Find the rate of change of total profit, in dollars, with respect to time where R(x)=80x−0.5x2 and C(x)=40x+7, when x=22 and dxdt=30.

Q: Suppose that the demand for x units of a product is x = 9,000 – 90p where p dollars is the price per…

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Q: Find the instantaneous rate of change of the function at the specified value of x. f(x)=(x−3)/(x+5)…

A: Given data:     The given function is: f(x)=(x-3)/(x-5).   The expression for the rate change of the…

Q: The atmospheric temperature T (in degrees Celsius) at altitude h meters above a certain point on…

A: Explanation: Given that,  T=15-0.0065hh≤12,000m     Concept Used: Average Rate of Change-…

Q: The function f(x) = 1000 represents the rate of flow of money in dollars per year. Assume a 10-year…

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Q: The amount of money present in an investment account can be modeled by the function S(t) =…

A: Put t=10 find s(10) and find growth rate

Q: The number of bacteria in a culture is given by the function n(t)=920e0.4t◂=▸n⁡(t)=920⁢◂◽˙▸e0.4⁢t…

A: (a) The general equation for exponential growth is given by y=Aert, where A is the initial quantity…

Q: A deposit earns interest at a rate of r percent compounded continuously and doubles in value in 10…

A: Given that, after 10 years, the initial amount is doubles, when the rate of interest r is compounded…