Nu is designing a rectangular sandbox. the bottom is 16 square feet. which dimensions require the least amount of material for the sides of the sandbox.

Suppose that f(0) = −3 and f '(x) ≤ 8 for all values of x. how large can f(4) possibly be? solution we are given that f is differentiable (and therefore continuous) everywhere. in particular, we can apply the mean value theorem on the interval [0, 4] . there exists a number c such that

When ∆rst is translated 4 units down, what are the apparent coordinates of t’? give 15 points

Rectangle pqrs has length a and width 4b. the x-axis bisects ps and qr what are the coordinates of the vertices