{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

124quiz7solutions

# 124quiz7solutions - Math 124 Quiz 7 Nov 17 2006 SOLUTIONS 1...

This preview shows pages 1–2. Sign up to view the full content.

Math 124 Quiz 7 Nov. 17, 2006 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 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 = 24 (b) We use the formula AV = 1 b - a b a g ( x ) dx for the average value. AV = 1 6 - 3 6 3 g ( x ) dx = 1 3 (24) = 8 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
3) Use the graph of the function f ( x ) below to determine the definite integrals below.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

124quiz7solutions - Math 124 Quiz 7 Nov 17 2006 SOLUTIONS 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online