A) Consider the vector field F(x, y, z) = (yz, -9xz, -8xy). Find the divergence and curl of F. div(F) = V · F = curl(F) = V x F = ( =(000). B) Consider the vector field F(x, y, z) = (-7x², 9(x + y)², −6(x+y + 2)²). Find the divergence and curl of F. div(F) = V. F= curl(F) =V x F = (0

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A: We have to find the rate of heat flow out of a sphere of radius .

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Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

A: Since the surface is whole sphere, that is S is closed so we can apply Gauss Divergence Theorem.

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Q: Q5) If the vector field T = (axy + Bz³)a, + (3x² – yz)a, + (3xz² – y)a, is irrotational, determine…

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

A: We have to find the heat flow out of the sphere of radius

Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

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A: Option (c) correct  For detail...go through the solution

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Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

A: A sphere of radius 1 is x2 + y2 + z2 = 1. Parametrize the sphere as follows:Now,Now,calculate the…

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