Given: g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 Find (1) the derivative with respect to x and (2) the derivative with respect to y. Show all necessary solutions.

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Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

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A: On solving this we will get:-

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A: Question-  Find the inverse Laplace Transform of the given function-  f(t) = cos (2t)