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Given the curve C: r(t) = (−2 + 2t)i + (1 − 2t)j + 2tk,0 ≤ t ≤ 1, the function f(x,y,z) = 2x + y + 32² and the vector field F(x,y,z) = (x + y)i + 2z²j + y²k (1) Calculate the curve integral f(x,y,z)ds

Given the curve C: r(t) = (−2 + 2t)i + (1 − 2t)j + 2tk,0 ≤ t ≤ 1, the function f(x,y,z) = 2x + y + 32² and the vector field F(x,y,z) = (x + y)i + 2z²j + y²k (1) Calculate the curve integral f(x,y,z)ds

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 21E
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Given the curve C: r(t) = (-2+ 2t)i + (1 - 2t)j + 2tk,0 st≤ 1, the function f(x,y,z) = 2x + y + 3z² and the vector field F(x,y,z) = (x + y)i + 2z²j + y²k (1) Calculate the curve integral [ f(x, y, z)ds C
Transcribed Image Text:Given the curve C: r(t) = (-2+ 2t)i + (1 - 2t)j + 2tk,0 st≤ 1, the function f(x,y,z) = 2x + y + 3z² and the vector field F(x,y,z) = (x + y)i + 2z²j + y²k (1) Calculate the curve integral [ f(x, y, z)ds C
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