Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)
2nd Edition
ISBN: 9780137553457
Author: Raymond Greenwell, Nathan Ritchey
Publisher: PEARSON+
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Chapter 12.2, Problem 87E
To determine
a.
To find:
The probability
To determine
b.
To find:
The probability
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Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
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
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
Chapter 12 Solutions
Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)
Ch. 12.1 - YOUR TURN Write the elements belonging to the set...Ch. 12.1 - Prob. 2YTCh. 12.1 - Prob. 3YTCh. 12.1 - Prob. 4YTCh. 12.1 - Prob. 1ECh. 12.1 - Prob. 2ECh. 12.1 - In Exercises 1-6, write true or false for each...Ch. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.1 - Prob. 6E
Ch. 12.1 - Prob. 7ECh. 12.1 - Prob. 8ECh. 12.1 - Prob. 9ECh. 12.1 - Prob. 10ECh. 12.1 - Prob. 11ECh. 12.1 - Prob. 12ECh. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - Prob. 15ECh. 12.1 - Prob. 16ECh. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - Prob. 19ECh. 12.1 - Prob. 20ECh. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - Prob. 23ECh. 12.1 - Prob. 24ECh. 12.1 - Prob. 25ECh. 12.1 - Prob. 26ECh. 12.1 - Prob. 27ECh. 12.1 - Prob. 28ECh. 12.1 - Prob. 29ECh. 12.1 - Prob. 30ECh. 12.1 - Prob. 31ECh. 12.1 - Prob. 32ECh. 12.1 - Prob. 33ECh. 12.1 - Prob. 34ECh. 12.1 - Prob. 35ECh. 12.1 - Prob. 37ECh. 12.1 - Prob. 38ECh. 12.1 - Prob. 39ECh. 12.1 - Prob. 40ECh. 12.1 - Prob. 41ECh. 12.1 - Prob. 42ECh. 12.1 - Prob. 43ECh. 12.1 - Prob. 44ECh. 12.1 - Prob. 45ECh. 12.1 - Prob. 46ECh. 12.1 - What does the notation n(A) represent?Ch. 12.1 - Prob. 49ECh. 12.1 - Prob. 50ECh. 12.1 - Prob. 51ECh. 12.1 - Prob. 52ECh. 12.1 - Prob. 53ECh. 12.1 - Prob. 54ECh. 12.1 - Prob. 55ECh. 12.1 - Prob. 56ECh. 12.1 - Prob. 57ECh. 12.1 - Prob. 58ECh. 12.1 - Prob. 59ECh. 12.1 - Prob. 60ECh. 12.1 - Draw a Venn diagram and use the given information...Ch. 12.1 - Prob. 62ECh. 12.1 - Prob. 63ECh. 12.1 - Prob. 64ECh. 12.1 - Prob. 65ECh. 12.1 - Prob. 66ECh. 12.1 - Prob. 67ECh. 12.1 - Prob. 68ECh. 12.1 - Prob. 69ECh. 12.1 - Prob. 70ECh. 12.1 - Prob. 71ECh. 12.1 - Prob. 72ECh. 12.1 - Prob. 73ECh. 12.1 - Prob. 74ECh. 12.1 - Prob. 77ECh. 12.1 - Prob. 78ECh. 12.1 - Prob. 79ECh. 12.1 - Military The number of female military personal in...Ch. 12.1 - Chinese New Year A survey of people attending a...Ch. 12.1 - Prob. 86ECh. 12.1 - Prob. 87ECh. 12.1 - Prob. 88ECh. 12.1 - Prob. 89ECh. 12.1 - Prob. 90ECh. 12.1 - Prob. 91ECh. 12.1 - Prob. 92ECh. 12.1 - Prob. 93ECh. 12.2 - YOUR TURN 1 Two coins are tossed, and a head or a...Ch. 12.2 - Prob. 2YTCh. 12.2 - Prob. 3YTCh. 12.2 - Prob. 4YTCh. 12.2 - Prob. 5YTCh. 12.2 - Prob. 6YTCh. 12.2 - YOUR TURN 7 Find the probability that when two...Ch. 12.2 - Prob. 8YTCh. 