 13.1: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.1: Are the sequences in Exercises 14 arithmetic? 2, 7, 11, 14,
 13.13.3.1: How many terms are there in the series in Exercises 12? Find the su...
 13.13.4.1: In Exercises 17, decide which of the following are geometric series...
 13.13.2.1: Are the series in Exercises 14 arithmetic? 2 + 4 + 8 + 16 +
 13.2: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.2: Are the sequences in Exercises 14 arithmetic? 2, 5,12, 19,
 13.13.3.2: How many terms are there in the series in Exercises 12? Find the su...
 13.13.4.2: In Exercises 17, decide which of the following are geometric series...
 13.13.2.2: Are the series in Exercises 14 arithmetic? 10 + 8 + 6 + 4 + 2 +
 13.3: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.3: Are the sequences in Exercises 14 arithmetic? 2, 7, 12, 17,
 13.13.3.3: Find the sum of the series in Exercises 37. . 3 + 32 +34 +38 + +3210
 13.13.4.3: In Exercises 17, decide which of the following are geometric series...
 13.13.2.3: Are the series in Exercises 14 arithmetic? 1+2+4+5+7+8+
 13.4: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.4: Are the sequences in Exercises 14 arithmetic? 2, 5,11, 16,
 13.13.3.4: Find the sum of the series in Exercises 37. . 5 + 15 + 45 + 135 + +...
 13.13.4.4: In Exercises 17, decide which of the following are geometric series...
 13.13.2.4: Are the series in Exercises 14 arithmetic? 13 +23 +53 +83 +
 13.5: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.5: Are the sequences in Exercises 57 arithmetic? For those that are, g...
 13.13.3.5: Find the sum of the series in Exercises 37. 1125 + 125 + 15 + + 625
 13.13.4.5: In Exercises 17, decide which of the following are geometric series...
 13.13.2.5: Expand the sums in Exercises 510. (Do not evaluate.) 5=12
 13.6: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.6: Are the sequences in Exercises 57 arithmetic? For those that are, g...
 13.13.3.6: Find the sum of the series in Exercises 37. 10=14(2)
 13.13.4.6: In Exercises 17, decide which of the following are geometric series...
 13.13.2.6: Expand the sums in Exercises 510. (Do not evaluate.) 20=10( + 1)2
 13.7: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.7: Are the sequences in Exercises 57 arithmetic? For those that are, g...
 13.13.3.7: Find the sum of the series in Exercises 37. 7=02(34)
 13.13.4.7: In Exercises 17, decide which of the following are geometric series...
 13.13.2.7: Expand the sums in Exercises 510. (Do not evaluate.) 5=02 + 1
 13.8: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.8: Are the sequences in Exercises 811 geometric? 2, 6, 18, 54,
 13.13.3.8: In Exercises 811, decide which of the following are geometric serie...
 13.13.4.8: Find the sum of the series in 1.
 13.13.2.8: Expand the sums in Exercises 510. (Do not evaluate.) 6=13( 3)
 13.13.2.9: Expand the sums in Exercises 510. (Do not evaluate.) 10=2(1)
 13.9: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.9: Are the sequences in Exercises 811 geometric? 2, 4, 8, 12,
 13.13.3.9: In Exercises 811, decide which of the following are geometric serie...
 13.13.4.9: Find the sum of the series in 2.
 13.13.2.10: Expand the sums in Exercises 510. (Do not evaluate.) 7=1(1)12
 13.10: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.10: Are the sequences in Exercises 811 geometric? 2,1, 12 ,14 , 18 ,
 13.13.3.10: In Exercises 811, decide which of the following are geometric serie...
 13.13.4.10: Find the sum of the series in Exercises 1017. 2 + 1 12 +14 18 +116
 13.13.2.11: In Exercises 1114, write the sum using sigma notation. 3 + 6 + 9 + ...
 13.11: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.11: Are the sequences in Exercises 811 geometric? 2, 0.2, 0.02, 0.002,
 13.13.3.11: In Exercises 811, decide which of the following are geometric serie...
 13.13.4.11: Find the sum of the series in Exercises 1017. 11 11(0.1) + 11(0.1)2
 13.13.2.12: In Exercises 1114, write the sum using sigma notation. 10 + 13 + 16...
 13.12: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.12: Are the sequences in Exercises 1217 geometric? For those that are, ...
 13.13.3.12: Write each of the sums in Exercises 1215 in sigma notation. 1 + 4 +...
 13.13.4.12: Find the sum of the series in Exercises 1017. =2(0.1)
 13.13.2.13: In Exercises 1114, write the sum using sigma notation. 12 + 1 + 32 ...
 13.13: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.13: Are the sequences in Exercises 1217 geometric? For those that are, ...
 13.13.3.13: Write each of the sums in Exercises 1215 in sigma notation. 3 9 + 2...
 13.13.4.13: Find the sum of the series in Exercises 1017. =4 (13)
 13.13.2.14: In Exercises 1114, write the sum using sigma notation. 30 + 25 + 20...
 13.14: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.14: Are the sequences in Exercises 1217 geometric? For those that are, ...
 13.13.3.14: Write each of the sums in Exercises 1215 in sigma notation. 2 + 10 ...
 13.13.4.14: Find the sum of the series in Exercises 1017. =03 + 54
 13.13.2.15: (a) Use sigma notation to write the sum 2+4+6++20 of the first 10 e...
 13.15: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.15: Are the sequences in Exercises 1217 geometric? For those that are, ...
