Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
Related questions
Question
![Question Three
(a) Prove that F(x, y, z) = (y² cos z+z³)i+(2y sin a-4)j+(3a2+2)k is a conservative
vector field.
(b) Assume that F(x, y, z) = ei +rej + (z + 1)e-k is a vector field defined on a
smooth curve C given by r(t) = ti+t²j+t³k for 0 ≤ t ≤ 1.
Page 1 of 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ab93dff-ad88-4a81-9a2a-7598cfa6d89c%2F93918e30-edb4-4cb6-acf5-7c3ec1a3625a%2Fefxijhq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question Three
(a) Prove that F(x, y, z) = (y² cos z+z³)i+(2y sin a-4)j+(3a2+2)k is a conservative
vector field.
(b) Assume that F(x, y, z) = ei +rej + (z + 1)e-k is a vector field defined on a
smooth curve C given by r(t) = ti+t²j+t³k for 0 ≤ t ≤ 1.
Page 1 of 2
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