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 10.CR, Problem 71CR
To determine
a.
To find:
The value of
To determine
b.
To find:
The matrix form of equation.
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Class, the class silues, and the class notes, whether the series does alternate and the absolute
values of the terms decrease), and if the test does apply, determine whether the series converges
or diverges. For the ith series, if the test does not apply the let Mi = 2, while if the test
determines divergence then M¿ = 4, and if it determines convergence then M¿ = 8.
1:
2:
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4:
5 :
∞
n=1
∞
(−1)n+1.
Σ(-1) +1
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Σ(-1)+1 sin(2n).
n=1
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2n² + 2n +3
4n2 +6
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e-n + n²
3n23n+1
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In(n + 1)
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Σ(-1) +1
n=1
∞
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n=1
Then the value of cos(M₁) + cos(2M2) + cos(3M3) + sin(2M4) + sin(M5) is
1.715
0.902
0.930
-1.647
-0.057
● 2.013
1.141
4.274
3. FCX14) = x²+3xx-y3
+.
A cylindrical chemical storage tank with a capacity of 950m3 is going to be constructed in a warehouse that is 11m by 14m with a height of 10m. The specifications call for the case to be made of sheet metal that costs $90/m2, the top to be made from sheet metal that costs $45/m2 and the wall to be made of sheet metal that costs $80/m2. If you want to minimize the cost to make the storage house, how much would you end up spending to build the tank?
Chapter 10 Solutions
Calculus For The Life Sciences
Ch. 10.1 - YOUR TURN Use the Gauss-Jordan method to solve the...Ch. 10.1 - Prob. 2YTCh. 10.1 - Prob. 3YTCh. 10.1 - Write the augmented matrix for each system. Do not...Ch. 10.1 - Write the augmented matrix for each system. Do not...Ch. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Write the system of equations associated with each...Ch. 10.1 - Write the system of equations associated with each...Ch. 10.1 - Prob. 7E
Ch. 10.1 - Prob. 8ECh. 10.1 - _ on a matrix correspond to transformations of a...Ch. 10.1 - Describe in your own words what 2R1+R3R3 means.Ch. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 18ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 20ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 22ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 24ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Use the Gauss-Jordan method to solve each system...Ch. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.1 - Prob. 42ECh. 10.1 - On National Public Radio, the "Weekend Edition"...Ch. 10.1 - Prob. 44ECh. 10.1 - Prob. 45ECh. 10.1 - Prob. 46ECh. 10.1 - Prob. 47ECh. 10.1 - Mixing Plant Foods Natural brand plant food is...Ch. 10.1 - 10.1 Exercises Surveys The president of Sams...Ch. 10.1 - Prob. 56ECh. 10.1 - Prob. 61ECh. 10.1 - Prob. 62ECh. 10.1 - Prob. 63ECh. 10.1 - Prob. 64ECh. 10.1 - Prob. 68ECh. 10.2 - YOUR TURN Find each sum, if possible. a...Ch. 10.2 - Prob. 2YTCh. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Decide whether each statement is true or false. If...Ch. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - EXERCISES Find the size of each matrix. Identify...Ch. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Find the size of each matrix. Identify any square,...Ch. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Perform the indicated operations, where possible....Ch. 10.2 - Prob. 28ECh. 10.2 - Perform the indicated operations, where possible....Ch. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - For matrices X=[xyzw] and 0=[0000], find the...Ch. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - OTHER APPLICATIONS Car Accidents The tables in the...Ch. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.3 - YOUR TURN Calculate the product AB where A=[3412]...Ch. 10.3 - Prob. 2YTCh. 10.3 - Let A=[-2403]and B=[-6240]. Find each value. 