Please help me with these three!

Calculus Apo - Exam Preparation Questions 52. Multiple Choice What is the maximum area of a right triangle with hypotenuse 12? (A) 18 (B) 24 (C) 36 (D) 48 53. Free Response A right cone has a slant height of 6, as shown in the figure. (a) Write the volume V of 6 the cone as a function h' of one variable, r. The formula for the volume of a cone is V = -mr h. (b) What are the dimensions that maximize the volume of the cone? 54. Free Response A rectangle is bounded by the x-axis and the graph of y = 25 - x2. (a) What are the dimensions of the rectangle so that its area is a maximum? Justify your answer. (b) What are the dimensions of the rectangle so that its perimeter is a maximum? Justify your