Let f be a function with 2 + 3i as the only singular point of it. If 2 + 3i is a removable singularity of f and C: Iz-2-3i) - 1 then I = f(z)dz is O None of these O O by Cauchy-Goursat Theorem O 0 but Cauchy-Goursat theorem is not applicable 2+3i O2ni

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Q: PS1(2) If A, B = Mn(F) and a, BE F, prove that tr (aA + BB) = a tr A + 3 tr B.

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A: We have given a initial value problem ,  25y'' - 40y' + 16y = 0   , y0 = 2 , y'0 = 3 First we will…

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Q: Question 20 Given the equation -4x² + 8x - 4y² – 56y - 4z² + 32z = -312 - a) Show that the given…

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Q: Find for the following functions: (4) y = x sinh 2x --cosh 2x (2) y = tan³√/cot(7x); (3) y= sin Imvr

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Q: Solve the initial value problem y" - 5y' - 36y = 0, y(0) = a, y'(0) = -32. Find a so that the…

A: To solve the initial value problem :- y" - 5y' - 36y=0 , y(0)=α , y'(0)=-32 .

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Q: 4. What is the length of the latus rectum of the ellipse whose equation is ²+ <= 1. 25 16

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Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j+5k 4i + 5j-6k (PUBIEN

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A: I have given the answer in the next step. Hope you understand that

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Q: Question 20 Given the equation -4x² + 8x - 4y² - 56y - 4z² + 32z = -312 a) Show that the given…

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Q: 4.5 -0.5 5 Select one: O y = -² -2y None of these. O y = y² - 2y O y = y² + 2y Oy - 2y = -y² -3 -2.5…

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Q: Find theoretically (using the bisection theorem) an approximation to √ 3 correct to within 10−4

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Q: Consider the diffusion equation: Ut(x, t)=kUxx(x, t), U(x,0) = f(x), U (0,t) = U(l, t) = 0, 0≤x≤l,…

A: Crank and Nicolson (1947) proposed and used a method that reduces the total volume of calculation…

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Q: Find the volume of the given solid over the indicated region of integration. f(x,y)=2x+2y+7;…

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Q: Solution by Diagonalization: In Problem below, find the general solution of the given ystem. X'=

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Q: Given the following matrices A and B, find an invertible matrix U such that UA = B: You can resize a…

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Q: (B): If A = 2i + 3j - 4k; R = 3-4j+5k and C=i+j-k, find: (UU)Ã. (B+C)and (A + B). (iv) (3A+48).C…

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Q: Find a particular solution using the Undetermined Coefficients Method of y" - y' + y = 2 sin3x.

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Q: Let z = exsec y Find d²z dxdy and d²z dydx

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Q: Let w = f(x, y) and x, y in polar cordainate then (fr)² + (fy)² =

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Q: Find the volume V of the solid below the paraboloid z = 4-x² - y² and above the following region. R=…

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