12.2 - Prob. 9YTCh. 12.2 - Prob. 10YTCh. 12.2 - Prob. 1ECh. 12.2 - Prob. 2ECh. 12.2 - Write the sample space for the experiments in...Ch. 12.2 - Prob. 4ECh. 12.2 - Prob. 5ECh. 12.2 - Prob. 6ECh. 12.2 - Prob. 7ECh. 12.2 - Prob. 8ECh. 12.2 - For the experiments in Exercises 9-14, write out...Ch. 12.2 - Prob. 12ECh. 12.2 - For the experiments in Exercises 9-14,write out...Ch. 12.2 - Prob. 14ECh. 12.2 - Prob. 15ECh. 12.2 - Prob. 16ECh. 12.2 - Prob. 17ECh. 12.2 - Prob. 18ECh. 12.2 - Prob. 19ECh. 12.2 - Prob. 20ECh. 12.2 - Prob. 21ECh. 12.2 - Prob. 22ECh. 12.2 - Prob. 23ECh. 12.2 - Prob. 24ECh. 12.2 - Prob. 25ECh. 12.2 - Prob. 26ECh. 12.2 - Prob. 27ECh. 12.2 - Prob. 28ECh. 12.2 - Prob. 29ECh. 12.2 - Prob. 30ECh. 12.2 - Prob. 31ECh. 12.2 - Prob. 32ECh. 12.2 - Prob. 33ECh. 12.2 - Prob. 34ECh. 12.2 - Prob. 35ECh. 12.2 - Prob. 36ECh. 12.2 - EXERCISES Decide whether the events in Exercises...Ch. 12.2 - Prob. 38ECh. 12.2 - Prob. 39ECh. 12.2 - Prob. 40ECh. 12.2 - Prob. 41ECh. 12.2 - Prob. 42ECh. 12.2 - EXERCISES Two dice are rolled. Find the...Ch. 12.2 - Prob. 44ECh. 12.2 - Prob. 45ECh. 12.2 - Prob. 46ECh. 12.2 - Prob. 47ECh. 12.2 - Prob. 48ECh. 12.2 - Prob. 49ECh. 12.2 - The numbers 1, 2, 3, 4, and 5 are written on slips...Ch. 12.2 - Prob. 51ECh. 12.2 - Prob. 52ECh. 12.2 - Prob. 53ECh. 12.2 - Prob. 54ECh. 12.2 - Prob. 55ECh. 12.2 - Prob. 56ECh. 12.2 - Prob. 57ECh. 12.2 - Prob. 58ECh. 12.2 - EXERCISES Which of Exercises 5964are examples of...Ch. 12.2 - EXERCISES Which of Exercises 5964are examples of...Ch. 12.2 - Prob. 61ECh. 12.2 - Prob. 62ECh. 12.2 - Which of Exercises 59-64 are examples of empirical...Ch. 12.2 - Which of Exercises 59-64 are examples of empirical...Ch. 12.2 - Prob. 65ECh. 12.2 - Prob. 66ECh. 12.2 - Prob. 67ECh. 12.2 - Prob. 68ECh. 12.2 - Prob. 69ECh. 12.2 - Prob. 70ECh. 12.2 - Prob. 71ECh. 12.2 - Prob. 72ECh. 12.2 - Prob. 77ECh. 12.2 - Prob. 78ECh. 12.2 - Prob. 79ECh. 12.2 - Prob. 80ECh. 12.2 - The following description of the classic Linda...Ch. 12.2 - Prob. 82ECh. 12.2 - Prob. 83ECh. 12.2 - Prob. 84ECh. 12.2 - Body Types A study on body types gave the...Ch. 12.2 - Prob. 86ECh. 12.2 - Prob. 87ECh. 12.2 - Prob. 88ECh. 12.2 - Prob. 89ECh. 12.2 - Doctor VisitThe probability that a visit to a...Ch. 12.2 - Shoulder InjuriesAmong a large group of patients...Ch. 12.2 - Prob. 92ECh. 12.2 - Prob. 93ECh. 12.2 - Prob. 94ECh. 12.2 - Prob. 95ECh. 12.2 - Prob. 96ECh. 12.2 - Book of Odds The following table gives the...Ch. 12.2 - Prob. 98ECh. 12.2 - Prob. 99ECh. 12.2 - Civil War Estimates of the Confederate Armys...Ch. 12.2 - Prob. 101ECh. 12.2 - Prob. 103ECh. 12.2 - Prob. 104ECh. 12.2 - Refugees In a refugee camp in southern Mexico it...Ch. 12.2 - Prob. 106ECh. 12.2 - Chinese New Year Exercise 83 of the previous...Ch. 12.2 - Prob. 108ECh. 12.3 - Your turn 1 In example 2, find P(A|F). EXAMPLE 2...Ch. 12.3 - Prob. 2YTCh. 12.3 - Prob. 3YTCh. 12.3 - YOUR