Paint and FramingPro Problems > Math > Calculus > Differential > Max and Min
Paint and Framing
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Farmer Jones has 3000 feet of fencing material. He wants to use this fencing material to create two rectangular pig pens that share a common side, and such that one of the pens is twice the area as the other. He wants to maximize his area. What dimensions should he use for the two pig pens?
h(t) = 150 + 400t - 16.1t2
What is the maximum height the rocket attains before it begins to fall to the earth?
A quadratic function has a maximum at (1,5,2.5), and crosses the y-axis at y = -2. Find the function.
1 cubic foot of gold is melted down and molded into a cylinder. If the cylinder is to have the minimum possible surface area, what will the cylinder’s radius be?
x and y add to 12. Find x so that the product xy2 is maximized on the interval 0 < x < 12
A can is required to have a volume of 150p cubic centimeters. The cost of producing the top and bottom is $0.001 per square cm, and the cost of producing the side is $0.0008 per square cm. What will be the radius of the can which meets the volume criteria, but costs the least to produce? What will be the price of producing this can?