Use the Laplace transform to solve the following initial value problem: y" + 3y = 0 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for Y(s) and write the above answer in its partial fraction decomposition, Y(s) Y(s) = = Now by inverting the transform, find y(t) = + = A s+a y(0) = 1, y' (0) = 6 B + where a < b s+b

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A: We have given graph of the function

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A: Polynomial As per guidelines ,at a time only one question can be answered. Please repost for other…

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Q: 3) Which equation can be used to find A, the area of the parallelogram shown? 7 cm 10 cm A A = ¹ × 7…

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Q: 1. It is known that A = 10 1 1 0 1 -1 0 (a) -3 (b) 6 (c) None of the above values. -2 -1] 1 4 2 1 3…

A: A=10-2-111140121-1038

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A: We know that inverse of A=Adj(A)/det (A)

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A: f(x)=xx-5g(x)=5x

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Q: 4x+8 What is the product of 12x-40 A B (x + 2)(x-2) 6 (x-2) 6(x+2) 3x²-16x+20 6 KEPADA ?

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Q: Given that f(x) = 8x +3 and g(x) = 1-², calculate (a) f(g(0)) = (b) g(f(0)) =

A: Given that fx=8x+3, gx=-x2+1,and to find:  fg0

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Q: Prove that F(T), the collection of sets determined by a time of stop T, is a o- algebra.

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Q: (y ≥ 3x + 6 (x + y ≤ 4

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Q: nd the number of combinations (subsets) of 9 things taken 5 at a time.

A: The number of combinations of 9 things taken 5 at a time is : 9C5

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A: Here we have to find the probability.

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A: Given functions  f(x) = x2+x-2 g(x) = x+2

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Q: Find the 10th term of each geometric sequence. a9 = -5, r = -1/2 a11=-5, r = -1/2

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A: Suction: From the given graph take some points,

Q: Find adj(A), A(adj(A)) and its

A: Given: Let A=2-3140231-3

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A: According to question,Given Data,B = 65, -24xB = 35

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A: we will find the required.

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Q: Find the missing terms of each geometric sequence.(Hint: The geometric mean of the first and fifth…

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Q: The radical expression can be rewritten in the 11 7 x rational exponent form x where, xi a = =

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A: for arrnangements Prn=n!(n-r)!

Q: Determine the number of triangles (of any size) in the figure. The total number of triangles is

A: Solution will be given below