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Suppose the economy is now ‘open’ and thus has an external demand (e.g. from the government, exports, etc.) of the dollar amounts for each respective industry. In the latest budget
Find and classify the equilibrium solutions of the subsequent differential equation. y' = y 2 - y - 6 Solution The equilibrium solutions are to such differential equati
The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find out the width of the rectangle. Let l = the length of the rectangle and let
cos(x)y''+sin(x)y=2cos^3(x)sin(x)-1
Not understanding the concept of curves
Example : Determine the Taylor series for f(x) = e x about x=0. Solution It is probably one of the easiest functions to get the Taylor series for. We just require recallin
use the expansion of (1-x)^7 to find the value of 1.998^7 correct to five significant figures
x=±4, if -2 = y =0 x=±2, if -2 = y = 0
Definition 1: Given the function f (x ) then 1. f ( x ) is concave up in an interval I if all tangents to the curve on I are below the graph of f ( x ) . 2. f ( x ) is conca
Marginal cost & cost function The cost to produce an additional item is called the marginal cost and as we've illustrated in the above example the marginal cost is approxima
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