Evaluate the integral |/ (curl F) •n dA directly for F= [-e", e², e"], S: z = x + y(0 Sx< 1,0

Q: Evaluate (₁ F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

A: NOTE: Refresh your page if you can't see any equations. . C:=smooth curve form (-5,4) to (3,2)…

Q: Evaluate the line integral feF. dr where F = (4 sin x, -3 cos y, 5xz) and C is the path given by…

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Q: _y²x I+ y? vertices (0, 0), (1,0), (1, 1), and (0, 1). 1. tan- y dx - dy, where C is the square with

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Q: Evaluate the integrals below: (-3) a) dx, b) cosy.eny. dx (xV(1 – (In4x³)² -2 -

A: in part b i integrate with respect to y because it is no sense of integrating with respect to x

Q: Use an appropriate transformation to eval- ate the integral /, sin(1 + 9y°) drdy 1 = I D -hen D is…

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Q: Evaluate the integral (show all work for any partial credit): ez-2 = f (7G-2+-1+ sin(z² – 2) ) dz c…

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. S (4…

A: The given line integral is ,              ∫c  4e5y dx+ 3 e5x dy where c is the rectangle with…

Q: (b) For each n E {0,1,2,...} calculate the value of the following integral. z" – z dz (z – i)" where…

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Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

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Q: Find the coordinate vector [x]B of the vector x relative to the given basis B. 23) b1 =| b2 and B =…

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: 1 dA (1+x2+y2)z

A: Explanation of the answer is as follows

Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

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Q: The number of houses that can be served by a water pipe varies directly as the square of the…

A: Given that, The number of houses that can be served by a water pipe varies directly as the square of…