TURN At a local college, 4/5 of the students...Ch. 12.3 - Prob. 6YTCh. 12.3 - Prob. 7YTCh. 12.3 - YOUR TURN 8 The probability that a student will...Ch. 12.3 - Prob. 1ECh. 12.3 - Prob. 2ECh. 12.3 - Prob. 3ECh. 12.3 - Prob. 4ECh. 12.3 - Prob. 5ECh. 12.3 - If two fair dices are rolled, find the...Ch. 12.3 - Prob. 7ECh. 12.3 - Prob. 8ECh. 12.3 - Prob. 9ECh. 12.3 - Prob. 10ECh. 12.3 - Prob. 11ECh. 12.3 - If two cards are drawn without replacement from an...Ch. 12.3 - Prob. 13ECh. 12.3 - Prob. 14ECh. 12.3 - Prob. 15ECh. 12.3 - Prob. 16ECh. 12.3 - Prob. 17ECh. 12.3 - Prob. 18ECh. 12.3 - Prob. 19ECh. 12.3 - Decide whether the following pairs of events are...Ch. 12.3 - Prob. 21ECh. 12.3 - Prob. 22ECh. 12.3 - Prob. 23ECh. 12.3 - Prob. 24ECh. 12.3 - Prob. 25ECh. 12.3 - Prob. 26ECh. 12.3 - Another friend asks you to explain how to tell...Ch. 12.3 - Prob. 28ECh. 12.3 - Prob. 29ECh. 12.3 - If A and B are events such that P(A)=0.5 and...Ch. 12.3 - Prob. 31ECh. 12.3 - Prob. 32ECh. 12.3 - Prob. 33ECh. 12.3 - Prob. 34ECh. 12.3 - Prob. 35ECh. 12.3 - Prob. 36ECh. 12.3 - The following problem submitted by Daniel Hahn of...Ch. 12.3 - Prob. 42ECh. 12.3 - Prob. 43ECh. 12.3 - Prob. 44ECh. 12.3 - Prob. 45ECh. 12.3 - Prob. 46ECh. 12.3 - The following table shows frequencies for...Ch. 12.3 - Prob. 49ECh. 12.3 - Prob. 51ECh. 12.3 - Breast Cancer To explain why the chance of a woman...Ch. 12.3 - Cigarette Smokers The following table gives a...Ch. 12.3 - Prob. 55ECh. 12.3 - Prob. 56ECh. 12.3 - Prob. 57ECh. 12.3 - Prob. 58ECh. 12.3 - Prob. 59ECh. 12.3 - Prob. 60ECh. 12.3 - Prob. 61ECh. 12.3 - Prob. 62ECh. 12.3 - Seat Belt Effectiveness A federal study showed...Ch. 12.3 - Prob. 64ECh. 12.3 - Prob. 65ECh. 12.3 - Working Women A survey has shown that 52 of the...Ch. 12.3 - Prob. 67ECh. 12.3 - Prob. 68ECh. 12.3 - Prob. 69ECh. 12.3 - Prob. 70ECh. 12.3 - Prob. 71ECh. 12.3 - Prob. 72ECh. 12.3 - Drivers License Test The Motor Vehicle Department...Ch. 12.3 - Prob. 74ECh. 12.3 - Studying A teacher has found that the probability...Ch. 12.3 - Prob. 76ECh. 12.3 - Prob. 77ECh. 12.3 - Alcohol Abstinence The Harvard School of Public...Ch. 12.3 - Prob. 80ECh. 12.3 - Prob. 81ECh. 12.3 - Prob. 82ECh. 12.3 - Prob. 83ECh. 12.3 - Job QualificationsOf all the people applying for a...Ch. 12.3 - Prob. 85ECh. 12.3 - Prob. 86ECh. 12.4 - Prob. 1YTCh. 12.4 - Prob. 2YTCh. 12.4 - Prob. 3YTCh. 12.4 - Prob. 1ECh. 12.4 - Prob. 2ECh. 12.4 - Prob. 4ECh. 12.4 - Draw a histogram for the following, and shade the...Ch. 12.4 - Prob. 6ECh. 12.4 - Prob. 7ECh. 12.4 - Prob. 8ECh. 12.4 - Prob. 9ECh. 12.4 - Prob. 10ECh. 12.4 - Find the expected value and standard deviation for...Ch. 12.4 - Prob. 12ECh. 12.4 - Prob. 13ECh. 12.4 - Prob. 14ECh. 12.4 - Prob. 15ECh. 12.4 - Prob. 16ECh. 12.4 - Prob. 17ECh. 12.4 - Prob. 18ECh. 12.4 - Suppose a die is rolled 4 times. a. Find the...Ch. 12.4 - Prob. 20ECh. 12.4 - Prob. 21ECh. 12.4 - Prob. 22ECh. 12.4 - Four slips of paper numbered 2, 3, 4, and 5 are in...Ch. