e(z – 1) The residue of f(z) = at z = -9 is -9e-9 (6+2)

Q: Residue of at z = -3 is (z+3)² Select one: a. -2 b. 2 C. 3 d. -1 е.

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Q: Calculate the Taylor polynomials T, and T3 centered at a = 3 for the function f(x) = x4 – 5x. (Use…

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Q: For x = (-∞, ∞), determine the rank r(A), where -3 -3 2 -1 5 x 4 x + 5 1 x + 3 1 1 A = 1 -1 0 0 -2 x

A: Given that .We need to find .

Q: F(1) = 6 and F(n)=3x F(n-1)nz2.

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Q: (A) Evaluate f (4r - 5) (4/E+4r) dr. dy (B) Find if y =| + 3x - when z = 1 %3D da 6.

A: Evaluate the integral and find the derivative of y at x=1

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

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Q: Given g(z)- In(8z +z), the derivative g(z) is %3D O 8z + O 9z O 72z +1 7278+1 O 72r +1

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Q: Ž (-1)k k=1 2.3k (b)

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Q: A6. Using Taylor's expansion, expand the polynomial f(r) = 2r - 13r + 28r - 11 in the form f(r) = ao…

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Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

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Q: Find the domain of h(x) = 7x 3x-8 g (x). O D. and g(x) = X x4- - 81 3x - 15 Choose the correct…

A: Topic = Functions

Q: * Find the derivative lic F (+) = (+³-2+ +1) (2+²

A: Given query is to find the derivative of the expression.

Q: x² – 4 Evaluate: A =Vx2-4+ sec-스)+C ⑥ -Vx2-4+2 sec-스)+C =V x2 – 4 – 2 sec + C (D =2Vx2-4+ sec-1스)+C…

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Q: 2. Which of the following polynomials has a graph which exhibits the end behavior of downward to the…

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Q: dthe She (5y-3)

A: We have to find (5y - 3)2

Q: For the equation 3y" + y' = 0, find the recursive relation equation. (n — 1) an–1 3n an-1 3n (n — 1)…

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Q: e truncation error in approximating e by o is ect one: a. Lk-5 k! b. 5! + 120

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Q: Find f(k-1) when f(x) = 5x² + 3x + 6. OA. f(k-1)= -7K² +5k+8 OB. f(k-1)=5k2-7K+8 OC. f(k-1)=5k²-7k+…

A: Given,

Q: Let f(x) = , find L, (x) of the second Lagrange interpolating polynomial, if x, =2, x, =2.5 , x, =4…

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Q: z f(z)=- at z=1 (z-1)"(z-2)(z-3)

A: Pole:- Let z0∈S and limz→z0fz does not exist, then z0 is called pole of order m, for some positive…

Q: ¹[-]-[8] d. If T: R² → R² and T 78-[8]. fnd 7 [3] T

A: Given:- If T:R2→R2 and T1-1=01,T11=10

Q: dx Evaluate 2x 10 (b) o (c) 1/2 (d) 0 -

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Q: Wich of te following is not a factor of f(x)=x^3+2x+3 in Z5[x] a. x+1 b. x+2 c. x+3

A: Which of the following is not a factor of f(x)=x^3+2x+3 in Z5[x]

Q: Evaluate f(x – 1)Vxª – 4x – 2dæ -

A: Given:      ∫x3-1x4-4x-23dx      =∫x3-1x4-4x-213dx   substitute u=x4-4x-2…

Q: Factor the following expression: x*y² - 8x²y³ +15x*y* O A. x*y (x-3y)(x+5 y) B. Nonfactorable OC.…

A: Solve for factor