 13.13.3.15: Write each of the sums in Exercises 1215 in sigma notation. 32 16 +...
 13.13.4.15: Find the sum of the series in Exercises 1017. =0322
 13.13.2.16: In Exercises 1620, complete the tables with the terms of the arithm...
 13.16: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.16: Are the sequences in Exercises 1217 geometric? For those that are, ...
 13.13.3.16: Evaluate the sums in Exercises 1619. 4=0(0.1)
 13.13.4.16: Find the sum of the series in Exercises 1017. =17((0.1) + (0.2)+2)
 13.13.2.17: In Exercises 1620, complete the tables with the terms of the arithm...
 13.17: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.17: Are the sequences in Exercises 1217 geometric? For those that are, ...
 13.13.3.17: Evaluate the sums in Exercises 1619. 5=032
 13.13.4.17: Find the sum of the series in Exercises 1017. =12,  < 1
 13.13.2.18: In Exercises 1620, complete the tables with the terms of the arithm...
 13.18: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.18: In 1823, write out the first four terms of each sequence and state ...
 13.13.3.18: Evaluate the sums in Exercises 1619. 1=0
 13.13.4.18: A repeating decimal can always be expressed as a fraction. This pro...
 13.13.4.19: In 1923, use the method of to write each of the decimals as fractio...
 13.13.2.19: In Exercises 1620, complete the tables with the terms of the arithm...
 13.19: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.19: In 1823, write out the first four terms of each sequence and state ...
 13.13.3.19: Evaluate the sums in Exercises 1619. =0(1)
 13.13.4.20: In 1923, use the method of to write each of the decimals as fractio...
 13.13.2.20: In Exercises 1620, complete the tables with the terms of the arithm...
 13.20: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.20: In 1823, write out the first four terms of each sequence and state ...
 13.13.3.20: Write 3 + 5 + 7 + 9 + 11 in notation.
 13.13.4.21: In 1923, use the method of to write each of the decimals as fractio...
 13.13.2.21: Find the sum of the first 1000 integers: 1+2+3++1000.
 13.21: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.21: In 1823, write out the first four terms of each sequence and state ...
 13.13.3.21: Worldwide consumption of oil was about 88 billion barrels in 2012.1...
 13.13.4.22: In 1923, use the method of to write each of the decimals as fractio...
 13.13.2.22: Without using a calculator, find the sum of the series in 2229. 50=13
 13.22: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.22: In 1823, write out the first four terms of each sequence and state ...
 13.13.3.22: Figure 13.3 shows the quantity of the drug atenolol in the blood as...
 13.13.4.23: In 1923, use the method of to write each of the decimals as fractio...
 13.13.2.23: Without using a calculator, find the sum of the series in 2229. 30=...
 13.23: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.23: In 1823, write out the first four terms of each sequence and state ...
 13.13.3.23: Annual deposits of $4000 are made into a bank account earning 2% in...
 13.13.4.24: You have an ear infection and are told to take a 250mg tablet of a...
 13.13.2.24: Without using a calculator, find the sum of the series in 2229. 15=...
 13.24: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.24: An arithmetic sequence has first term of 10 and difference of 5; wh...
 13.13.3.24: A deposit of $1000 is made once a year, starting today, into a bank...
 13.13.4.25: In we found the quantity , the amount (in mg) of ampicillin left in...
 13.13.2.25: Without using a calculator, find the sum of the series in 2229. 10=...
 13.13.1.25: An arithmetic sequence has first term of 5 and difference of 10. Af...
 13.25: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.3.25: What effect does doubling each of the following quantities (leaving...
 13.13.4.26: Draw a graph like that in Figure 13.3 for 250 mg of ampicillin take...
 13.13.2.26: Without using a calculator, find the sum of the series in 2229. 2+2...
 13.26: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.26: In 2629, find the 5, 50, term of the arithmetic sequences. 3, 5, 7,
 13.13.3.26: To save for a new car, you put $500 a month into an account earning...
 13.13.4.27: Basketball player Patrick Ewing received a contract from the New Yo...
 13.13.2.27: Without using a calculator, find the sum of the series in 2229. 101...
 13.13.1.27: In 2629, find the 5, 50, term of the arithmetic sequences. 6, 7.2,
 13.27: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.3.27: A bank account in which interest is earned at 2% per year, compound...
 13.13.4.28: 2830 are about bonds, which are issued by a government to raise mon...
 13.13.2.28: Without using a calculator, find the sum of the series in 2229. 26....
 13.13.1.28: In 2629, find the 5, 50, term of the arithmetic sequences. 1 = 2.1,...
 13.28: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.4.29: 2830 are about bonds, which are issued by a government to raise mon...
 13.13.2.29: Without using a calculator, find the sum of the series in 2229. 3.0...
 13.29: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.29: In 2629, find the 5, 50, term of the arithmetic sequences. 3 = 5.7,...
