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Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eª.

A: Here we solve the differential equation using variation of parameter.

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Q: 2-Show that the following polynomials from a basis for P2. 1- 3x + 2x2,1 + x + 4x²,1 – 7x

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Q: U he sinylexe meliad to slue the pro subjeet to てx+メ 2 x, + X2 < 12 Xi + Sx2< 12 XI,X2 ZO

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Q: 1+1

A: Given,              1+1

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Q: 37) Website popularity ratings are often determined using models that incorporate the number of…

A: Given , P(x) = log(x-4)Where P(x) is the website's popularity rating.and x is the number of visits…

Q: 1. Show that if f is a bijection from a set X onto a set Y then f is a bijection from Y onto X.

A: Please post the multiple questions separately. Here I answered question (1) only as per our policy.

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Q: why ピs{oッ| is Cupve?

A: Solution

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Q: The figure shows the region of integration for the integral. r49 (7 (7-y f(x, y, z) dz dy dx Rewrite…

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Q: 00 1. Find the interval of convergence of 2 n(n + 1)(x – 2)" n=0

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Q: 4. Let R be the relation in the positive integers

A: 4. Given, R be the relation in the  positive integers ℕ defined by                        R=x, y: x,…