Express the following function in the form f(z)=u(x,y)+iv(x,y) 1. cos(z^2)

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Q: 1. Consider the group D5. Give five examples of D5 acting on a set, other than the trivial action. F...

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A: Linear Dependence: Let A = v1, v2,…, vr be a collection of vectors from ℝn . If r>2 and at least ...

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Q: (b) a)

A: (a) The new Eularian graph is shown in the figure given in step 2. 

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Q: Use a Venn diagram. Let P(Z) = 0.51, P(Y) = 0.38, and P(Z u Y)= 0.72. Find each probability. (a) P (...

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Q: b. Define a relation SER XR by S ={ (x,y) E R × R |x – y € Z }. Prove that S is an equivalence relat...

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

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Q: Exercise 4: Use separation of variables to find a family of solutions to the following PDE u:(x, t) ...

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Q: The solution of the initial value problem y" + 25y = 10 cos(5t), y(0) = 2, y' (0) = 0 %3D y = 2 cos(...

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