Problem Solving
A lone rider sets off across the desert with two camels. He rides one and carries
goods on the pack camel. He stops at four oases. Leaving the last oasis, the camel
has 53 pounds of goods. The camel driver tells of his trip:
"I got rid of half my starting load at the first oasis. At the second I dropped off 40
pounds. At the next oasis I tripled the load. At the last oasis I dropped off 4
pounds of goods."
How many pounds did the pack camel have to start with?

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.