Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
Related questions
Question
![Solve the following problems:
(a)
Determine whether the field
F(x, y, 2) = (-2², 2, –2xz – 62)
is conservative or not.
ANSWER:
(b)
Use the corresponding formula to evaluate the line integral
F. ds
where F(x, y, z) = (rz, -yz, -yz) and C is the curve represented by the vector function
F(t) = (2t, –3t, –2t – 1)
with 0 <t<1.
INTEGRAL SETUP:
ANSWER:
4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2e5a48c-fd68-470d-ac81-219d4a8096fc%2F5fc35b67-390c-44c3-8dc4-0f0a38786db9%2Fuvq9wd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the following problems:
(a)
Determine whether the field
F(x, y, 2) = (-2², 2, –2xz – 62)
is conservative or not.
ANSWER:
(b)
Use the corresponding formula to evaluate the line integral
F. ds
where F(x, y, z) = (rz, -yz, -yz) and C is the curve represented by the vector function
F(t) = (2t, –3t, –2t – 1)
with 0 <t<1.
INTEGRAL SETUP:
ANSWER:
4.
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