Aball is thrown into the air from a height of 4 feet at a time t = 0. the function that models this situation is ℎ() = −8(squared) + 32 + 8, where t is measured in seconds and h is the height in feet. a. what is the maximum height of the ball? b. what domain makes sense in the context of the problem?

Need solving this second acceleration problem.

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.

Aculture started with 4,000 bacteria. after 5 hours, it grew to 5,200 bacteria. predict how many bacteria will be present after 19 hours. round your answer to the nearest whole number.