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To make a conjecture about the tangent lines and the graph with the proof of the conjecture.
Conjecture consider the functions f(x) = ½ x2 and g(x) = 1/16 x4 - ½ x2 on the domain [0,4].
Make a conjecture about the relationship between tangent lines to the graphs of two functions at the value of x at which the vertical distance between the functions is greatest, and prove your conjecture.
An apartment complex can rent all 150 of its one-bedroom apartments at a monthly rate of $400. For each $10 increase in rent, 3 additional apartments are left unoccupied. At what monthly rate should each apartment be rented in order to maximize th..
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what is the maximum revenue?
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The total reserves of a non-renewable resource are 400 million tons. Annual consumption, currently 25 million tons per year, is expected to rise by 1% each year. After how many years will the reserves be exhausted?
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