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Math · Calculus
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After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked, its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released. s(t)16t 60t3 b. How long is it in the air? a. The cork will go feet. (Round to the nearest whole number as needed.)

For the cost and price functions below, find a) the number, q, of units that produces maximum profit; b) the price, p, per unit that produces maximum profit; and c) the maximum profit, P. C(g)-80+16q, p 64-2q a) The number, q, of units that produces maximum profit is q

Find the x-value of all points where the function below has any relative extrema. Find the value(s) of any relative extrema. G(x) 8x +11x811 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function has a relative minimum at the point(s) O B. The function has no relative minimum. (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)

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