(Calculus required) (a) Show that if f = f(x) is twice differentiable, then the function
Chapter 8, Problem 19(choose chapter or problem)
(Calculus required) (a) Show that if f = f(x) is twice differentiable, then the function D:C2(, )F (, ) defined by D(f) = f (x) is a linear transformation. (b) Find a basis for the kernel of D. (c) Show that the set of functions satisfying the equation D(f) = f(x) is a two-dimensional subspace of C2(, ), and find a basis for this subspace. 20.
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