Compute the Inverse Laplace of the following Laplace Transforms. Show complete solution F(s) = 1- 35 + 8s + 23

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A: Carson packed his movies in a box that is in the shape of rectangular prism . The height of the box ...

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Q: 7(xe* +e*)sin(xe*)–14sin(x)dx

A: Evaluation of the indefinite integral

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A: Given: A mapping T:ℙ2→ℙ2 defined by, T(p)=p'+p and the mapping x^:ℙ2→ℙ3 defined by, x^(p)=xp. To det...

Q: -4 9 4. Figure out whether the matrix B = is diagonalizable or not (i.e. whether R? -4 8 admits a ba...

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Q: Below is a data set of n = 16 that expresses the overall miles per gallon (MPG) of family sedans:  ...

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Q: 1. Let Pn = {ao+ a1x + a2x² +...+ anx" | ao, a1, · · · an E R} Be the amount of allpolynomial of deg...

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Q: 11. Find the coordinates of the center of mass of the solid bounded by the paraboloid: z = 4 – x2 – ...

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Q: Q1: Solve using Laplace transform y + 4y = 8(t), y(0) = y (0) = 0

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Q: 1.T.2 Let V be the set of all twice-differentiable functions f : R → R satisfying f"(x) = f(x) – 5. ...

A: Let, f and g be two functions in V.  Then,        f"(x) = f(x) - 5       g"(x) = g(x) - 5.

Q: matrix is not easy to do with just row operations, because the

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Q: 1. f(x) = 2x² – 3x + 4 2. f(x) = e-2x sin 5x 3. f(x) = x cos7 x 4. f(x) = 5 sin 3x – 17e-2x cos 3x 5...

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Q: 5-12 Use cylindrical shells to find the volume of the solid gen- erated when the region enclosed by ...

A: To use the cylindrical shell method to find the volume of the solid generated when the below-bounded...

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A: True

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 4t - 8 L{f(t)} =

A: Given f(t) = 4t - 8

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 9t5

A: Here we using Laplace transformation formula .

Q: 1. Let Pn = {ao+ a1x + a2x² +...+ anx" | ao, a1, · · · an E R} Be the amount of allpolynomial of deg...

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Q: The Fibonaccis Sequence is defined so that F = F –1+ Fr-2. Given that F12 144 and F13 233, find F14,...

A: Given that  The Fibonaccis sequence is defined. 

Q: - Solve Homogeneous Ux =4 UxX,ucoit)=0 u(lo,t)=0 らoo(Xくら uC以io)-「。 X 5 <8 Tlo

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Q: Two spacecraft are following paths in space given by r = (sin(r), 1.12) and r2 = (cos(t), 1 – 1,1). ...

A: Given, r1 = sin(t), t, t2 and r2 = cos(t), 1-t , t3and T(x, y, z) = x2y(5-z).

Q: Which formula is not equivalent to the other two? 8 (-1)*-5 (-1)* -3 (a) Σ (b) E k+1 (c) (- 1)* k-5 ...

A: Here given finite series is (a)∑k=68-1k-5k-5b∑k=02-1kk+1c∑k=-5-3-1kk+6

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A: Given Radius of convergence of ∑cnxn   is R Thus,limn→∞cncn+1 = R

Q: 2. Hhe live in Passing through He oryun and haring * l as it's divecha vector intersects the line tE...

A: The line in ℝ3 passes through 0 , 0 , 0 and it's directional vector is 1u3. Thus , equation of line ...

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Q: 11. Solve the system using Gauss-Jordan Elimination, by hand. -x+ 2y - 3 3x - y-1 (6)

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A: The detailed solution of the problem follow the next steps.

Q: Suppose the desired output is 100,000 copies per day, and cycle time is 30seconds. assuming the busi...

A: The desired output is 100,000 copies per day, and cycle time is 30 seconds. Since the business opera...

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Q: Use the identity 1 Ey" to express the function as a geometric series in the 1- y n=0 indicated term....

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Q: Evaluate the following telescoping series or state whether the series diverges. 1 1 Σ (n+1)* 102. 13...

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Q: 1. Decide whether the folloring stabe ments ae false . Justify true or (a) YxeTR, ¥yeR, x²-y² z xy Q...

A: 1. a ∀ x ∈  R, ∀ x ∈  R, x2+y2 ≥ 2xy  TRUE. Because,  ∀ x ∈  R, and ∀ x ∈  R we have (x-y)2 ≥ 0. Now...

Q: Solve the system using the inverse method. 5x + 4y = 8 6x - 3y = 33

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A: Introduction: The formula for the union of two sets is given by, nA∩B=n(A)+n(B)-n(A∩B)

Q: (8) 5 2.

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Q: Find the Minimum Spanning Tree using Kruskal's algorithm. 6 1. 5. 2.

A: We will first arrange the distance between nodes in ascending order.

Q: To test the series for convergence, you can use the P-test. (You could also use the Integral Test, a...

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Q: a). Give the defineliwm of the met matan padud AR Suy Usc bouranswe h dankea the siza of Hhe resalti...

A: (a) to define the product of two matrices. As per policy only Question (a) is to be solved please re...

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Q: 15 Suppose f(x) = ". (a) The rectangles in the graph on the left illustrate a left endpoint Riemann ...

A: By Left Riemann sum area of region under graph of a function f(x) in the interval [a,b] with n sub i...