2. Find all singularities for the following functions, and describe their nature. (a) tan z 1 (b) el/z+1 1 (c) sin z COS Z

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Q: 2. Use mathematical induction to prove 8^n - 1 is a multiple of 7 whenever n is a positive integer.

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Q: Find the inverses of the matrices or show that they do not exist. -5 -3 1 -2 A B= = 1 6 = 2 -3

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Q: Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 1. Use any direct method…

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Q: 1. Given the function f(x,y) = xexy², find fx and fy.

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Q: {zec: 12-1+i/ 2} b. ext D = {zec: /2-1+z2} c. ext D = {ZEC: /2-1 + i] =2} d. ext D = {26@= /2-1+i)…

A: For any complex number: z=x+iy, it can be written that: z=x2+y2.

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Q: Laplace transform method) حل نمائید. u(x) = = - [ (x - [ (x - )ur )dt

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Q: Determine the Fourier series of the periodic function shown in Figure 2.1.

A: This is a question from Fourier Analysis.

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Q: (b) Let D be the region of R3 which lies outside the cylinder x² + y2-1, inside- the sphere x² + y²…

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Q: Consider the system 3x + 7y + 13z = 76 x + 5y + 3z = 28 12x + 3y - 5z = 1 1. Use any direct method…

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Q: Solve the initial value problem ut +2ux = -tu(x, t), t> 0, x R u(2,0) =sinx.

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Q: FIND Y(s) OF THE GIVEN EQUATION.

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Q: Find the exact values at which the transition points occur, if any, for the function f. f(x) = x 8…

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Q: 1: Let p: “Chad is a good teacher.”, q: “Karen is a good teacher.”, r: “Chad's students hate math.”,…

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Q: ples that ticle that uses the concep ou may cut it from news met. Make sure to give a ouped data…

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