- 5.5.4.S1: In Exercises S1S6, write the numbers in scientific notation.
- 5.5.4.1: In Exercises 14, you wish to graph the quantities on a standard pie...
- 5.5.2.S1: For Exercises S1S4, simplify the expression if possible. 10 log 5
- 5.5.2.1: In Exercises 14, convert to the form = . = 47
- 5.1: For Exercises 18, evaluate without a calculator. log(log 10)
- 5.5.1.S1: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S1: For Exercises S1S2, evaluate without a calculator. log 0.0001
- 5.5.1.1: Rewrite the statements in Exercises 16 using exponents instead of l...
- 5.5.3.1: In Exercises 12, find the domain and range of the function. = ln( 3)
- 5.5.4.S2: In Exercises S1S6, write the numbers in scientific notation.
- 5.5.4.2: In Exercises 14, you wish to graph the quantities on a standard pie...
- 5.5.2.S2: For Exercises S1S4, simplify the expression if possible. 3 ln
- 5.5.2.2: In Exercises 14, convert to the form = . = 0.30.7
- 5.2: For Exercises 18, evaluate without a calculator. ln(ln )
- 5.5.1.S2: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S2: For Exercises S1S2, evaluate without a calculator. log 1006log 1002
- 5.5.1.2: Rewrite the statements in Exercises 16 using exponents instead of l...
- 5.5.3.2: In Exercises 12, find the domain and range of the function. = ln( + 1)
- 5.5.4.S3: In Exercises S1S6, write the numbers in scientific notation.
- 5.5.4.3: In Exercises 14, you wish to graph the quantities on a standard pie...
- 5.5.2.S3: For Exercises S1S4, simplify the expression if possible. ln 2
- 5.5.2.3: In Exercises 14, convert to the form = . = 145 0.03
- 5.3: For Exercises 18, evaluate without a calculator. 2 ln 4
- 5.5.1.S3: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S3: For Exercises S3S4, rewrite the exponential equation in equivalent ...
- 5.5.1.3: Rewrite the statements in Exercises 16 using exponents instead of l...
- 5.5.3.3: In Exercises 36, is the rate of change between two points on the gr...
- 5.5.4.S4: In Exercises S1S6, write the numbers in scientific notation.
- 5.5.4.4: In Exercises 14, you wish to graph the quantities on a standard pie...
- 5.5.2.S4: For Exercises S1S4, simplify the expression if possible. 102+log
- 5.5.2.4: In Exercises 14, convert to the form = . = 0.02
- 5.4: For Exercises 18, evaluate without a calculator. ln ( 15)
- 5.5.1.S4: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S4: For Exercises S3S4, rewrite the exponential equation in equivalent ...
- 5.5.1.4: Rewrite the statements in Exercises 16 using exponents instead of l...
- 5.5.3.4: In Exercises 36, is the rate of change between two points on the gr...
- 5.5.4.S5: In Exercises S1S6, write the numbers in scientific notation.
- 5.5.4.5: (a) Use a calculator to fill in the following tables (round to 4 de...
- 5.5.2.S5: In Exercises S5S10, solve for 4 = 9
- 5.5.2.5: For Exercises 56, write the exponential function in the form = . Fi...
- 5.5: For Exercises 18, evaluate without a calculator. log 1log 105
- 5.5.1.S5: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S5: For Exercises S5S6, rewrite the logarithmic equation in equivalent ...
- 5.5.1.5: Rewrite the statements in Exercises 16 using exponents instead of l...
- 5.5.3.5: In Exercises 36, is the rate of change between two points on the gr...
- 5.5.4.S6: In Exercises S1S6, write the numbers in scientific notation.
- 5.5.4.6: In Exercises 611, say where you would mark the given animal lifespa...
- 5.5.2.S6: In Exercises S5S10, solve for = 8
- 5.5.2.6: For Exercises 56, write the exponential function in the form = . Fi...
- 5.6: For Exercises 18, evaluate without a calculator. ln 3 ln
- 5.5.1.S6: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S6: For Exercises S5S6, rewrite the logarithmic equation in equivalent ...
- 5.5.1.6: Rewrite the statements in Exercises 16 using exponents instead of l...
- 5.5.3.6: In Exercises 36, is the rate of change between two points on the gr...
- 5.5.4.S7: In Exercises S7S10, without a calculator, determine between which t...
- 5.5.4.7: In Exercises 611, say where you would mark the given animal lifespa...
