PLEASE ANSWER ASAP! 20 POINTS!
1. A box without a top is to be made from a rectangular piece of cardboard, with dimensions 3 in. by 7 in., by cutting out square corners with side length x and folding up the sides. (a) Write an equation for the volume V of the box in terms of x. (b) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.