Calculus For The Life Sciences
2nd Edition
ISBN: 9780321964038
Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher: Pearson Addison Wesley,
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Chapter 8.3, Problem 32E
To determine
To Find:
The average value of function
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Question 1:
If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p =
13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the
column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts)
Solution:
A barometer works based on the principle that the pressure exerted by the liquid column
balances atmospheric pressure. The pressure is given by:
P = pgh
Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the
liquid column is inversely proportional to its density:
Step 1: Given Data
PHg
hol=hgx
Poil
• Density of mercury: PHg = 13.6 g/cm³
Density of oil: Poil = 0.92 g/cm³
• Standard height of mercury at 1.00 atm: hμg
Step 2: Compute Height of Oil
= 760 mm = 0.760 m
13.6
hoil
= 0.760 x
0.92
hoil
= 0.760 × 14.78
hoil
= 11.23 m
Step 3: Compare Heights
Since oil is less dense than mercury, the column of oil must be much taller than that of
mercury. The factor by which it is taller is:
Final…
Chapter 8 Solutions
Calculus For The Life Sciences
Ch. 8.1 - YOUR TURN Use the trapezoidal rule with n=4 to...Ch. 8.1 - Prob. 2YTCh. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8E
Ch. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 21ECh. 8.1 - Repeat the instructions of Exercise 21 using the...Ch. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Blood Level Curve In the study of bioavailability...Ch. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - If you have program for simpson rule in your...Ch. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Chemical Formation The following table shows the...Ch. 8.2 - YOUR TURN Find xe2xdxCh. 8.2 - YOUR TURN Find ln2xdxCh. 8.2 - Prob. 3YTCh. 8.2 - Prob. 4YTCh. 8.2 - Prob. 5YTCh. 8.2 - YOUR TURN Find a 1x4+x2dx and b sin(4x)cos(2x)dxCh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Use integration by parts to derive the following...Ch. 8.2 - Use integration by parts to derive the following...Ch. 8.2 - a. One way to integrate xx+1dx is to use...Ch. 8.2 - Using integration by parts,...Ch. 8.2 - LIFE SCIENCE APPLICATIONS Reaction to a Drug The...Ch. 8.2 - LIFE SCIENCE APPLICATIONS Growth of a Population...Ch. 8.2 - LIFE SCIENCE APPLICATIONS APPLY IT Rate of growth...Ch. 8.2 - LIFE SCIENCES APPILICATIONS Thermic Effect of Food...Ch. 8.2 - OTHER APPLICATION Rate of Change of Revenue The...Ch. 8.3 - YOUR TURN Find the volume of the solid of...Ch. 8.3 - Prob. 2YTCh. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Find the average value of each function on the...Ch. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Earths Volume Most people assume that the Earth...Ch. 8.3 - Average Price Otis Taylor plots the price per...Ch. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Average Inventory The DeMarco Pasta Company...Ch. 8.4 - YOUR TURN Find each integral. a81x1/3dx b81x4/3dxCh. 8.4 - Prob. 2YTCh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 22ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 24ECh. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Determine whether each improper integral converges...Ch. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Find the area between the graph of the given...Ch. 8.4 - Prob. 32ECh. 8.4 - Find the area between the graph of the given...Ch. 8.4 - Prob. 34ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Example 1b leads to a paradox. Om the one hand,...Ch. 8.4 - Find the area between the graph of the given...Ch. 8.4 - a. Use your calculator to approximate 0bex2dx for...Ch. 8.4 - a. Use your calculator to approximate...Ch. 8.4 - For Exercises 42 and 43 use the integration...Ch. 8.4 - For Exercises 42 and 43 use the integration...Ch. 8.4 - LIFE SCIENCE APPLICATIONS Drug Reaction The rate...Ch. 8.4 - Drug Epidermic In an epidemiological model used to...Ch. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.CR - Prob. 1CRCh. 8.CR - Prob. 2CRCh. 8.CR - Prob. 3CRCh. 8.CR - Prob. 4CRCh. 8.CR - Prob. 5CRCh. 8.CR - Prob. 6CRCh. 8.CR - Prob. 7CRCh. 8.CR - Prob. 8CRCh. 8.CR - Prob. 9CRCh. 8.CR - Prob. 10CRCh. 8.CR - Prob. 11CRCh. 8.CR - Prob. 12CRCh. 8.CR - Prob. 13CRCh. 8.CR - Prob. 14CRCh. 8.CR - Prob. 15CRCh. 8.CR - Prob. 16CRCh. 8.CR - Prob. 17CRCh. 8.CR - Prob. 18CRCh. 8.CR - Prob. 19CRCh. 8.CR - Prob. 20CRCh. 8.CR - Prob. 21CRCh. 8.CR - Prob. 22CRCh. 8.CR - Prob. 27CRCh. 8.CR - Prob. 28CRCh. 8.CR - Find each integral, using techniques from this or...Ch. 8.CR - Prob. 30CRCh. 8.CR - Prob. 31CRCh. 8.CR - Prob. 32CRCh. 8.CR - Prob. 33CRCh. 8.CR - Prob. 34CRCh. 8.CR - Prob. 35CRCh. 8.CR - Prob. 36CRCh. 8.CR - Prob. 37CRCh. 8.CR - Prob. 38CRCh. 8.CR - Prob. 39CRCh. 8.CR - Prob. 40CRCh. 8.CR - Prob. 41CRCh. 8.CR - Prob. 42CRCh. 8.CR - Prob. 43CRCh. 8.CR - Prob. 44CRCh. 8.CR - Prob. 45CRCh. 8.CR - Prob. 46CRCh. 8.CR - Prob. 47CRCh. 8.CR - Prob. 48CRCh. 8.CR - Prob. 49CRCh. 8.CR - Prob. 50CRCh. 8.CR - Prob. 51CRCh. 8.CR - Prob. 52CRCh. 8.CR - Prob. 53CRCh. 8.CR - Prob. 54CRCh. 8.CR - Prob. 55CRCh. 8.CR - Prob. 56CRCh. 8.CR - Prob. 57CRCh. 8.CR - Prob. 58CRCh. 8.CR - Prob. 59CRCh. 8.CR - Prob. 60CRCh. 8.CR - Prob. 61CRCh. 8.CR - Prob. 62CRCh. 8.CR - Average Temperatures Suppose the temperature...Ch. 8.CR - Total Revenue The rate of change of revenue from...Ch. 8.EA - Prob. 1EACh. 8.EA - Prob. 2EACh. 8.EA - Prob. 3EA
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