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Optimization calculus.
A. Suppose the profit pattern for an office supply company that manufactures permanent markers is closely modeled by the function: P(x) = 8x - 0.001x2 - 5,000 , where the input is number of markers manufactured per month, and P is dollars per month. find the number of markers the company must sell in order to maximize their monthly profit?
B. Suppose a farmer wants to build a rectangular pen up against a fence. This means she only needs fencing for 3 sides of the pen instead of 4. If the farmer has 200 feet of fencing, what are the dimensions of the largest pen she can enclose?
C. Find the dimensions of the cylindrical water bottle with minimal surface area that can hold 16 cm3 of liquid.
SA= 2 π r2 + 2 π r h
V= π r2 h
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Project in Dynamical system and chaos - Choose a topic that you can explain by these materials - You can NOT copy the examples and proof you need to just take the idea of the examples and proof and then rewrite it by your way.
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question wheat production in a given year w depends on the average temperature t and the annual rainfall r. scientists
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If F(x) is an antiderivative of f(x) and G(x) is an antiderivative of g(x), then F(x)·G(x) is an antiderivative of f(x) · g(x).
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A rancher with 800 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
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This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.
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