124quiz7solutions - Math 124 Quiz 7 Nov. 17, 2006 SOLUTIONS...

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SOLUTIONS 1) A bicyclist is traveling on a straight road. The following table gives the velocity of the biker at various time values: (a) Calculate the left-hand Riemann sum using n = 6. (b) Calculate the right-hand Riemann sum using n = 6. (c) In practical terms, what do the above quantities represent, approximately? Solutions: (a) The left-hand Riemann sum is 4(4 + 5 + 10 + 14 + 11 + 7) = 204 (b) The right-hand Riemann sum is 4(5 + 10 + 14 + 11 + 7 + 4) = 204 (c) The above quantities are approximately the total distance traveled by the biker over the entire 24 minute period. 2) Let g ( x ) = 2 x - 1. In the following questions, determine exact answers. (a) Find Z 6 3 g ( x ) dx . (b) Find the average value of g ( x ) over the interval [3 , 6]. Solutions: (a) The area underneath the function g ( x ) from x = 3 to x = 6 consists of a triangular region with height 6 and base 3, and a rectangular region with height 5 and length 3. The total area is 1 2 (3)(6) + 5(3) = 9 + 15 =
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This note was uploaded on 06/16/2008 for the course MATH 124 taught by Professor Kennedy during the Spring '08 term at University of Arizona- Tucson.

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124quiz7solutions - Math 124 Quiz 7 Nov. 17, 2006 SOLUTIONS...

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