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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Textbook Question
Chapter 9.1, Problem 5E
EXERCISES
Let
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b.
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d.
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3. We'd like to know the first time when the population reaches 7000 people. First, graph the
function from part (a) on your calculator or Desmos. In the same window, graph the line y =
7000. Notice that you will need to adjust your window so that you can see values as big as
7000! Investigate the intersection of the two graphs. (This video shows you how to find the
intersection on your calculator, or in Desmos just hover the cursor over the point.) At what
value t> 0 does the line intersect with your exponential function? Round your answer to two
decimal places. (You don't need to show work for this part.) (2 points)
Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate of
0.35%. Use this information for all the problems below.
1. Find an exponential function f(t) that gives the population of Tattooine t years from now. (3
points)
A house was valued at $95,000 in the year 1988. The value appreciated to $170,000 by the year 2007.
A) If the value is growing exponentially, what was the annual growth rate between 1988 and 2007?
Round the growth rate to 4 decimal places.
r =
B) What is the correct answer to part A written in percentage form?
r = 3
%.
Chapter 9 Solutions
Pearson eText for Calculus for the Life Sciences -- Instant Access (Pearson+)
Ch. 9.1 - YOUR TURN For the function in Example 1, find...Ch. 9.1 - Prob. 2YTCh. 9.1 - Prob. 3YTCh. 9.1 - EXERCISES Let f(x,y)=2x3y+5.Find the following. a....Ch. 9.1 - Prob. 2ECh. 9.1 - EXERCISES Let h(x,y)=x2+2y2. Find the following....Ch. 9.1 - EXERCISES Let f(x,y)=9x+5ylogx. Find the...Ch. 9.1 - EXERCISES Let f(x,y)=ex+ln(x+y). Find the...Ch. 9.1 - EXERCISES Let f(x,y)=xex+y. Find the following. a....Ch. 9.1 - EXERCISES Let f(x,y)=xsin(x2y). Find the...
Ch. 9.1 - EXERCISES Let f(x,y)=ycos(x+y).Find the following....Ch. 9.1 - EXERCISES Graph the level curves in the first...Ch. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Match each equation in Exercise 2530with its graph...Ch. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Let f(x,y)=xyex2+y2. Use a graphing calculator or...Ch. 9.1 - The following table provides values of the...Ch. 9.1 - LIFE SCIENCE APPLICATIONS Life Span Researchers...Ch. 9.1 - LIFE SCIENCE APPLICATIONS Heat Loss The rate of...Ch. 9.1 - LIFE SCIENCE APPLICATIONS Body Surface Area The...Ch. 9.1 - LIFE SCIENCE APPLICATIONS Dinosaur Running An...Ch. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Agriculture Pregnant sows tethered in stalls often...Ch. 9.1 - Prob. 44ECh. 9.1 - Total Body Water Accurate prediction of total body...Ch. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.2 - YOUR TURN Let f(x,y)=2x2y3+6x5y4. Find fx(x,y) and...Ch. 9.2 - Prob. 2YTCh. 9.2 - Prob. 3YTCh. 9.2 - Prob. 4YTCh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Prob. 16ECh. