Unformatted text preview: 48  52, 54, 55. 4. Section 12.2, Pages 537  539 # 3, 4, 6, 9, 10, 13, 14  16, 22, 23, 29, 30, 35, 36, 39, 40, 41, 44, 45, 50, 52. 5. Section 12.3, Pages 543  544 # 1, 3, 4, 7, 8, 12, 16, 20  24. 6. Let a,b and c be constants and let f ( x ) = e ( a + b + c ) x . Find f ( x ) in two ways: (i) using the chain rule only and (ii) rewriting f ( x ) as a product of three exponentials and then using the chain rule and product rule together. Check that you do get the same result for both methods. 7. Let S represent the amount of an ordinary annuity (see Page 214 Equation (7)). Verify that dS dn = ( K + S )ln(1 + r ) where K = R r . 8. Let k and r be positive constants and assume a demand function of the form p r q = k where p represents the price per unit when q units are demanded. Verify that the (point) elasticity of demand is a constant. Notes: The Midterm Test is Saturday, October 24, 9am  11am. The room assignments are posted at the home page....
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 Spring '11
 Grinnell
 Math, Chain Rule, 175, Computer & Mathematical Sciences, relevant text readings, similar lecture notes

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