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - Prob. 26ECh. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.4 - Prob. 33ECh. 12.4 - Prob. 34ECh. 12.4 - Prob. 35ECh. 12.4 - Prob. 36ECh. 12.4 - Prob. 37ECh. 12.4 - Prob. 38ECh. 12.4 - Prob. 39ECh. 12.4 - Prob. 40ECh. 12.4 - Prob. 41ECh. 12.4 - Prob. 42ECh. 12.4 - Prob. 43ECh. 12.4 - Prob. 44ECh. 12.CR - Determine whether each of the following statements...Ch. 12.CR - Prob. 2CRCh. 12.CR - Prob. 3CRCh. 12.CR - Prob. 4CRCh. 12.CR - Prob. 5CRCh. 12.CR - Prob. 6CRCh. 12.CR - Prob. 7CRCh. 12.CR - Prob. 8CRCh. 12.CR - Prob. 9CRCh. 12.CR - Prob. 10CRCh. 12.CR - Prob. 11CRCh. 12.CR - Prob. 12CRCh. 12.CR - Prob. 13CRCh. 12.CR - Prob. 14CRCh. 12.CR - Prob. 15CRCh. 12.CR - Prob. 16CRCh. 12.CR - Prob. 17CRCh. 12.CR - Prob. 18CRCh. 12.CR - Prob. 19CRCh. 12.CR - Prob. 20CRCh. 12.CR - Prob. 21CRCh. 12.CR - Prob. 22CRCh. 12.CR - Prob. 23CRCh. 12.CR - Prob. 24CRCh. 12.CR - Prob. 25CRCh. 12.CR - Prob. 26CRCh. 12.CR - Prob. 27CRCh. 12.CR - Prob. 28CRCh. 12.CR - Prob. 29CRCh. 12.CR - Prob. 30CRCh. 12.CR - Prob. 31CRCh. 12.CR - Prob. 32CRCh. 12.CR - Prob. 33CRCh. 12.CR - Prob. 34CRCh. 12.CR - Prob. 35CRCh. 12.CR - Prob. 36CRCh. 12.CR - Prob. 37CRCh. 12.CR - Prob. 38CRCh. 12.CR - Prob. 39CRCh. 12.CR - Prob. 40CRCh. 12.CR - Prob. 41CRCh. 12.CR - Prob. 42CRCh. 12.CR - Prob. 43CRCh. 12.CR - Prob. 44CRCh. 12.CR - Prob. 45CRCh. 12.CR - Prob. 46CRCh. 12.CR - Prob. 47CRCh. 12.CR - Prob. 48CRCh. 12.CR - Prob. 49CRCh. 12.CR - Prob. 50CRCh. 12.CR - Prob. 51CRCh. 12.CR - Prob. 52CRCh. 12.CR - Prob. 53CRCh. 12.CR - Prob. 54CRCh. 12.CR - Prob. 55CRCh. 12.CR - Prob. 56CRCh. 12.CR - Prob. 57CRCh. 12.CR - Prob. 58CRCh. 12.CR - Prob. 59CRCh. 12.CR - Prob. 60CRCh. 12.CR - Prob. 61CRCh. 12.CR - Prob. 62CRCh. 12.CR - Prob. 63CRCh. 12.CR - Prob. 64CRCh. 12.CR - Prob. 65CRCh. 12.CR - Prob. 66CRCh. 12.CR - Prob. 67CRCh. 12.CR - Prob. 68CRCh. 12.CR - Prob. 69CRCh. 12.CR - Prob. 70CRCh. 12.CR - Prob. 71CRCh. 12.CR - Prob. 72CRCh. 12.CR - Prob. 73CRCh. 12.CR - Prob. 74CRCh. 12.CR - Prob. 75CRCh. 12.CR - Prob. 76CRCh. 12.CR - Prob. 77CRCh. 12.CR - Prob. 78CRCh. 12.CR - Prob. 79CRCh. 12.CR - Prob. 80CRCh. 12.CR - Prob. 81CRCh. 12.CR - Prob. 82CRCh. 12.CR - Prob. 83CRCh. 12.CR - Prob. 84CRCh. 12.CR - Prob. 85CRCh. 12.CR - Prob. 86CRCh. 12.CR - Prob. 87CRCh. 12.CR - Prob. 88CRCh. 12.CR - Prob. 89CRCh. 12.CR - Prob. 90CRCh. 12.CR - Prob. 91CRCh. 12.CR - Prob. 92CRCh. 12.CR - Prob. 93CRCh. 12.CR - Prob. 94CRCh. 12.CR - Prob. 97CRCh. 12.CR - Body Mass Index the results of a survey of body...Ch. 12.CR - Elections In the 2012 presidential election, over...Ch. 12.CR - Prob. 105CRCh. 12.CR - Prob. 109CRCh. 12.CR - Prob. 110CRCh. 12.CR - Prob. 112CRCh. 12.EA - Find P(H2C1).Ch. 12.EA - Prob. 2EACh. 12.EA - Prob. 3EA
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