1. Show the function T : R² → R³ given by T(x, y) = (x − y, 3x + 2y, 0) is linear. Find the matrix A of T so that T ([]) = ₁ [] A

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A: The given initial value problem,.We have to find the solution to the IVP.

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A: Convert the cartesian coordinates into spherical coordinates.

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Q: d) horizontal asymptote e) domain frange

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A: Consider the differential equation.To Find:differential equation using the Cauchy euler equation.

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Q: n=-2 n=1 1 1 n=-1 n=2 n=0 0 n=3

A: As per the students requirement I will solve the last part in details.