Let F=xi+yj+zk and let f(x,y,z)=x^2e^(y-z).a) Describe a surface S together with orientation so that double integral (F.dS)<0b) Explain why you cannot find a surface S so that double integral f(x,y,z)dS<0. 2. Let F = xi + y + zk and let f(x, y, z) = x² e²-².(a) Describe a surface S together with orientation so that(b) Explain why you cannot find a surface S so thatIS FĒ· ds < 0..[[ f(x, y, z)ds <0.S

The given functions are: F=xi+yj+zk, and f(x,y,z)=x2ey-z. (a) To Find: A surface S such that…

2. Let F = xi+yj + zk and let f(x, y, z) = x² e²-². (a) Describe a surface S together with orientation so that (b) Explain why you cannot find a surface S so that Issi S F. d5 <0. √ [ f(x, y, z)ds < 0.

2. Let F = xi+yj + zk and let f(x, y, z) = x² e²-². (a) Describe a surface S together with orientation so that (b) Explain why you cannot find a surface S so that Issi S F. d5 <0. √ [ f(x, y, z)ds < 0.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

100%

Let F=xi+yj+zk and let f(x,y,z)=x^2e^(y-z).

a) Describe a surface S together with orientation so that double integral (F.dS)<0

b) Explain why you cannot find a surface S so that double integral f(x,y,z)dS<0.

2. Let F = xi + y + zk and let f(x, y, z) = x² e²-².
(a) Describe a surface S together with orientation so that
(b) Explain why you cannot find a surface S so that
IS F
Ē· ds < 0.
.
[[ f(x, y, z)ds <0.
S

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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