- 5.5.2.S7: In Exercises S5S10, solve for . 2 = 13
- 5.5.2.7: In Exercises 710, convert to the form = . = 12(0.9)
- 5.7: For Exercises 18, evaluate without a calculator. log 10,000
- 5.5.1.S7: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S7: For Exercises S7S8, if possible, write the expression using sums an...
- 5.5.1.7: Rewrite the statements in Exercises 710 using logs. 108 = 100,000,000
- 5.5.3.7: Without a calculator, match the functions = 10, = , = log , = ln wi...
- 5.5.4.S8: In Exercises S7S10, without a calculator, determine between which t...
- 5.5.4.8: In Exercises 611, say where you would mark the given animal lifespa...
- 5.5.2.S8: In Exercises S5S10, solve for 7 = 53
- 5.5.2.8: In Exercises 710, convert to the form = . = 16(0.487)
- 5.8: For Exercises 18, evaluate without a calculator. 10log 7
- 5.5.1.S8: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S8: For Exercises S7S8, if possible, write the expression using sums an...
- 5.5.1.8: Rewrite the statements in Exercises 710 using logs. . 4 = 0.0183
- 5.5.3.8: Without a calculator, match the functions = 2, = , = 3, = ln , = lo...
- 5.5.4.S9: In Exercises S7S10, without a calculator, determine between which t...
- 5.5.4.9: In Exercises 611, say where you would mark the given animal lifespa...
- 5.5.2.S9: In Exercises S5S10, solve for log(2 + 7) = 2
- 5.5.2.9: In Exercises 710, convert to the form = . = 14(0.862)1.4
- 5.9: For Exercises 912, rewrite the exponential equation in equivalent l...
- 5.5.1.S9: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S9: For Exercises S9S10, rewrite the expression as a single logarithm. ...
- 5.5.1.9: Rewrite the statements in Exercises 710 using logs. 10 =
- 5.5.3.9: What is the equation of the asymptote of the graph of = 10? Of the ...
- 5.5.4.S10: In Exercises S7S10, without a calculator, determine between which t...
- 5.5.4.10: In Exercises 611, say where you would mark the given animal lifespa...
- 5.5.2.S10: In Exercises S5S10, solve for log(2) = log( + 10)
- 5.5.2.10: In Exercises 710, convert to the form = . = 721(0.98)0.7
- 5.10: For Exercises 912, rewrite the exponential equation in equivalent l...
- 5.5.1.S10: Without using logs or a calculator, solve the equations in Exercise...
- 5.5.3.S10: For Exercises S9S10, rewrite the expression as a single logarithm. ...
- 5.5.1.10: Rewrite the statements in Exercises 710 using logs. =
- 5.5.3.10: What is the equation for the asymptote of the graph of = ? Of the g...
- 5.5.4.11: In Exercises 611, say where you would mark the given animal lifespa...
- 5.5.2.11: For Exercises 1112, write the exponential function in the form = . ...
- 5.11: For Exercises 912, rewrite the exponential equation in equivalent l...
- 5.5.1.11: In Exercises 1128, evaluate without a calculator. log 1000
- 5.5.3.11: Graph the functions in Exercises 1114. Label all asymptotes and int...
- 5.5.4.12: For the tables in Exercises 1214, (a) Use linear regression to find...
- 5.5.2.12: For Exercises 1112, write the exponential function in the form = . ...
- 5.12: For Exercises 912, rewrite the exponential equation in equivalent l...
- 5.5.1.12: In Exercises 1128, evaluate without a calculator. 2. log 1000
- 5.5.3.12: Graph the functions in Exercises 1114. Label all asymptotes and int...
- 5.5.4.13: For the tables in Exercises 1214, (a) Use linear regression to find...
- 5.5.2.13: In Exercises 1320, give the starting value , the growth rate , and ...
- 5.13: For Exercises 1315, rewrite the logarithmic equation in equivalent ...
- 5.5.1.13: In Exercises 1128, evaluate without a calculator. log 1
- 5.5.3.13: Graph the functions in Exercises 1114. Label all asymptotes and int...
- 5.5.4.14: For the tables in Exercises 1214, (a) Use linear regression to find...
- 5.5.2.14: In Exercises 1320, give the starting value , the growth rate , and ...
- 5.14: For Exercises 1315, rewrite the logarithmic equation in equivalent ...
- 5.5.1.14: In Exercises 1128, evaluate without a calculator. log 0.1
- 5.5.3.14: Graph the functions in Exercises 1114. Label all asymptotes and int...
