Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
Related questions
Question
100%
d)
![a)
b)
c)
d)
If A=xz³ i-2x²yz j+2yz4 k, find VxA (curl A) at the point (1,-1,1).
Find the directional derivative of = x²yz + 4xz² at (1,-2,-1) in the direction
2i-j-2k.
Suppose that a particle travels once around the units circle in the counterclockwise
direction and that at the point (x, y) it is subject to the force
F(x, y) = (ex-³)i + (x+cos y)j. Use Green's theorem to find the work done by
the force.
Use Green's Theorem to evaluate the integral In(1+y) dx-dy, where Cis
1+
the triangle with vertices (0,0), (2,0) and (0,4).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4000e28a-5cf8-47ab-bb9c-d9b564c038d2%2F350a7c75-884b-41e6-b8ca-209b8ca3edb9%2Fkmjwqsp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a)
b)
c)
d)
If A=xz³ i-2x²yz j+2yz4 k, find VxA (curl A) at the point (1,-1,1).
Find the directional derivative of = x²yz + 4xz² at (1,-2,-1) in the direction
2i-j-2k.
Suppose that a particle travels once around the units circle in the counterclockwise
direction and that at the point (x, y) it is subject to the force
F(x, y) = (ex-³)i + (x+cos y)j. Use Green's theorem to find the work done by
the force.
Use Green's Theorem to evaluate the integral In(1+y) dx-dy, where Cis
1+
the triangle with vertices (0,0), (2,0) and (0,4).
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