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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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Question
Chapter 8.CR, Problem 45CR
To determine
To find:
Volume of solid by revolution about x axis
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Students have asked these similar questions
Find the volume of the solid obtained by rotating the region enclosed by the graphs of f(x)=8-1-8), y 0 about the y-axis.
(Use symbolic notation and fractions where needed.)
Volume = 250pl
Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line.
y = x2
y = 0
X = 3
(a) the x-axis
243
(b) the y-axis
81n
2
(c) the line x = 4
54
Q4 By sketching the graph, find the volume of the solid generated by
revolving the region bounded by the parabola, y = x² + 4 and the
straight line y = 3x + 14 about the x – axis.
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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