Find the mass of a wire that lies along the curve r(t)= (t² – 8) j+2tk, 0≤t≤2, if the 3 density is 6= —t. 2 S8(x,y,z)ds= C (Type an exact answer, using radicals as needed.)
Find the mass of a wire that lies along the curve r(t)= (t² – 8) j+2tk, 0≤t≤2, if the 3 density is 6= —t. 2 S8(x,y,z)ds= C (Type an exact answer, using radicals as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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![Find the mass of a wire that lies along the curve r(t) = (t² −8) j +2tk, 0≤t≤2, if the
3
density is 8 —t.
2
S8(x,y,z)ds=
C
(Type an exact answer, using radicals as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe7e575d-dfd7-411c-ad5f-62e2be64ba9f%2F0fd8d9b9-effa-4900-a929-b3b4491c57f7%2Fg492i4e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the mass of a wire that lies along the curve r(t) = (t² −8) j +2tk, 0≤t≤2, if the
3
density is 8 —t.
2
S8(x,y,z)ds=
C
(Type an exact answer, using radicals as needed.)
![Find the work done by the force F = xyi + (y - x)j over the straight line from (-3,3) to
(-1,1).
The amount of work done is
(Type an integer or a simplified fraction.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe7e575d-dfd7-411c-ad5f-62e2be64ba9f%2F0fd8d9b9-effa-4900-a929-b3b4491c57f7%2Fy1k70z4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the work done by the force F = xyi + (y - x)j over the straight line from (-3,3) to
(-1,1).
The amount of work done is
(Type an integer or a simplified fraction.)
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