Use the Convolution Theorem and this example to evaluate the given Laplace transform. Do not evaluate the integral before transforming. (Write your answer as a function of s. L{1³}

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A: Please see the attachment

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A: Given: y=x1-x2 To find: The first four terms of Maclaurin series.

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Q: (2-x²) y" + 2xy' - 2y = 0 olution to

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Q: 2x cos. X 17) lim --

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Q: use the Laplace transform to solve the differential equation y"(t) + 4y(t) = h(t) with y(0) = 2 and…

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Q: how that Q CQ(2^(¹/4), i) is normal. Again, what is conclusion?

A: We have given that  Q is subset of Q(2^(1/4),i) is normal so it is about conclusion.

Q: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t²-72t + 8…

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Q: PROVE IT Given any real n x n matrix A, if A is invertible, then there is an orthogonal matrix Q…

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A: # As per the guidelines we are entitled to solve one question at a time,  please resubmit the other…

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Q: 3. Let V be the set of all ordered triple in R³, and F, the set of real numbers, where the…

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Q: Show that the limit of a convergent sequence in a metric space is unique.

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Q: - Find the solution of the differential equation 2x²5 dy dx = 3xy + y². which satisfy an initial…

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Q: Evaluate the following integral using spherical coordinates: Z 1 0 Z p1 −x2 0 Z p2 −x2 −y2 px2+y2 z…

A: Consider the given integral, ∫01∫01-x2∫x2+y22-x2-y2z2dzdydx now,change the rectangular coordinates…

Q: (et (6,*) be agroup Then the function * P₁: (6₁)→→→(6₁) which defined by:- fa (x) = a*X VaXeG is…

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Q: 01: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t²-72t…

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Q: i) ii) QUESTION 3 F&N Sdn. Bhd. is developing a new soft drink. The cost to produce a batch of the…

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Q: 8) lim- x+1 2x²+2x+1

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Q: Let F be a field of characteristic p > 0. Let K be the quotient field of the polynomial ring F[r].…

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Q: İkiye bölme metodunu kullanarak [0, π] aralığı üzerinde f(x) = x − cos(x) için p3'ü bulunuz. Use the…

A: If f(a)f(b)≤0 then one root of f(x)=0 lies between a and b. Using Bisection method, in each step…

Q: Consider the multivariate linear model that we have discussed. That is, E(X) = BW and V [vec (X)] =…

A: Consider taking a regression equation in the form of  y = [ X1 X2 ] [β1 β2] + ε = X1β1 + X2β2 + ε.…

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Q: 3) It has been reported that men are more likely than women to participate in online auctions. A…

A: Let X: A person who participates in online auctionwhen X=0, person participates and when X=1, person…

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Q: 2. Given that a10 = 78 and a25 = 198 are terms of an arithmetic sequence, find an. 3. 6, 10, 16,…

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Q: Find the root of equation  X^3-x^2+2sinx=0 By using N-R method.

A: Newton Raphson Method xn+1=xn-f(xn)f'(xn)

Q: (a) If T is a tree with at least 2 vertices, show that x(T) = 2.

A: The given solution is only for part (a) of the question, please resubmit rest of the parts as…

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A: The solution is given as

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Q: Find a root of an equation Bellow by using Bisection method Where, & < 0.003, on the interval [3, 4]

A: Given function is f(x)=e-x3.2sin(x)-0.5cos(x) and interval is [3,4] Iteration 1: f(3)=0.0471&gt;0…

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Q: 6. show that the complex Fourier series of the function; f.(t) = t. ostsil is : jant f (t)... + + +…

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Q: Write the sum of the two terms T24,5 + T24,6 in a single term.

A: This question from pascals triangle. Lets solve the question