Let f(r. y) = * if (1, y) # (0,0) if (1, y) = (0,0) Show that af/ðr and af /ðy exists at (0,0) but f is not differentiable at (0,0). (Hint: You may use the theorem saying differentiability = continuity.)

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A: Use the divergence theorem to solve this problem.

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Q: find the divergence of F. F(x, y, z) = x²i + y²j+z²k div F = 2(x + y+ z) div F = 3yz? + 2y sin z +…

A: Topic = Derivative

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Q: 2. Prove that the directional derivative of f (x, y, z) = xy sin z at direction v = i+2j+ 2k is .…

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Q: c) Let f(r, y) = Vlry| Prove that f(r, y) is not differentiable at point (0, 0).

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Q: Assume the second derivatives of ƒ are continuous throughout the xy-plane and ƒx(0, 0) = ƒy(0, 0) =…

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Q: Assume the second derivatives of ƒ are continuous throughout the xy-plane and ƒx(0, 0) = ƒy(0, 0) =…

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Q: that F(x, y, z)= Divergence Theoren

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