7. Let C be the oriented curve consisting of four line segments from (0, 0, 0)...

7. Let C be the oriented curve consisting of four line segments from (0, 0, 0) to (0, 2, 0), from (0, 2, 0) to (0, 0, 1), from (0, 0, 1) to (1, 0, 0), from (1, 0, 0) to (0, 0, 0).

Consider the vector field F (x, y, z) = <2z(1 + y) + e^x^10 , 3xz, 4(x + 1)y>.

(a) Compute the curl of F .

(b) Compute the line integral C F dr . (Hint: start by sketching the curve C.)

Expert Solution

Colby Messinger answered 6 months ago

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