Let ƒ : C → C be the function defined by ƒ(z) = z². Using the derivative of ƒ, describe the approximate geometric effect of applying ƒ to a small disc centred at 1+i. (Recall: this effect consists of translation, scaling and rotation).

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A: Given : f(x,y)=|x|+sin(y)   To sketch : contour using the k-values k=1,2,3

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A: Solve the following

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A: Given that:  Tangents at point (1, 2) are:  <2, 0, 8> and <0, -1/3, 2>

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A: A curve with equation, y=2x2+x, is given.a If P is the point 1, 3 and Q is the point 1+h, 21+h2+1+h.…

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A: The given function is .To determine the contour map and the sketch of the function.

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A: Given: fx, y=5ex-y. To Find: Equation of tangent plane to the graph of f at the point 5, 5.

Q: me please: Suppose X1, X2 ∼ Unif(0, 1) and are independent. Let

A: We have given that X1, X2 ∼ Unif(0, 1)

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A: Domain of the function is the values of x,y and z for which function is defined.

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Q: consider the function f(x,y)= arcsin(2x+y). Find and sketch the domain, and find the range.

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Q: orthogonal curves of the curves xy=C graph

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