(1) find the rate of change of the function f(x) = x+2/1-8x with respect to x when x=1. (2) the number of units Q of a particular commodity that will be produced with K thousand dollars of capital expenditure is modeled by Q(K) = 500 K2/3. suppose that capital expenditure varies with time in such a way that t months from now there will be K(t) thousand dollars of capital expenditure, where K(t) thousand dollars of capital expenditure, were K(t) = 2t^4 + 3t + 149/t+2 (a) what will be the capital expenditure 3 months from Now? how many units will be produced at this time? (b) at what rate will production be changing with respect to time 5 months from now? will production be increasing or decreasing at this time?
(1) find the rate of change of the function f(x) = x+2/1-8x with respect to x when x=1.
(2) the number of units Q of a particular commodity that will be produced with K thousand dollars of capital expenditure is modeled by
Q(K) = 500 K2/3.
suppose that capital expenditure varies with time in such a way that t months from now there will be K(t) thousand dollars of capital expenditure, where K(t) thousand dollars of capital expenditure, were K(t) = 2t^4 + 3t + 149/t+2
(a) what will be the capital expenditure 3 months from Now? how many units will be produced at this time?
(b) at what rate will production be changing with respect to time 5 months from now? will production be increasing or decreasing at this time?
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