(b) Use the corresponding formula to evaluate the line integral F. ds where F(x, y, z) = (xz, -yz, -yz) and C is the curve represented by the vector function %3D F(t) = (2t, -3t, -2t – 1) with 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...
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solve part b

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.
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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