The figure shows a grapefruit half. The radius to the outsideof the rind is 5 cm. The radius to the inside of the rind is 4 cm. The edible part ofthe grapefruit is divided into 12 equal sections. Find the volume of the half grapefruit and the volume of one ediblesection. Give your answers in terms of .

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.