Define the linear transformation 7 by T(x) = Ax. -1 -2 1 1 -4 -3 -1 -3 A = 1 2 -1 4 3 1 2 -1 (a) Find the kernel of T. (If there are an infinite r ker(7) = {

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A: 1) Given  f(x) = 2x - 3 g(x) = -4x2 + 9   f(x)*g(x)  = (2x - 3)*(-4x2 + 9)  = 2x*(-4x2 + 9) -3*(-4x2…

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Q: Q5A) Find volume of body from above Z=√√4-x² - y² and below Z = 1 using Triple integration.

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)]…

A: 1. f(1)=4 So, h[f(1)]=h[4]=-42+2=-14 So, h[f(1)]/7=-14/7=-2   2. h(3)=-32+2=-7 So, 2h(3)=-7×2=-14…

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