For the function f(x)=x-1-x2, determine if f'' is increasing or decreasing at x=2 and determine concavity at x=2
Find the distance from the origin to the point on the line y=-2x+5 that is closest to the origin.
Suppose you need to build a box with no top from a square sheet of metal by cutting squares of equal size out of each corner and folding up the flaps to form the four sides of the box. Find the maximum possible volume in cubic inches of such a box if the square sheet of metal is 110 inches on each side.