n (α) Σ λε

Q: Integrate. √ ( 7x² + 2/17 - 0²³) 0 3x 4+ dx = 0 +C

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Q: 5x2 +20x+6 7 dx χ(x+1)2

A: we have given,

Q: Σ n=1 (-1)"-1 √2n – 3

A:

Q: Given matrix A and its first two eigenpairs: A = -4 a b с 2 d e f -2 A₁ = 1, x₁ = A₂ = -2,1₂ =

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Q: Without a calculator, show that 2√3-3 2√6-3√3 √6-√√2 4

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Q: 7 Σ (4-J) J=3   (Find Sn)

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Q: Write a simplified formula for the composite (S oT)(x, y) when S(x, y) = (4x, 2y) and T(x,y)= (x+1,…

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Q: Find the value of (1+ i)" + (1– i)", V n e N

A: To simplify 1+in+1-in , first convert both the terms of 1+in+1-in that is 1+in and 1-in into…

Q: XI. 6 F dF where F = (x³ – y, x + e') and C is triangle with vertices (0,0), (3,0), (4,2).

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Q: 3. Iterate towards a maximum value of the function C(x, y) using the Newton's method with fixed step…

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Q: ΣΕ (2) k%3D1

A: Answer

Q: A = Γλ-4 0 0 X 0 0 2 3 A-1

A: Given :A=λ-4000λ203λ-1

Q: Find (e3x + 5sinx)dx. -e3x +5cosx +C O a. 3 e3x+1 -5cosx + C b. 3x + 1 e3x -5 cosx + C OC. -e3x -…

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Q: Solve the First ODE (3y* – x*)dx = 3xy'dy || 4-4ln(2x)+c А-у %3D 4 4-4ln(x)+c B- y = 2 4-4ln(x)+c C-…

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Q: Find the value of k so that the value of f (2y- 1) dy is 10. 1 4

A: We have to find the value of k.

Q: M8 (2-3x)"

A: Given: Series ∑n=1∞2-3xnn3n To find: Sum of given series.

Q: 6х —9 4.) dx 22— 3х +2

A:

Q: Compute e-1/z ₁-3+1° -dz, and $ e¹/2² |z-i|=3/2 2² +1 dz.

A: Concept Used If a complex function f(z) is analytic within and on a closed contour c inside a…

Q: e-(6x+5y) dxdy

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Q: dx 3— 2л — т2

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Q: e3z I dz (ez + e 5z )2 II

A: Introduction: The Ortrogradsky's method is used in finding integration when the integrand is a…

Q: 2х + 1 J (x – 2)(x – 3)²ax

A:

Q: Solve for x. . ΔΑΒC - ADEC x + 1 AC 15 E B 12 x + 5

A: Given that: ∆ABC~∆DEC

Q: ») If y = Σo (k + 1)xk+3 then y' = Σo

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Q: 3. Find all possible values of k if "(2x + 4) dx = -12

A: Given integral is as below:

Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

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Q: K← Integrate. Sxsin (8-5x²) dx=+C

A: To solve the following

Q: dx x(In x)* Select one: a. (In x)³ 1 O b. 3(In x)³ -1 C. (In x)3

A: Explanation of the solution is given below....

Q: .2 dt t2 + 1 dx

A: