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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 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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 57E
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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.)
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.)
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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