y=x5, mn=-1/80

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A: We can solve this as follows:

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Q: 1. Simplify the following: a) b) 8 45x X 3 15y 20y 18x 2 (x² − 9) 5 2 x+5x +6

A: Recall: a2-b2=(a+b)(a-b)

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A: I am attaching image so that you understand each and every step.

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Q: 5 (x²-4)

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A: since you have posted multiple question i can do first question as per our company guidelines please…

Q: 0 A = 2 -3 -1 B = -1 2 -2 −1 3 0 ³.0 - [ C 1 3 4 Use the above matrices to compute the following…

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A: Given Problem:- xdy+ydx=0 Find General equation  of given differential equation

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Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: Solve x (az + √2) dx y (az + √2) sin (ay²) dy + (az − √2) dz = 0 4√/2ln |az + √2 = C 4√/2ln|az +…

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Q: A. Find the general solution of y" = 12x². dy B. Solve for y F dx - 4 x²-1

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Q: Below is the function f(x)., 17+ 6 5 4 3 2 7 -7 -6 -5 -4 -3/-2 -7 -7 -2 -3 -4 -6 71 1 2 3 4 5 6 7…

A: Please see the below picture for detailed solution.

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Q: d) f(a) = (2a-1)² 2a + 5a

A: Solution ) f (a) = ( 2a - 1 )2/2a  + 5a  We know that  ( a - b )2 = a2 - 2ab + b2 f(a) = (4a2 - 4a +…

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Q: 14-Consider the Lie nard equation - (u-x²)x + x = 0. The Jacobian matrix for the linearized system…

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