APPLIED CALCULUS-WILEYPLUS
APPLIED CALCULUS-WILEYPLUS
6th Edition
ISBN: 9781119267874
Author: Hughes-Hallett
Publisher: WILEY
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Chapter 7.2, Problem 11P
To determine

(a)

To graph:

The density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph.

To determine

(b)

To graph:

The cumulative density function p(t), where t is the number of minutes that the bus is late and shade the region between t=2 and t=4 minutes under the graph and comment about inflection point.

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4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown in the table. For each problem, approximate the distance the car traveled (in miles) using the given method, on the provided interval, and with the given number of rectangles or trapezoids, n. Time (min) 0 6 12 18|24|30|36|42|48|54|60 Speed (mph) 0 10 20 40 60 50 40 30 40 40 65 a.) Left Rectangles, [0, 30] n=5 b.) Right Rectangles, [24, 42] n=3 c.) Midpoint Rectangles, [24, 60] n=3 d.) Trapezoids, [0, 24] n=4

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