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quiz3_sol

# quiz3_sol - SOLUTIONS Math 118 39439 Quizz 3 October...

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Unformatted text preview: SOLUTIONS Math 118: 39439, Quizz 3, October, 23,Fall 2008, Name: : Discussion : PROBLEM 1 t 4 12t (4 pts) Consider g(t) = 4-t2 , g (t) = (4-t2 )3 , g (t) = (4-t2 )5 . Observe that g has domain: -2 < t < 2, with vertical asymptotes t = -2 and t = 2. each assertion, indicate if true or false: g is always increasing. TRUE, since g is always positive g is decreasing for t > 0.FALSE, since g is always positive t = 0 is an inection point. TRUE, since g (0) = 0, g < 0 for t < 0 and g > 0 for t > 0. (b) Based on the previous elements, indicate which of the following is the graph of g , drawing a circle around it. The left graph. For example, the other does not comply with the domain requirements. (a) For i. ii. iii. PROBLEM 2 (3 pts) A certain factory estimated a monthly prot function given by P (q) = q 2 - 4q (hundred of dollars), where q (thousand) is the number units produced. What level of production, q , would give the highest prot, knowing that this month production varies in the interval 0 up to 5, 000 units? Maximize P (q) in 0 q 5. P (q) = 2q - 4, C.N.: q = 2. P (0) = 0, P (2) = -4, P (5) = 5. Prot is maximum at level q = 5. +16 (3 pts) Consider the expression 8 363/6 . What is the simplication of the previous expression: 2 or 4? Justify. 2/3 3/4 PROBLEM 3 82/3 + 163/4 (23 )2/3 + (24 )3/4 22 + 23 12 = = = =2 3/6 2 )1/2 36 (6 6 6 End. ...
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