[NOTE: PLEASE WRITE THE ANSWERS CLEARLY ESPECIALLY IF YOU'RE GOING TO WRITE HANDWRITING]

Directions. Read the problem carefully and then answer the given questions. PROBLEM 1. A rectangular animal enclosure is to be constructed having one side along an existing long wall and the other three sides fenced. There is a 100 meter of fence available. 1. If the length and the width of the enclosure are x and 3! respectively, dene the formula for the Area of the enclosure in terms of y 2. What is the largest possible area for the enclosure? ACTIVITIES Directions. Read each of the problem carefully and then solve following the steps discussed in the module. 1. A fruit cocktail can is to be made with 50 square inches of tin. What are the dimensions of the can with greatest volume? 2. Right triangle ABC with hypotenuse passing through the point [2. 5) is placed in the rst quadrant with its legs on the x and y axes. What are the dimensions and area of the smallest such triangle? 3. The sum of two positive numbers is 60. How can we choose them so as to maximize their product? NOW IT'S YOUR TURN I Find the critical points of the following functions : 1)f(x)=_3x'/3+x 3)f(x)=~10+x3-xx 2)f(x)=2x48x2 4)f(x)=4+3x23x