8. Let S be a subset of Z defined recursively as follows: • Basis step: 2 e S Recursive step: if k e S, then: o k+5 €S o k-5 €S List all the elements of S whose absolute value is less than 20.

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A: Volume integration

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A: This is a problem of recurrence, generating function.

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A: Consider the inhomogeneous differential equation: f'''x=ex

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Q: 2. Evaluate the integral by first converting into spherical coordinates: |a²-x²-y² |a²-x²-yz (x²z+ y...

A:

Q: Let -2 М- -16 Find formulas for the entries of M", wheren is a positive integer. M" =

A:

Q: Prove that every group of order 330 is not simple.

A:

Q: • (d) ((A – B) + D / ((E + F) * G)) • (e) ( A – 2 * (B + C) / D * E) + F

A: (d) Prefix :           (A-B) + D/((E+F)*G)          -> +(A-B) D/((E+F)*G)          -> +-AB/D((...

Q: r+ cimo - coso)drt r Cino + co-B ナ

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A: We have to find the Ak.

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A: For the solution of the problem follow the next steps.

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Q: sin0=4,find tan O

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A: Solutions 

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Q: Evaluate the unoriented line integral +y² + z²) ds along the parametric curve a : [0, 1] → R³ with a...

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Q: Let S be a non-empty convex subset of R" and f a real valued concave function on S. Prove the follow...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: = [cos (t -) + sin (t-)u (t –) 14. F(t) = 2m,0 st<3; F(t+3) = F(t) 13. F(t) %3D 15. F(t) = 0(1,0<t<4...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: 7. Find the Inverse Laplace Transform of 3/ sqrt [(s - 2)^3] * A. (6/T) [ t^(1/2) e^2t] B. (6/T^1/2 ...

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Q: 5. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4 y(0) =y'(0) = O using L...

A: Given differential equation is y''(t) - 3y'(t) + 2y(t) = 4 with y(0) = y'(0) = 0

Q: 1 [1 0Sx<1 If f(x) = find the (a) Fourier sine transform, (b) Fourier cosine transform of f(x). x21 ...

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Q: B. Substitution as suggested by the equation 3. (x + 2y – 1)dx + 3(x+ 2y)dy = 0 when y(0) 4. sinxsin...

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Q: 2.2. Write the following statements in symbolic form using universal and existential quantifiers, us...

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Q: 8. 火 (1-ぺ) く

A: We know that: βm, n=∫0∞xm-11+xm+n and βm, n=ΓmΓmΓm+n, where βx, y is the Beta function and Γx is the...

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Q: こ。 2よx dり

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Q: Use the following matrices to compute the indicated expression if it is defined. 1. (С"В)A" 3 1 4 A ...

A: 1. (CTB)AT = 142315T4-10230-1211T              = 1341254-1023-11021              = 4516-2883-11021  ...

Q: sx) = = Find (fo g)(x). Find the domain of (fo g)(x). (Enter your answer using interval notation.) F...

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Q: Exercise.2 Prove that cos-1 z =- In(z ± Vz? – 1)

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A: 5. 

Q: 8. - 2] -3 -2 3 2 -1 2 -4 Given A= and B = and C = 8 and D= 5 3 4 - 7 4 4 8

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A: This is the problem of multi variable calculus, triple integral.

Q: Evaluate lim (tan-(t),e-2t,m²). t-1

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