1)A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the baseball in meters t seconds after it is hit is given by the quadratic functionh(t)=4.9t2+29.4t+1. How long does it take for the baseball to reach its maximum height? What is the maximum height obtained by the baseball?

2)Farmer Ed has400 meters of fencing, and wants to enclose a rectangular plot that borders on a river.If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area.What is the largest area that can be enclosed?

3)A farmer has1,944 feet of fencing available to enclose a rectangular area bordering a river. No fencing is required along the river. Let x represent the length of the side of the rectangular enclosure that is perpendicular to the river.

a. function, A(x), that describes the total area of the rectangular enclosure as a function of x, where x is the length of the rectangular enclosure that is perpendicular to the river.

4)Amy, the owner of Amy's Pottery, can produce china pitchers at a cost of$5 each.She estimates the price function to be p=225x, where p is the price at which exactly x pitchers will be sold per week. Find the number of pitchers that she should produce and the price that she should charge in order to maximize profit. Also, find the maximum profit.