 13.13.4.30: 2830 are about bonds, which are issued by a government to raise mon...
 13.13.2.30: Jenny decides to raise money for her local charity by encouraging p...
 13.30: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.1.30: In 3033, find the 6 and of the geometric sequences. 1, 2, 4,
 13.13.2.31: Find the thirtieth positive multiple of 5 and the sum of the first ...
 13.13.1.31: In 3033, find the 6 and of the geometric sequences. 7, 5.25,
 13.31: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.2.32: For the AIDS data in Table 13.1 on page 541, (a) Find and interpret...
 13.13.1.32: In 3033, find the 6 and of the geometric sequences. 1 = 3, 3 = 48
 13.32: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.2.33: Table 13.2 shows US Census figures,9 in millions. Interpret these f...
 13.13.1.33: In 3033, find the 6 and of the geometric sequences. 2 = 6, 4 = 54
 13.33: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.2.34: Simplify the expressions in 3437. 5=12 4=0( + 1)2
 13.13.1.34: During 2012, global oil consumption grew by 0.7%, to reach 88 milli...
 13.34: Are the statements in 134 true or false? Give an explanation for yo...
 13.13.2.35: Simplify the expressions in 3437. 20=4 20=4(2)
 13.13.1.35: In 2011, US natural gas consumption was 690.1 billion cubic meters....
 13.13.2.36: Simplify the expressions in 3437. 20=11
 13.13.1.36: The population4 of Nevada grew from 2.4 million in 2005 to 2.76 mil...
 13.13.2.37: Simplify the expressions in 3437. 15=13 15=33
 13.13.1.37: Floridas population5 was 19.042 million in 2012 and 18.934 million ...
 13.13.2.38: 3841 refer to the falling object of Example 6 on page 545. Calculat...
 13.13.1.38: The graphs in 3841 represent either an arithmetic or a geometric se...
 13.13.2.39: 3841 refer to the falling object of Example 6 on page 545. (a) Find...
 13.13.1.39: The graphs in 3841 represent either an arithmetic or a geometric se...
 13.13.2.40: 3841 refer to the falling object of Example 6 on page 545. Find a f...
 13.13.1.40: The graphs in 3841 represent either an arithmetic or a geometric se...
 13.13.2.41: 3841 refer to the falling object of Example 6 on page 545. If the o...
 13.13.1.41: The graphs in 3841 represent either an arithmetic or a geometric se...
 13.13.2.42: A boy is dividing M&Ms between himself and his sister. He gives one...
 13.13.1.42: A sequence can be defined by a recurrence relation, which gives in ...
 13.13.2.43: An auditorium has 30 seats in the first row, 34 seats in the second...
 13.13.1.43: A sequence can be defined by a recurrence relation, which gives in ...
 13.13.2.44: (a) Show that 3 ( 1)3 = 32 3 + 1. (b) Write 3 = 3 ( 1)3 + ( 1)3 ( 2...
 13.13.1.44: A sequence can be defined by a recurrence relation, which gives in ...
 13.13.2.45: In the text we showed how to calculate the sum of an arithmetic ser...
 13.13.1.45: A sequence can be defined by a recurrence relation, which gives in ...
 13.13.1.46: A geometric sequence has first term of 10 and ratio of 0.2. After h...
 13.13.1.47: The sequence defined by +1 = 2 2 200 , 0 = 150, is called a discret...
 13.13.1.48: The Fibonacci sequence starts with 1, 1, 2, 3, 5, , and each term i...
 13.13.1.49: Some people believe they can make money from a chain letter (they a...
 13.13.1.50: For a positive integer , let be the fraction of the US population w...
Solutions for Chapter 13: Functions Modeling Change: A Preparation for Calculus 5th Edition
Full solutions for Functions Modeling Change: A Preparation for Calculus  5th Edition
ISBN: 9781118583197
Solutions for Chapter 13
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus, edition: 5. Chapter 13 includes 186 full stepbystep solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9781118583197. Since 186 problems in chapter 13 have been answered, more than 20849 students have viewed full stepbystep solutions from this chapter.

Bearing
Measure of the clockwise angle that the line of travel makes with due north

Chord of a conic
A line segment with endpoints on the conic

Constant
A letter or symbol that stands for a specific number,

Constant of variation
See Power function.

Distance (on a number line)
The distance between real numbers a and b, or a  b

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Equilibrium price
See Equilibrium point.

Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.

Expanded form
The right side of u(v + w) = uv + uw.

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Frequency (in statistics)
The number of individuals or observations with a certain characteristic.

Future value of an annuity
The net amount of money returned from an annuity.

Gaussian elimination
A method of solving a system of n linear equations in n unknowns.

Graphical model
A visible representation of a numerical or algebraic model.

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Midpoint (on a number line)
For the line segment with endpoints a and b, a + b2

Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.

Reduced row echelon form
A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Vertical line test
A test for determining whether a graph is a function.