2ACh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - To find the product matrix AB. the number of...Ch. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - EXERCISES Find each matrix product, if possible....Ch. 10.3 - EXERCISES Find each matrix product, if possible....Ch. 10.3 - EXERCISES Let A=[2413] and B=[2136] a. Find AB. b....Ch. 10.3 - Given matrices P=[mnpq], X=[xyzw], and T=[rstu],...Ch. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Show that the system of linear equations...Ch. 10.3 - Let A=[1235], X=[x1x2] and B=[412], Show that the...Ch. 10.3 - Use a computer or graphing calculator and the...Ch. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - LIFE SCIENCE APPLICATIONS Dietetics In Exercise 39...Ch. 10.3 - Prob. 44ECh. 10.3 - Prob. 45ECh. 10.3 - Prob. 46ECh. 10.3 - Prob. 48ECh. 10.3 - Prob. 49ECh. 10.3 - Prob. 50ECh. 10.3 - Prob. 51ECh. 10.3 - Shoe Sales SalsShoes and Freds Footwear both have...Ch. 10.4 - YOUR TURN Use the inverse of the coefficient...Ch. 10.4 - EXERCISES Decide whether the given matrices are...Ch. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Find the inverse, if it exists, for each matrix....Ch. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Find the inverse, if it exists, for each matrix....Ch. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Solve each system of equations by using the...Ch. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Solve each system of equations by using the...Ch. 10.4 - Solve each system of equations by using the...Ch. 10.4 - Prob. 32ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Let A=[abcd]and 0=[0000]in Exercises 43-48. Show...Ch. 10.4 - Let A=[abcd]and 0=[0000]in Exercises 43-48. Show...Ch. 10.4 - Prob. 45ECh. 10.4 - Prob. 46ECh. 10.4 - Prob. 47ECh. 10.4 - Prob. 48ECh. 10.4 - Prob. 49ECh. 10.4 - Prob. 50ECh. 10.4 - Prob. 59ECh. 10.4 - Prob. 60ECh. 10.4 - Prob. 61ECh. 10.4 - Prob. 62ECh. 10.4 - Prob. 63ECh. 10.4 - Prob. 64ECh. 10.4 - Prob. 65ECh. 10.4 - Prob. 66ECh. 10.4 - Prob. 67ECh. 10.5 - Find the determinant of the following matrices....Ch. 10.5 - Find the determinant of the following matrices....Ch. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - Prob. 6ECh. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - Prob. 8ECh. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - For Exercises 512, find the eigenvalues and their...Ch. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - In exercise 14 and 15, each 22matrix has only one...Ch. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - In Exercises 16 and 17, each matrix has complex...Ch. 10.5 - Prob. 18ECh. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Leslie Matrices For each of the following Leslie...Ch. 10.5 - Prob. 23ECh. 10.5 - Prob. 26ECh. 10.CR - Prob. 1CRCh. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 25CRCh. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10.CR - Prob. 33CRCh. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CRCh. 10.CR - Prob. 36CRCh. 10.CR - Prob. 37CRCh. 10.CR - Prob. 38CRCh. 10.CR - Prob. 39CRCh. 10.CR - Prob. 40CRCh. 10.CR - Prob. 41CRCh. 10.CR - Prob. 42CRCh. 10.CR - Prob. 43CRCh. 10.CR - Prob. 44CRCh. 10.CR - Prob. 45CRCh. 10.CR - Prob. 46CRCh. 10.CR - Prob. 47CRCh. 10.CR - Prob. 48CRCh. 10.CR - Prob. 49CRCh. 10.CR - Prob. 50CRCh. 10.CR - Prob. 51CRCh. 10.CR - Prob. 52CRCh. 10.CR - Prob. 53CRCh. 10.CR - Prob. 54CRCh. 10.CR - Prob. 55CRCh. 10.CR - Prob. 56CRCh. 10.CR - Prob. 57CRCh. 10.CR - Prob. 58CRCh. 10.CR - Prob. 59CRCh. 10.CR - Prob. 60CRCh. 10.CR - Prob. 61CRCh. 10.CR - Prob. 62CRCh. 10.CR - Prob. 63CRCh. 10.CR - Prob. 70CRCh. 10.CR - Prob. 71CRCh. 10.CR - Prob. 78CRCh. 10.CR - Prob. 79CRCh. 10.CR - Baseball In the 2009 Major league Baseball season,...Ch. 10.CR - Prob. 81CRCh. 10.EA - Find the second-order contact matrix PQ mentioned...Ch. 10.EA - Prob. 2EACh. 10.EA - Prob. 3EACh. 10.EA - Prob. 4EA
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