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - In Exercise 3-22 find fx(x,y)and fy(x,y).Then find...Ch. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - LIFE SCIENCE APPLICATIONS Calorie Expenditure The...Ch. 9.2 - Prob. 50ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Prob. 55ECh. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Prob. 62ECh. 9.2 - Prob. 63ECh. 9.2 - Prob. 66ECh. 9.2 - Prob. 67ECh. 9.2 - Prob. 68ECh. 9.2 - Prob. 69ECh. 9.3 - Prob. 1YTCh. 9.3 - Prob. 2YTCh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Find all points where the functions have any...Ch. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Let f(x,y)=y22x2y+4x3+20x2. The only critical...Ch. 9.3 - Prob. 31ECh. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - Prob. 41ECh. 9.4 - Prob. 1YTCh. 9.4 - Prob. 2YTCh. 9.4 - Prob. 3YTCh. 9.4 - Evaluate dzusing the given information....Ch. 9.4 - Evaluate dzusing the given information....Ch. 9.4 - Evaluate dzusing the given the information....Ch. 9.4 - Evaluate dzusing the given information....Ch. 9.4 - Multivariable Calculus Total Differentials and...Ch. 9.4 - Evaluate dzusing the given information....Ch. 9.4 - Use the total differential to approximate each...Ch. 9.4 - Use the total differential to approximate each...Ch. 9.4 - Use the total differential to approximate each...Ch. 9.4 - Use the total differential to approximate each...Ch. 9.4 - Use the total differential to approximate each...Ch. 9.4 - Use the total differential to approximate each...Ch. 9.4 - Use the total differential to approximate each...Ch. 9.4 - Use the total differential to approximate each...Ch. 9.4 - Use the total differential to approximate each...Ch. 9.4 - Prob. 16ECh. 9.4 - Blood Vessel Volume A portion of a blood vessel is...Ch. 9.4 - Multivariable Calculus Total Differentials and...Ch. 9.4 - Multivariable Calculus Total Differentials and...Ch. 9.4 - Dialysis A model that estimates the concentration...Ch. 9.4 - Multivariable Calculus Total Differentials and...Ch. 9.4 - Eastern Hemlock Ring shake, which is the...Ch. 9.4 - Multivariable Calculus Total Differentials and...Ch. 9.4 - Multivariable Calculus Total Differentials and...Ch. 9.4 - Multivariable Calculus Total Differentials and...Ch. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Multivariable Calculus Total Differentials and...Ch. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - Prob. 35ECh. 9.5 - Prob. 1YTCh. 9.5 - Prob. 2YTCh. 9.5 - Prob. 3YTCh. 9.5 - Prob. 4YTCh. 9.5 - Prob. 5YTCh. 9.5 - Prob. 1ECh. 9.5 - Prob. 2ECh. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - EXERCISES Evaluate each integral. 15ye4x+y2dxCh. 9.5 - EXERCISES Evaluate each iterated integral. Many of...Ch. 9.5 - Prob. 12ECh. 9.5 - Prob. 13ECh. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Prob. 17ECh. 9.5 - Prob. 18ECh. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - EXERCISES Find each double integral over the...Ch. 9.5 - EXERCISES Find each double integral over the...Ch. 9.5 - Prob. 23ECh. 9.5 - Prob. 24ECh. 9.5 - EXERCISES Find each double integral over the...Ch. 9.5 - Prob. 26ECh. 9.5 - EXERCISES Find each double integral over the...Ch. