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Find f\'(a). f(x) = 3x2 - 5x + 4 f\'(a) = The number N of US cellular phone subs

ID: 3284919 • Letter: F

Question

Find f'(a). f(x) = 3x2 - 5x + 4 f'(a) = The number N of US cellular phone subscribers (in millions) is shown in the table. (Midyear estimates are given.) t 1996 1998 2000 2002 2004 2006 N 44 69 109 141 182 233 Fine the average rate of cell phone growth between the following years. In each case, induce the units. (Round your answers to one decimal place.) from 1998 to 2006 1 million phones/yr from 2000 to 2002 million phones/yr from 1998 to 2000 million phone/yr Estimate the instantaneous rate of growth in 2000 by taking the average of the two average rates of change in (ii) and (iii). what are its units? million phones/yr The quantity (in pounds) of a gourmet ground coffee that is sold by a coffee company at a price of rho dollars per pound is Q = f(p). What is the meaning of the derivative f'(4)? The supply of coffee needed to be sold to charge $4 per pound. The rate of change of the price per pound with respect to the quantity of coffee sold when the price is $4 per pound. The price of the coffee as a function of the supply. The rate of change of the quantity of coffee sold with respect to the price per pound when the price is $4 per pound. The rate of change of the price per pound with respect to the quantity of coffee sold. What are the units of f'(4)? Dollars/(pound/pound) pounds/dollar dollars pounds/(dollars/pound) pounds In general, will f'(4) f'(4) be positive or negative? positive negative The graph shows the influence of the temperature 7 on the maximum sustainable swimming speed S of Coho salmon. What is the meaning of the derivative S'(T) S'(T) is the rate of change of the temperature with respect to the temperature. S'(T) is the rate of change of the maximum sustainable speed of Coho salmon with respect to the speed of Coho salmon. S'(T) is the maximum sustainable speed of Coho salmon for a given temperature. S'(T) is the rate of change of the maximum sustainable speed of Coho salmon with respect to the temperature. S'(T) is the rate of change of the temperature with respect to the maximum sustainable speed of Coho salmon. Estimate the values S'(10) and S'(25). S'(10) (cm/s) degree C S'(25) (cm/s) degree C

Explanation / Answer

f(x)=3x2-5x+4

f'(x)=6x-5

f'(a)=6a-5

...the graph problem (a)S'(T) is the rate of change of maximum sustainable speed of coho salmon with respect to the temperature.

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