The bathysphere was an early version of a submarine, invented in the 1930s. The inside
diameter of the bathysphere was 56 inches, and the steel used to make the sphere was 1.5
inches thick. It had three 10-inch diameter windows. Estimate the volume of steel used to
make the bathysphere to the nearest whole number.
It took about
in. of steel to make the bathysphere.

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.