Determine how many times the innermost loop will be iterated when the algorithm segment is implemented and run. (assume that m and n are positive integers.) for j : = 1 to m for k : = 1 to n [statements in body of inner loop. none contain branching statements that lead outside the loop.] next k next j

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.