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - EXERCISES Find each double integral over the...Ch. 9.5 - Prob. 31ECh. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - Prob. 36ECh. 9.5 - Prob. 37ECh. 9.5 - Prob. 38ECh. 9.5 - Prob. 39ECh. 9.5 - Prob. 40ECh. 9.5 - Prob. 41ECh. 9.5 - Prob. 42ECh. 9.5 - Prob. 43ECh. 9.5 - Prob. 44ECh. 9.5 - Prob. 45ECh. 9.5 - Prob. 46ECh. 9.5 - Prob. 47ECh. 9.5 - Prob. 48ECh. 9.5 - Prob. 49ECh. 9.5 - Prob. 50ECh. 9.5 - Prob. 51ECh. 9.5 - Prob. 52ECh. 9.5 - EXERCISES Use the region R with the indicated...Ch. 9.5 - EXERCISES Use the region R with the indicated...Ch. 9.5 - Prob. 55ECh. 9.5 - EXERCISES Use the region R with the indicated...Ch. 9.5 - Prob. 57ECh. 9.5 - Prob. 58ECh. 9.5 - Prob. 59ECh. 9.5 - Prob. 60ECh. 9.5 - Prob. 61ECh. 9.5 - Prob. 63ECh. 9.5 - Prob. 64ECh. 9.5 - Prob. 65ECh. 9.5 - Prob. 66ECh. 9.5 - Prob. 67ECh. 9.5 - Prob. 68ECh. 9.5 - Prob. 69ECh. 9.5 - Prob. 70ECh. 9.CR - Determine whether each of the following statements...Ch. 9.CR - Prob. 2CRCh. 9.CR - Prob. 3CRCh. 9.CR - Prob. 4CRCh. 9.CR - Prob. 5CRCh. 9.CR - Prob. 6CRCh. 9.CR - Prob. 7CRCh. 9.CR - Prob. 8CRCh. 9.CR - Prob. 9CRCh. 9.CR - Prob. 10CRCh. 9.CR - Prob. 11CRCh. 9.CR - Prob. 12CRCh. 9.CR - Prob. 13CRCh. 9.CR - Prob. 14CRCh. 9.CR - Prob. 15CRCh. 9.CR - Prob. 16CRCh. 9.CR - Prob. 17CRCh. 9.CR - Prob. 18CRCh. 9.CR - Prob. 19CRCh. 9.CR - Prob. 20CRCh. 9.CR - Prob. 21CRCh. 9.CR - Prob. 22CRCh. 9.CR - Prob. 23CRCh. 9.CR - Prob. 24CRCh. 9.CR - Prob. 25CRCh. 9.CR - Prob. 26CRCh. 9.CR - Prob. 27CRCh. 9.CR - Prob. 28CRCh. 9.CR - Prob. 29CRCh. 9.CR - Prob. 30CRCh. 9.CR - Prob. 31CRCh. 9.CR - Prob. 32CRCh. 9.CR - Prob. 33CRCh. 9.CR - Prob. 34CRCh. 9.CR - Prob. 35CRCh. 9.CR - Prob. 36CRCh. 9.CR - Prob. 37CRCh. 9.CR - Prob. 38CRCh. 9.CR - Prob. 39CRCh. 9.CR - Prob. 40CRCh. 9.CR - Prob. 41CRCh. 9.CR - Prob. 42CRCh. 9.CR - Prob. 43CRCh. 9.CR - Prob. 44CRCh. 9.CR - Prob. 45CRCh. 9.CR - Prob. 46CRCh. 9.CR - Prob. 47CRCh. 9.CR - Prob. 48CRCh. 9.CR - Prob. 49CRCh. 9.CR - Prob. 50CRCh. 9.CR - Prob. 51CRCh. 9.CR - Prob. 52CRCh. 9.CR - Prob. 53CRCh. 9.CR - Prob. 54CRCh. 9.CR - Prob. 55CRCh. 9.CR - Prob. 56CRCh. 9.CR - Prob. 57CRCh. 9.CR - Prob. 58CRCh. 9.CR - Prob. 59CRCh. 9.CR - Prob. 60CRCh. 9.CR - Prob. 61CRCh. 9.CR - Prob. 62CRCh. 9.CR - Prob. 63CRCh. 9.CR - Prob. 64CRCh. 9.CR - Prob. 65CRCh. 9.CR - Prob. 66CRCh. 9.CR - Prob. 67CRCh. 9.CR - Prob. 68CRCh. 9.CR - Prob. 69CRCh. 9.CR - Prob. 70CRCh. 9.CR - Prob. 71CRCh. 9.CR - Prob. 72CRCh. 9.CR - Prob. 73CRCh. 9.CR - Prob. 74CRCh. 9.CR - Prob. 75CRCh. 9.CR - Prob. 76CRCh. 9.CR - Prob. 77CRCh. 9.CR - Prob. 78CRCh. 9.CR - Prob. 79CRCh. 9.CR - Prob. 80CRCh. 9.CR - Prob. 81CRCh. 9.CR - Prob. 82CRCh. 9.CR - Prob. 83CRCh. 9.CR - Prob. 84CRCh. 9.CR - Prob. 85CRCh. 9.CR - Prob. 86CRCh. 9.CR - Prob. 88CRCh. 9.CR - Prob. 89CRCh. 9.CR - Prob. 90CRCh. 9.CR - Prob. 91CRCh. 9.CR - Prob. 92CRCh. 9.CR - Prob. 93CRCh. 9.CR - Prob. 94CRCh. 9.CR - Prob. 95CRCh. 9.CR - Prob. 96CRCh. 9.CR - Prob. 97CRCh. 9.CR - Production Error The height of a sample cone from...Ch. 9.CR - Prob. 99CRCh. 9.EA - Prob. 1EACh. 9.EA - Prob. 2EA
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