Prove that the Laplace Transform of ´cos(bt) is S-a (s-a)° +b² Please show your solution clearly.

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A: To find- Find a basis for the subspace of ℝ4 that is spanned by the vectors v1 = 1, 1, 1, 1, v2 = 2,...

Q: Problem 5.1. Prove 1+ ... +n = }n(n+ 1), that is, Ei = }n(n+1), for all natural i=1 numbers n by PMI...

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Q: Mike Barry is the supervisor of Accounting Services, which provides services for downtown Colleges. ...

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Q: Let V; = {x € R | -÷ <x <: for each positive integer i. ÚV; = ? а. %3D i=1 4 b. nV; = ? i=1 c. Are V...

A: Since you have asked multipart question, we can solve first three sub-parts for you. If you want oth...

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A: Given Paula spent 3/8 of her allowance on clothes and 1/6 on entertainment. We have to find what fra...

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Q: P(r) = 3x – 3r² + 2xr³. Consider the polynomial . Determine the value of P'(9).

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Q: -2 + (2?)² – [2 – (2 × 2)]

A: As given by the question There are given that the expression: -2+222-2-2×2 Now, According to the BOD...

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Q: 1 Let f: [0, co) →R be a differentiable function. (a) if f is order exponential, prove that f is als...

A: Given- Let f : [0, ∞) → ℝ be a differentiable function. To find- If f' is order exponential, prove ...

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Q: 8. Is Zg isomorphic to D4? What about Z4 and D4? Can you find a subgroup of D4 isomorphic to Z4?

A: Now we have to answer the above question .

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Q: Are the following functions Riemann Integrable to their corresponding in- tervals? Explain your answ...

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Q: Given : (e* + In y + 2)dx + Š + In x + sin y )dy = 0 Find the general solution for this differential...

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Q: Note: Please type your answer. The head committee of s.t.a.t finance group is composed of 10 people...

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A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: Lemma 4.3 Assume • T(0) = Idx; • T(t+ s) = T(t)T(s) (t, s > 0); • V x € X : x+T(t)x is continuous in...

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Q: Task 24 Proof the Poincaré-inequality in the n-dimensional case.

A: I have solved the abive question below please do upvote if you like the solution thank you

Q: 2. Let X be the number of boys in a four-child family. The probability distribution was presented be...

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Q: Heather rides a motorized bike to work.  The bike gets about 100 miles per gallon and the tank holds...

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Q: The blue dot is at what value on the number line? ++ 8 12

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Q: 3. Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with t...

A: From the sine law, Here,, ,  are the side of the triangle and , , are the angles respectively of th...

Q: d²F – AF = 0, dx2 slove . F(0) = 0, F(t) = 0 · : heR.

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Q: Given a matrix A with eigenvalues λ1,···,λn, calculate eigenvalues of the following matrices (show t...

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Q: the equation of the circle having the points (2,10) and (-8,-14) the ends of its diameter.

A: As the equation of circle having (h, k) and radius r is given by (x-h)2 + (y-k)2 = r2

Q: -2 + 2i -6 – 10i By performing the operation we obtain the complex number x + yi, where the value of...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

A: Given differential equation is exactly differential equation. 

Q: To find a value of x that will make the following function true using Fixed-Point Iteration, what eq...

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Q: Using Fixed-Point Iteration with an initial value of one, find a value of x that will make the follo...

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Q: Solve the following initial value problem and present its particular solution: 2. y" + y' – 2y = 0, ...

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