Answered: 3.14 If D = x²za, + y’a, + yz²a,… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 12E

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3.14 and 3.17 Please.

3.14 If D = x²za, + y’a, + yz²a„ calculate the flux of D passing through the volume bounded
by planes x = -1, x = 1, y = 0, y = 4, z = 1, and z = 3.
A vector field is specified as A = ra, – 3a, + 50as. Find the flux of the field out of the
closed surface defined by 0 < r< 4,0< 0 < /2, 0 < ¢ < 3 < T/2.
3.15
3.16 (a) Evaluate xy dv, where v is defined by 0 <x< 1, 0 < y < 1, 0 < z< 2.
(b) Determine pz dv, where v is bounded by p = 1, p=3, 6 = 0, 0 = T, z = 0, and z= 2.
Section 3.5–Gradient of a Scalar
3.17 Calculate the gradient of:
(a) Vị
бху
2xz + z
(b) V2
10р cos ф — pz
(c) V3
cos o
=

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