Let D2 be the operation of taking the second derivative. (a) Find the image of 2x3 + 3x2
Chapter 4, Problem 33(choose chapter or problem)
Let D2 be the operation of taking the second derivative. (a) Find the image of 2x3 + 3x2 - 5x + 4 under D2 Prove that D2 is a linear operator on P n Determine the kernel and range of D2 (b) Consider the transformation D2 + D + 3 of P n into itself. Find the image of x3 - 2x2 + 6x + 1 under this transformation. Prove that the transformation is linear. Determine the kernel and range of the transformation.
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