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Consider the curve C shown in the attached figure, which is the intersection between surfaces S, and S2. with S;: a (z - a) = (y - a)² and S2: x2 + 4y² = 4a² , for a> 0.

Consider the curve C shown in the attached figure, which is the intersection between surfaces S, and S2. with S;: a (z - a) = (y - a)² and S2: x2 + 4y² = 4a² , for a> 0.

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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Consider the curve C shown in the attached figure, which is the intersection between surfaces S, and S2 with S;: a (z - a) = (y - a)² and Sz: x2 + 4y2 = 4a² , for a> 0. a(z – a) = (y – a)² 2' + 4y² = 4a²
Transcribed Image Text:Consider the curve C shown in the attached figure, which is the intersection between surfaces S, and S2 with S;: a (z - a) = (y - a)² and Sz: x2 + 4y2 = 4a² , for a> 0. a(z – a) = (y – a)² 2' + 4y² = 4a²
A parameterization of curve C is: A) F(0) = 2a sin(0) î +a cos(0) ĵ+ (a cos²(0) – a cos(0) +2a) k, para 0<0< B) F(t) = /Aa² – 4ť² î + t ŷ+ [¿(t – a)² + a] k, para 0<t < 2a ) F) = t i + V/a² - § j+ : (Va² - - a) + k, para 0<t<a D) F(0) = 2a cos(0) î + a sin(8) ĵ+ (a sin (0) – 2a sin(8) + 2a) k, para 0 <os %3D
Transcribed Image Text:A parameterization of curve C is: A) F(0) = 2a sin(0) î +a cos(0) ĵ+ (a cos²(0) – a cos(0) +2a) k, para 0<0< B) F(t) = /Aa² – 4ť² î + t ŷ+ [¿(t – a)² + a] k, para 0<t < 2a ) F) = t i + V/a² - § j+ : (Va² - - a) + k, para 0<t<a D) F(0) = 2a cos(0) î + a sin(8) ĵ+ (a sin (0) – 2a sin(8) + 2a) k, para 0 <os %3D
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