Wksht2 - Math 16A Kouba Work sheet 2 1 .) Determine the...

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Unformatted text preview: Math 16A Kouba Work sheet 2 1 .) Determine the constants a (and b) so that each of the following funcfionsisconflnuousfora“vmuesofx. x2—7x+6 a) fin = X-6 , x 6 a , =6 aZX-a x>1 b) fa): , — 2 , X<1 a+x c) fa): a+1 , X<O ax3+3 , x20 3 , X31 d) fa): ax2+b ,1<x32 5 , X>2 ax-b , xs—t e) fa): 2x+3a+b p1<xs1 4 , X>1 2. An example of continuity as a measure of fairness—— A small city proposes the following tax scheme for its residents in order to upgrade public parks. The annual income and proposed amount of tax appear in the table below. :1. Sketch a graph of the amount of tax paid as a function of annual income x. b. In your opinion, is this tax scheme a fair one ? (Use the graph in part a.) Explain. Annual Income Tax $0 — $20,000 0.3% of income $20,001 — $40,000 the larger of $60 and 0.2% of income $40,001 — $60,000 a flat fee of $20 plus 0.18% of income $60,001 and higher the larger of $128 and 0.16% of income .0 ho mo :0 Mo we 18 mo 40 HZOoZm T805 qfi @V ...
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This note was uploaded on 04/07/2010 for the course CALC 1 taught by Professor Kooba during the Fall '08 term at UC Davis.

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Wksht2 - Math 16A Kouba Work sheet 2 1 .) Determine the...

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