(i) Find fæ, fy, fry, far and fyy for the function: f(x, y) = e¹y² + x³y³ . Verify that fry = fyx. Find fa, fy, fry, fax and fyy for the function: Verify that fay=fyx. f(x, y) = y² cos x - x ln (x + y).

Q: 3. Find , 9 for the functions: ax' ây sin(x³ + y* ) x* +y , (x,y) = (0,0) f (x.y) = .(x.y) = (0,0)

A: f(x,y)=sinx3+y3x2+y2, x,y≠(0,0)0, (x,y)=(0,0)

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Range and domain of given graph is given : y= sqrt(x-5)  y = 1/(x-2)

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A: The solution is given below

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A: Q1:Given:xy=x52-4x32=16x                                        →...(1)To show:The functions are…

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