Mr. Howell spends his day as follows: sleep- ing - 7.5 hr.; working - 9 hr.; eating -
2 hr.; home-related chores -- 2.5 hr.; leisure activities — 2 hr.; and Bible study and devotions - 1 hr. What percent of his time does
he spend on each of these activities? Find
the percent to the nearest whole percent.
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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.