1) What is the largest possible area for a right triangle in which the sum of the lengths of the two shorter sides is 100 in.?
2) A baseball is thrown straight up, and its height as a function of time is given by the formula h = -16t2+ 32t (where h is in feet and r is in seconds).
(a) Find the height of the ball when t = 1 sec and when t = 3/2 sec.
(b) Find the maximum height of the ball and the time at which that height is attained.
(c) At what times is the height 7 ft?
3) Which point on the curve y = √(x -2) + 1 is closest to the point (4, 1)? What is this minimum distance?
4) Suppose that you have 1800 m of fencing with which to build three adjacent rectangular corals, as shown in the figure. Find the dimensions so that the total enclosed area is as large as possible.
Attachment:- figure.png