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# MAT284-2007Fall - q 2(x 2 1)3(5x 6)7 8 Find the derivative...

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MAT 284 Final fall 2007 [Name: 1. For f(q) = q/5 and g(q) = q; 7 find f 0 g(q) and go f(q), write both answers in slope-intercept form for linear functions (i.e. mq + b). 2. Find the equilibrium point when supply is p = q2 + 5q and demand is p = -2q + 10. 3. Write as a single logarithm 3In(x) + ! In(x 4 + 1).

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4. Find the limit lim 6 2X2 3' show your work. X-+OO 1 - 2 x - x 2 F · d h l' . l' x + 3x + 6 . d' . 5. In t e ImIt 1m ( ) ,In Icate your reasonIng. x-+-2+ 100 x + 2 2 6. Calculate the derivative of f(x) = x - 3x by using the definition. 3 7. Find the equation of the line tangent to the graph of p = --1 when q

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Unformatted text preview: q+ 2 (x 2 + 1)3(5x + 6)7 8. Find the derivative of y = 7 do not simplify. 6x+ 9. If the consumption of a country is C = 2 + I -19]1/3 find the marginal propensity to save when I 27. -x 10. Find y so that y" = 2 and y(O) 1, y'(O) = 1 3 11. Find where the function is (a) increasing/decreasing (b) relative extrema (c) concave up/down (d) inflections (e) draw a graph given all the information you found above. f(x) = x(x 3)2 + 2. 12. The demand function for a product is p = 300 q2. Find the level of production that maximizes revenue. (You must show the calculus work that leads to your answer) 4...
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