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CalculusQ&A LibraryHomework 3Due: Tuesday, November 27th1. Find the domain of the functionsa) fx,y)-32572-25b) f(x,y)-c) f(x,y)-36- 6x2 y22. Evaluate the limit using the properties of the limit:16-x2-y2-227xy2lim(x,y)-(2,3) X2 + y23. Verify the limit using the definition:7xy2(x,y)(0,0)%2 + y24. Discuss the continuity for:3x-x2+y2-95b) h(x,y)5. Find the partial derivatives for:4,2b) f(x,y)-e cos(xy2)6. Find the slope in the x-direction and in the y-direction of the surfacefix.y)-x2+ at the point (0,-1,2) using partial derivatives.Question

Asked Dec 10, 2018

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Step 1

1.

a)

Given

Here if x=0, f is undefined.

So domain of f is belonging to R^{2} except x≠0

Step 2

Hence the domain is

Step 3

b)

Given

Here if x2+y2+z2 = 16, f is undefined.

So to domain of f is belonging R2 except x...

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