In an engineering class, students are challenged to design a container that prevents an egg from breaking when dropped from a height of 50 feet. The formula that models this is h(t)=-16ft^2+50

where h(t) is the final height, t is the time in seconds. It hits the ground when the final height is zero. How long does it for the egg to hit the ground. Round to the nearest hundredth.

When turned about its axis of rotation, which shape could have created this three-dimensional object?

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.

Select all expressions that are equivalent to 2(3x + 7y). question 1 options: 6x + 14y 6x + 7y 1(6x + 14y)