Let F(x, y) = 2xy³i+ (1+3x²y?)j. (a) Demonstrate that F is conservative. (b) Find the potential functionf such that Vf = F. 7.
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![7.
Let F(x, y) = 2xy³i + (1+ 3x?y?)j.
(a) Demonstrate that F is conservative.
(b) Find the potential function f such that Vf = F.
(c) Evaluate the line integral /
F. dr where C is given by r(t) = (t + 1)i + (2 - t2)j where 0<t< 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7454ea4e-1675-4fd3-b569-590b848207bb%2F7513e77b-cbde-480d-a373-77d7f6c8dfaf%2Fo4zm56c_processed.jpeg&w=3840&q=75)
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