A 150 cm length of wire is cut into two pieces. One of the pieces is bent to form a
square with side length s cm, and the other
piece is bent to form a rectangle with a side
length that is twice its width.
Find the value of s which minimizes the
sum of the areas enclosed by the square and
rectangle.

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.