- 5.5.4.15: The signing of the Declaration of Independence is marked on the log...
- 5.5.2.15: In Exercises 1320, give the starting value , the growth rate , and ...
- 5.15: For Exercises 1315, rewrite the logarithmic equation in equivalent ...
- 5.5.1.15: In Exercises 1128, evaluate without a calculator. log (100)
- 5.5.3.15: In Exercises 1516, graph the function. Identify any vertical asympt...
- 5.5.4.16: Figure 5.32 shows the prices of seven different items, with the sca...
- 5.5.2.16: In Exercises 1320, give the starting value , the growth rate , and ...
- 5.16: For Exercises 1624, if possible, write the expression using sums an...
- 5.5.1.16: In Exercises 1128, evaluate without a calculator. log 10
- 5.5.3.16: In Exercises 1516, graph the function. Identify any vertical asympt...
- 5.5.4.17: (a) Draw a line segment about 5 inches long. On it, choose an appro...
- 5.5.2.17: In Exercises 1320, give the starting value , the growth rate , and ...
- 5.17: For Exercises 1624, if possible, write the expression using sums an...
- 5.5.1.17: In Exercises 1128, evaluate without a calculator. log (105)
- 5.5.3.17: In Exercises 1721, find the hydrogen ion concentration, [+], for th...
- 5.5.4.18: The usual distances for track (running) events are 100 meters, 200 ...
- 5.5.2.18: In Exercises 1320, give the starting value , the growth rate , and ...
- 5.18: For Exercises 1624, if possible, write the expression using sums an...
- 5.5.1.18: In Exercises 1128, evaluate without a calculator. log (102)
- 5.5.3.18: In Exercises 1721, find the hydrogen ion concentration, [+], for th...
- 5.5.4.19: Microfinance refers to financial services, such as loans, offered t...
- 5.5.2.19: In Exercises 1320, give the starting value , the growth rate , and ...
- 5.19: For Exercises 1624, if possible, write the expression using sums an...
- 5.5.1.19: In Exercises 1128, evaluate without a calculator. 10log 100
- 5.5.3.19: In Exercises 1721, find the hydrogen ion concentration, [+], for th...
- 5.5.4.20: Table 5.13 shows the numbers of deaths in 2010 due to various cause...
- 5.5.2.20: In Exercises 1320, give the starting value , the growth rate , and ...
- 5.20: For Exercises 1624, if possible, write the expression using sums an...
- 5.5.1.20: In Exercises 1128, evaluate without a calculator. 10log 1
- 5.5.3.20: In Exercises 1721, find the hydrogen ion concentration, [+], for th...
- 5.5.4.21: Table 5.14 shows the dollar value of some items in 2012. Plot and l...
- 5.5.2.21: Find the doubling time in Exercises 2124. A bank account is growing...
- 5.21: For Exercises 1624, if possible, write the expression using sums an...
- 5.5.1.21: In Exercises 1128, evaluate without a calculator. 10log (0.01)
- 5.5.3.21: In Exercises 1721, find the hydrogen ion concentration, [+], for th...
- 5.5.4.22: Table 5.15 shows the sizes of various organisms. Plot and label the...
- 5.5.2.22: Find the doubling time in Exercises 2124. A population is growing a...
- 5.22: For Exercises 1624, if possible, write the expression using sums an...
- 5.5.1.22: In Exercises 1128, evaluate without a calculator. ln 1
- 5.5.3.22: What is the value (if any) of the following? (a) 10 as (b) log as 0+
- 5.5.4.23: (a) Complete Table 5.16 with values of = 3. (b) Complete Table 5.17...
- 5.5.2.23: Find the doubling time in Exercises 2124. The population of a city ...
- 5.23: For Exercises 1624, if possible, write the expression using sums an...
- 5.5.1.23: In Exercises 1128, evaluate without a calculator. ln 0
- 5.5.3.23: What is the value (if any) of the following? (a) as (b) ln as 0+
- 5.5.4.24: Repeat part (b) and (c) of using the natural log function. Is your ...
- 5.5.2.24: Find the doubling time in Exercises 2124. A companys profits are in...
- 5.24: For Exercises 1624, if possible, write the expression using sums an...
- 5.5.1.24: In Exercises 1128, evaluate without a calculator. ln 5
- 5.5.3.24: Immediately following the gold medal performance of the US womens g...
- 5.5.4.25: (a) Plot the data in Table 5.18. (b) What kind of function might th...
