Let S be the parametric surface, parameterized by r(u, v) = e" cos vi + e" sin vj + uk, (u,v) E D = [0, 1] × [0, 7]. (a) Let z be the value of | x at (u, v) = (0, 7/2). What is the value of (b) What is the total charge on the surface S if the surface charge density is given by restricting the function o(x, y, z) = /1+x² + y² to S ? (1) V2r(e – 1) (2) (3e + e³ – 4) (3) ((1+e²)Î – 2$) (4) none of the other answers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let S be the parametric surface, parameterized by
r(u, v) = e" cos vi + e“ sin vj + uk, (u, v) E D = [0, 1] × [0, 1].
(a) Let æ be the value of | x at (u, v) = (0, 7/2). What is the value of
(b) What is the total charge on the surface S if the surface charge density is
given by restricting the function o(x, y, z) = /1+x² + y² to S ?
(1) v27(e – 1)
(2) (3e + e3 – 4)
22 of 24
(3) ((1+e²){ – 2#)
(4) none of the other answers.
Your answer to (a). .
Your answer to (b).
Transcribed Image Text:Let S be the parametric surface, parameterized by r(u, v) = e" cos vi + e“ sin vj + uk, (u, v) E D = [0, 1] × [0, 1]. (a) Let æ be the value of | x at (u, v) = (0, 7/2). What is the value of (b) What is the total charge on the surface S if the surface charge density is given by restricting the function o(x, y, z) = /1+x² + y² to S ? (1) v27(e – 1) (2) (3e + e3 – 4) 22 of 24 (3) ((1+e²){ – 2#) (4) none of the other answers. Your answer to (a). . Your answer to (b).
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