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  3. problem 7. consider the line integral z c y sin x

Problem 7. Consider the line integral Z C y sin x dx ? cos x...

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Basic Math

Problem 7. Consider the line integral Z C y sin x dx ? cos x dy.(Please show all work)

a. Evaluate the line integral, assuming C is the line segmentfrom (0, 1) to (?, ?1).

b. Show that the vector field F = is conservative, and find apotential function V (x, y).

c. Evaluate the line integral where C is any path from (?, ?1)to (0, 1).

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