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# a6 - 48 52 54 55 4 Section 12.2 Pages 537 539 3 4 6 9 10 13...

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University of Toronto at Scarborough Department of Computer & Mathematical Sciences MATA32 Assignment 6 Fall 2009 Be prepared to ask questions and receive instruction about this assignment in the 6th tutorial, which takes place during the week of Thursday, October 22 - Wednesday, October 28. Remember: there is a quiz on assignment 5 in the 6th tutorial for all students. Quiz 6 is based on this assignment 6 (or can even contain questions from material pertaining to assignment 5), the relevant text readings for assignments 5 and 6, and similar lecture notes. Quiz 6 will be written by all students in the 7th tutorial, which takes place during the week of Thursday, October 29 - Wednesday, November 4 Study: Sections 12.1 - 12.3 for this assignment. Read ahead in sections 12.4 - 12.7 for upcoming lectures and future assignments. Problems: 1. Section 11.4, Page 515 # 74. 2. Section 11.5, Pages 521 - 523 # 54, 72, 83, 84. 3. Section 12.1, Page 533 # 3 - 8, 12, 13, 15 - 18, 20, 22, 26, 27, 29 - 32, 39, 40, 45, 46,
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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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