Let f be a C' function on the line, and let g(x) = S f(xy)y² dy. Prove that g is a C' function and establish a formula for g (x) in terms of f.

The function, f(x), in the graph below has f(1) = 1 and f'(1) = = 2. Which of the following are the coordinates of points A and B? A f(x) 1 1.1 Select one: A(1,1) and B(1.1, 1.2) A(1,2) and B(1.1, 1.21) A(1.2,1) and B(1, 2) A(1,1) and B(1.1, 1.21) A(2,1) and B(1.2, 1.1)

Compute the following values for the given function. (x, y) = 8xye(x² + y2) f(0, 0) f(0, 1) f(1, 1) f(-1, -1) =

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