Consider F and C below. F(x, y, z) = (2xz + y²)i + 2xyj + (x² + 12z²) k C: x = t², y = t + 3, z = 2t – 1, 0≤t≤1 (a) Find a function f such that F = Vf. f(x, y, z): = =[" C (b) Use part (a) to evaluate Vf. dr along the given curve C.

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A: Given fx=F4x-4hence u=4x , v=4f'x=∂F∂u.∂u∂x+∂F∂v.∂v∂xBy chain rule      =∂F∂u.∂∂x4x+∂F∂u.∂∂x4…

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A: Solution is given below..

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A: The answer provided below has been developed in a clear step by step manner.

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A: Consider: fx,y=6x-7y+3. Find. a) f4,-1 Substitute x=4 and y=-1 into fx,y=6x-7y+3 and solve to…

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A: Use logarithms definition to choose the correct answer.

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A: Consider the given function : f(x,y)=(1+x+y)e-xy

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Q: Find fry (1,2) for f (x, y) = y?ln(7 + x) +. 23 41 -- 4 23 41 4 27°C Rain showers

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