Asap plz handwritten solution acceptable (1 point) Suppose that surface o is parameterized by1#r(u, v) = (u cos(4v), u sin(4v), v), 0≤ u≤7 and 0 ≤ v≤ ¹and f(x, y, z)= x² + y² + z². Set up the surface integral (you don't need to evaluate it).[[ f(x, y, z) ds = [[ f(x(u, v), y(u, v), z(u, v))R=pi/2070u^2 + y^2Ər ƏrXdvdAsqrt(1+16u^2)du dv

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Answered: [ f(x, y, z) ds = 2) ds = f f f (x(u,…

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[ f(x, y, z) ds = 2) ds = f f f (x(u, v), y(u, v), z(u, v)) || R Ər ἂν dA

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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Question

Asap plz handwritten solution acceptable

(1 point) Suppose that surface o is parameterized by
1#
r(u, v) = (u cos(4v), u sin(4v), v), 0≤ u≤7 and 0 ≤ v≤ ¹
and f(x, y, z)= x² + y² + z². Set up the surface integral (you don't need to evaluate it).
[[ f(x, y, z) ds = [[ f(x(u, v), y(u, v), z(u, v))
R
=
pi/2
0
7
0
u^2 + y^2
Ər Ər
X
dv
dA
sqrt(1+16u^2)
du dv

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