Math 1271, Summer 2010, Worksheet 24.11. A rectangular storage container is to have a volume of 960 cubic meters. The base andtop of the container must be square. Material for the base and top costs $10 per squaremeter while material for the sides costs $18 per square meter. Find the length of one sideof the base and the height for the container that will minimize the cost of the material usedto make the container.2. A cylindrical can without a top is to be made to contain 288π ft3of liquid. Materialfor the bottom (no top) costs $16 per square foot and material for the sides costs $12 persquare foot. Find the dimensions that will minimize the cost of the metal to make the can.1Math 1271, Summer 2010, Worksheet 24.21. Use Newton’s Method to find one of the roots of the following equation. After you findone of the roots, factor the cubic and then use the quadratic formula to find the other tworoots.x3− 3x2− 10x + 15 = 02. Let v(t) = t2+ 4t, a = 1, b = 4, and n = 3. Find v(a +2k−12n(b − a)) for k = 1, 2,
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