F(s) = s+1 2 S² - 2s+2

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Q: we the initial value problem y" - 2y + 5y = 0, y(0) = 0, y'(0) = 2.

A: Initial value problem

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Q: Use the Laplace transform to solve the given initial-value problem. [t, 0≤t<1 t≥ 1 y' + 6y = f(t),…

A: We have to Use the Laplace transform to solve the given initial-value problem.We use

Q: 5) f(x) = 5x3+33x² + 31x - 69 80+y +++ 40+ -40 5 -80 A) f(x) = (x + 3) (5x + 23)(x - 1) C)…

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A: By Bartleby guidline I am solving only first question.

Q: Find the change of basis matrix [B] & C° ·={[4]·[4]} = {[1]·D]} C 4 B

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Q: logarithmic functions 1. How are the functions y = 10' and y = log(x) related? the invase of each…

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A: The region shown in the figure.

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A: Group isomorphism

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Q: find the monthly mortgage loan payment for a $174,000 loan at 2.2% for 30 years.

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Q: 4. Determine the inverse L a) F(s) = 4 (s− 3)² +9

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Q: If ||u||²+||v||²=||u+v||², then u and v are orthogonal.

A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: Let a : V → W be a linear map and V 2-dimensional, W 3-dimensional over a field K. If the image of a…

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Q: 7. Observer Design Consider the system represented in state variable form x = Ax + Bu y = Cx + Du 4…

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Q: 1. Find the curl of the following vector fields: (a) F = cos(e)i + √y³ +y6 + y²j+z¹+tan² z k. (b)…

A: As per Q&amp;A guidelines we solve only part (b) and you can reposted next question seperately.

Q: Determine the solution for each disassembly system. x-y>6 y<-2x+3

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Q: (a) T (b) T H-E Z x+2y+3z 2y-3x+z X 3-0 y Z ] 7x+2y+z 3x - 11y+ 2z

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Q: Solve the equation subject to the given conditions. d'y dy dx dx² -6y=4, y(0)=3, y'(0)=2 -

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Q: Six numbers are chosen at random from the whole numbers between 1 and 17​, ​inclusive, without…

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Q: Min Z = 12X1 + 18X2 + 8X3  5X1 + 8X2 +9X2 >= 18  9X1 + 15X2 + 12X3 >= 36  10X1 + 15X2 + 12X3 >= 45…

A: Note:  In the first constrain  is given which is corrected to

Q: Find the first four nonzero terms of the Maclaurin series for the given function b. Write the power…

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Q: Recall that C[0, 1] is the vector space of continuous real-valued functions on the interval [0, 1].…

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Q: Write the vector v = B - 3 8 {[][]}· 8 -2 as a coordinate vector with respect to the basis

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Q: Which of the following equations can only be solved using parameter variation method? ay +9y sin…

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Q: 4. Let f R³ → R be defined by f(x, y, z) = x³y³ + x¹z¹ — 100xyz - 1 6 8 4 Show that the zero set…

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Q: Set Pegion up in 2 2 the indegual 929 -√x²+y²+z² dv over the J. the where 2 ≤ √ 4-3²²-4² SE 1⁰k…

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Q: Use the elimination method to find a general solution for the given linear system, where…

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