2 (22) (^²+ + ²)^ 2 1 20 = Convergence

Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

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Q: Find the value of the Boolean expression for (x1 ^ (x2 V (X1 A2))) v ((x1 ^T2) V (X1 A 3)|

A:

Q: (4) VL1, L2 ((L1 UL2)* = L₁* U L₂¹).

A: This is always True

Q: 5 ¹ (²³) = O t^(6)/36 O t^(5)/24 O None of them O t^(4)/6

A: The given inverse Laplace transform is .We have to find the inverse Laplace transform.

Q: S(15 ) for 3 + 3x+ 3x^2+....

A: First indentify the sequence than use the formula for its summation.

Q: stake he made in simpli 7x 4x 7 • 4x*+²,³+6 7• 4x+2, 28x'y³

A:

Q: 0- x²dx 6. 5 1 (1 — х2)2

A: Given integral is ∫-10x2dx1-x252dx

Q: (4³ + 6)%,' = x^(,5 + 6)5 y

A:

Q: (x+2)" (^+3)! Find 8 W

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Q: express     n-1 Σ((k^2)/n) k=1   in closed form.

A: The given question is related with closed form of finite sum. Given that,…

Q: Determine the principal value of (3+j2)^(3+j2)

A:

Q: Evaluate L-1{- [6] S -} + 169) (s - 9) (5².

A:

Q: 5. Evaluate (1 + a) / (1+ a^2)

A: Given, 1+a1+a2

Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

A:

Q: lim (Vx2 + x (v. – x

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Q: Find the coefficent of x^6 in the following: (1 + 2x + 4x^2 + 8x^3 + ...)(3x^2 + 3x^4 + 3x^6 +…

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Q: Ef(x) = x² + 2x – 6find 7(x+h)-f(x) h = 0

A:

Q: find

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Q: 35./ d-1-10. Toga(x-1)-10ga (xtb)) = l09.Cx2)

A:

Q: Let 43^(55) + 55^(43)= 7q+r, where q and r are two integers such that 0<=q<7. Then r is equal to?

A: Let 43^(55) + 55^(43) = 7q +r, where q and r are two integers such that 0&lt;=q&lt;7. Then find the…

Q: Evaluate d (2 – 1) (z + 7)] | da O 3x^2 + 14x + 1 3x^2 14x + 1 O 3x^2 - 14x - 1 3x^2 + 14x - 1

A:

Q: what is convolution of [(e^-2t)u(t)]*3dirac(t)+6e^-2t

A:

Q: ((1/z-6)-(1/z+6))/(12/z^2-36)

A: Given,

Q: 15f(n)=(2n+1)^(2)-(2n-1)^(2)-10 where is an integer. Prove that f(n) is never a multiple of 8

A:

Q: For Problems 1-20, find the Laplace transform of the given function, using Table 5.1 from Section…

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Q: Question Enter the correct answer Use the power of a power (9^((1)/(4)))^((7)/(2))

A: Given expression is 9(14)72 It is required to find the value.

Q: 6. Theorem X = 83 M (9x + 40)

A: