A rocket is fired upward from some initial distance above the ground. Its height (in feet), h , above the ground t seconds after it is fired is given by h ( t ) = − 16 t 2 + 80 t + 2016 What is the rocket's maximum height? feet How long does it take for the rocket to reach its maximum height? seconds After it is fired, the rocket reaches the ground at t= seconds

How many lines can be drawn through points j and k? 0 1 2 3

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.

Bob the builder is making 480kg of cement mix. this is made by cement, sand and gravel in the ratio 1: 3: 4