Seven caterpillars were lined up in a row. Each caterpillar was 1 2 15 inches in length. How long was the row of caterpillars? Manuel solved the problem below. What was his error? 7 (1 2 15 ) 7 (1 + 2 15 ) 7 + 2 15 7 2 15

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.