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 9.2, Problem 60E
To determine
(a)
To find:
The approximate change in life span under the following condition. Then calculate the actual change in life span and compare.
To determine
(b)
To find:
The aprrosimate change in life span under the following condition. Then calculate the actual change in life span and compare.
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u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (ū+v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u. (vxw)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
Question 3 (6 points)
u, v and w are three coplanar vectors:
⚫ w has a magnitude of 10 and points along the positive x-axis
⚫ v has a magnitude of 3 and makes an angle of 58 degrees to the positive x-
axis
⚫ u has a magnitude of 5 and makes an angle of 119 degrees to the positive x-
axis
⚫ vector v is located in between u and w
a) Draw a diagram of the three vectors placed tail-to-tail at the origin of an x-y plane.
b) If possible, find
w × (u + v)
Support your answer mathematically or a with a written explanation.
c) If possible, find
v. (ū⋅ w)
Support your answer mathematically or a with a written explanation.
d) If possible, find
u (v × w)
Support your answer mathematically or a with a written explanation.
Note: in this question you can work with the vectors in geometric form or convert
them to algebraic vectors.
K
Find all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the
limit doesn't exist.
x-7
p(x) =
X-7
Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
(Use a comma to separate answers as needed.)
OA. f is discontinuous at the single value x =
OB. f is discontinuous at the single value x=
OC. f is discontinuous at the two values x =
OD. f is discontinuous at the two values x =
The limit is
The limit does not exist and is not co or - ∞.
The limit for the smaller value is
The limit for the larger value is
The limit for the smaller value is
The limit for the larger value does not exist and is not c∞ or -
Chapter 9 Solutions
Calculus For The Life Sciences
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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