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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)ĵ + (z − 3)k, set up the following integral: fo F.Tds. 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: fo F.Tds. Leave your integral for part (b) in terms of your parameter from part (a). Do not evaluate your integral.

Advanced Engineering Mathematics
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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Quesion 8 

€ 뵤 Joel R. Hass, Christopher Heil, Ma x File | C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalA.pdf Draw https://openvellum.ecollege.com X PDF MATH213SampleFinalA.pdf (T) Read aloud Type here to search Don E 100 H + a 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. Р O MATH213SampleFinalB.pdf (D F.Tds. x + O re 64°F ⠀ 1:49 AM 5/12/2023 • CM 1 +
Transcribed Image Text:€ 뵤 Joel R. Hass, Christopher Heil, Ma x File | C:/Users/Marvin%20Durosier/Downloads/MATH213SampleFinalA.pdf Draw https://openvellum.ecollege.com X PDF MATH213SampleFinalA.pdf (T) Read aloud Type here to search Don E 100 H + a 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. Р O MATH213SampleFinalB.pdf (D F.Tds. x + O re 64°F ⠀ 1:49 AM 5/12/2023 • CM 1 +
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