Use the following constant in your calculations arctan 1 0.78 rad cos 0.78 0.71 sin 0.78...

 

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Use the following constant in your calculations arctan 1 0.78 rad cos 0.78 0.71 sin 0.78 0.71 arctan 2 1.11 rad cos 1.11 0.44 sin 1.11 0.9 arctan 3 1.25 rad cos 1.25-0.32 sin 1.25 0.95 Question 1 (20 Points): Integrate f(x)=2x-2 from x=1 to x=3 using Trapezoi Rule. Choose 2 integration zones. Question 2 (30 Points): Given two complex numbers 2,-2-2i and z =1+3i a) Express components of z, and 2, in polar coordinate. b) Calculate 2, d) Calculate W=-+1 e) Calculate Inz Question 3 (15 Points): Show the mapping W-222-3z-2 is analytic. Question 4 (15 Points): Solve the following linear system of equation using the Gaus Elimination Method. -x+2y=0 2x+3y=7 Question 5 (20 Points): Use the cofactor method to find the inverse of matrix A. Here and "b" are constants. [1 b 0 A=b 1 a 0 a 1 Use the following constant in your calculations arctan 1 0.78 rad cos 0.78 0.71 sin 0.78 0.71 arctan 2 1.11 rad cos 1.11 0.44 sin 1.11 0.9 arctan 3 1.25 rad cos 1.25-0.32 sin 1.25 0.95 Question 1 (20 Points): Integrate f(x)=2x-2 from x=1 to x=3 using Trapezoi Rule. Choose 2 integration zones. Question 2 (30 Points): Given two complex numbers 2,-2-2i and z =1+3i a) Express components of z, and 2, in polar coordinate. b) Calculate 2, d) Calculate W=-+1 e) Calculate Inz Question 3 (15 Points): Show the mapping W-222-3z-2 is analytic. Question 4 (15 Points): Solve the following linear system of equation using the Gaus Elimination Method. -x+2y=0 2x+3y=7 Question 5 (20 Points): Use the cofactor method to find the inverse of matrix A. Here and "b" are constants. [1 b 0 A=b 1 a 0 a 1