x+ 2 (i) Find the rate of change of the function f(x) with respect to x when x = 1. 1 — 8х (ii) The number of units Q of a particular commodity that will be produced with K 2 thousand dollars of capital expenditure is modeled by Q(K) = 500 K3. 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 2t* + 3t + 149 K(t) 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?
x+ 2 (i) Find the rate of change of the function f(x) with respect to x when x = 1. 1 — 8х (ii) The number of units Q of a particular commodity that will be produced with K 2 thousand dollars of capital expenditure is modeled by Q(K) = 500 K3. 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 2t* + 3t + 149 K(t) 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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:x+ 2
(i) Find the rate of change of the function f(x)
with respect to x when x =
1.
1 — 8х
(ii) The number of units Q of a particular commodity that will be produced with K
2
thousand dollars of capital expenditure is modeled by Q(K) = 500 K3.
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
2t* + 3t + 149
K(t)
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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