HW_5_1

HW_5_1 - Student Name: Sections 5.1 (Due: Tuesday, 11/13)...

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Student Name: Sections 5.1 (Due: Tuesday, 11/13) Notice: NO CLASS ON MONDAY, 11/12 Description : This homework will help you understand the area under a curve as a limit of a sum of areas of thin rectangles. It is important to know how to approximate this area using the right hand, left hand and midpoint sums. Show all work to get full credit. 1) Do the following. (a) Estimate the area under the graph of f ( x ) = 7 + 4 x 2 from x = -1 to x = 2 using three rectangles and right end-points. R 3 = Improve your estimate by using six rectangles. R 6 = (b) Repeat part (a) using left endpoints. L 3 = L 6 = (c) Repeat part (a) using midpoints. M 3 = M 6 = 2) The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance, d that she traveled during these three seconds. t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 18.8 19.4 20 d (lower estimate) d (upper estimate) 3)
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This note was uploaded on 05/23/2011 for the course MAC 2311 taught by Professor Noohi during the Fall '08 term at FSU.

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HW_5_1 - Student Name: Sections 5.1 (Due: Tuesday, 11/13)...

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