2, i, Find out the roots of the following by completing the square. 5x^2-2x-4-0 ii, Calculate the volume and surface area of a solid cylinder 1.5 m diameter and 2.5 m tall.

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A: Given,                F(s)=3-5ss2+4s+5

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A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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A: Given- Let ft = 4 + 3t, 0 &lt; t ≤ 5 and let the half-range sine series representation of its odd…

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Q: 3. Find the first 3 terms of the Maclaurin Series for f(x) = sin²x. %3D

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A: We will use relation between cartesian and cylindrical co ordinate system

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A: Given: Prove that if n is odd, then n = 4k + 1 or n = 4k + 3 for someinteger k.

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Q: Exercise 14.4.4. Let X = {1,2, ..., 10}, let A = {2, 5, 7, 8}, and let o e Sx be the cycle o =…

A: The Given set is X={1,2,...,10} and A={2,5,7,8}. And, given permutation is σ=(2 5 7 8).  Based on…

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A: To find the volume if the area enclosed by the below curves is rotated about y = -2.

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Q: QUESTION 25 Which one of these represents the first order partial derivatives of a multivariable…

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Q: 1. List all the elements of the cyclic subgroup of GL2(R) generated by : A. {, ) B. {[ 6 3 C. D. 2.…

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A: Solution

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Q: Find the solution. y' = y - xy³ e-2x A e2=x²(y²+c) B e2Y =x²(y²+c) (c) edx =y²(x²+c) (D D e=y²(x²+c)

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Q: 8s2 + 12 8. F(s) = (s – 2)(s – 4)4

A: As per bartleby guidelines we are supported to answer only first question when two or more are…

Q: Find the solution. (x+e") dy – dx=0 A y=ce' +xeY B) x=ce' + ye* x=ce" + ye" D y=ce*+ ye

A: As per our guideline we are supposed to answer only first asked question.Kindly repost other…

Q: Evaluate the integral by changing to cylindrical coordina xz dz dx dy -2J-/4-y² x+y²

A: Introduction:   Let f(x,y,z) be a three-variable continuous function defined over a solid Q. The…

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Q: 1-Let B be the set of all infinite sequences over {0, 1}. Is this set countable or not, prove it?

A: Please post the multiple parts separately.Here I answered the 1st question as per our policy.

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Q: 9. True or False? The interval of convergence is the same as the domain of the power series. 10.…

A: We need to answer 9th and 10th Questions using basic knowledge of convergence of power series.

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Q: Find the inverse of laplace, f(t) if: 2s2 + 8 3. F(s) : ș3 – 7s2 + 14s - 8

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Q: (1) Show that planes perpendicular to the r-axis have equations of the form r= a sec 0 in…

A: We will have to use transformation from rectangular coordinates to cylindrical coordinates in all…

Q: Proofs: Construct proofs to show that the following symbolic arguments are valid.  Commas mark the…

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Q: Extra Credit. 13. Evaluate dx 1+x

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