a) Parameterize the curve C.
b) For F = cos(y²)î + ln(x)j + (z − 3)Ê, set up the following integral:
99+
X
1 of 2
f. F.
Leave your integral for part (b) in terms of your parameter from part (a). Do not
evaluate your integral.
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MATH213SampleFinalB.pdf
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F.Tds.
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1:49 AM
5/12/2023
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For the z-coordinate of the north pole at N(11,9,12), how did you guys get 12?
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