(i) Find the rate of change of the function f(x) = (x + 2)/( 1 −...

(i) Find the rate of change of the function f(x) = (x + 2)/( 1 − 8x) with respect to x when x = 1. (ii) 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 K ^(2/3). 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) = (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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Colby Messinger answered 1 month ago

Let f(x,y) = 3x^2 + 6xy a) find the rate of change of f at the...

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(i) Find the rate of change of the function f(x) = (x + 2)/( 1 −...

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