- 5.5.2.25: Find the doubling time in Exercises 2124. Einsteinium-253, which de...
- 5.25: For Exercises 2531, rewrite the expression as a single logarithm. l...
- 5.5.1.25: In Exercises 1128, evaluate without a calculator. . ln
- 5.5.3.25: Match the graphs (a)(c) to one of the functions (), (), () whose va...
- 5.5.4.26: Table 5.19 shows the value, , of US imports from China with in year...
- 5.5.2.26: Find the doubling time in Exercises 2124. Tritium, which decays at ...
- 5.26: For Exercises 2531, rewrite the expression as a single logarithm. l...
- 5.5.1.26: In Exercises 1128, evaluate without a calculator. ln 2
- 5.5.3.26: In 2631, find possible formulas for the functions using logs or exp...
- 5.5.4.27: Table 5.20 shows newspapers share of the expenditure of national ad...
- 5.5.2.27: Find the doubling time in Exercises 2124. A radioactive substance t...
- 5.27: For Exercises 2531, rewrite the expression as a single logarithm. 1...
- 5.5.1.27: In Exercises 1128, evaluate without a calculator. log (110 )
- 5.5.3.27: In 2631, find possible formulas for the functions using logs or exp...
- 5.5.4.28: To study how recognition memory decreases with time, the following ...
- 5.5.2.28: A population grows from 11000 to 13000 in three years. Assuming the...
- 5.28: For Exercises 2531, rewrite the expression as a single logarithm. l...
- 5.5.1.28: In Exercises 1128, evaluate without a calculator. ln (1)
- 5.5.3.28: In 2631, find possible formulas for the functions using logs or exp...
- 5.5.4.29: Table 5.22 gives the length (in cm) and weight (in gm) of 16 differ...
- 5.5.2.29: A population doubles in size every 15 years. Assuming exponential g...
- 5.29: For Exercises 2531, rewrite the expression as a single logarithm. 3...
- 5.5.1.29: Solve the equations in Exercises 2934 using logs. 2 = 11
- 5.5.3.29: In 2631, find possible formulas for the functions using logs or exp...
- 5.5.4.30: A light, flashing regularly, consists of cycles, each cycle having ...
- 5.5.2.30: A population increases from 5.2 million at an annual rate of 3.1%. ...
- 5.30: For Exercises 2531, rewrite the expression as a single logarithm. l...
- 5.5.1.30: Solve the equations in Exercises 2934 using logs. (1.45) = 25
- 5.5.3.30: In 2631, find possible formulas for the functions using logs or exp...
- 5.5.2.31: You place $800 in an account that earns 4% annual interest, compoun...
- 5.31: For Exercises 2531, rewrite the expression as a single logarithm. 2...
- 5.5.1.31: Solve the equations in Exercises 2934 using logs. 0.12 = 100
- 5.5.3.31: In 2631, find possible formulas for the functions using logs or exp...
- 5.5.2.32: A $5000 investment earns 7.2% annual interest, and an $8000 investm...
- 5.32: For Exercises 3239, simplify the expression if possible. 2 ln
- 5.5.1.32: Solve the equations in Exercises 2934 using logs. 10 = 22(0.87)
- 5.5.3.32: Match the statements (a)(d) with one or more of the functions (I)(I...
- 5.5.2.33: A $9000 investment earns 5.6% annual interest, and a $4000 investme...
- 5.33: For Exercises 3239, simplify the expression if possible. log(2 + 2)
- 5.5.1.33: Solve the equations in Exercises 2934 using logs. 48 = 17(2.3)
- 5.5.3.33: Match the statements (a)(d) with one or more of the functions (I)(I...
- 5.5.2.34: (a) What annual interest rate, compounded continuously, is equivale...
- 5.34: For Exercises 3239, simplify the expression if possible. log 10 log
- 5.5.1.34: Solve the equations in Exercises 2934 using logs. . 27 = (0.6)2
- 5.5.3.34: Table 5.5 gives values for a function (). (a) Calculate the rate of...
- 5.5.2.35: If 17% of a radioactive substance decays in 5 hours, what is the ha...
- 5.35: For Exercises 3239, simplify the expression if possible. 2 ln 2 + ln 4
- 5.5.1.35: Express the following in terms of without logs. (a) log 100 (b) 100...
- 5.5.3.35: Let () = ln . (a) Calculate the rate of change of () over the follo...
- 5.5.2.36: The half-life of nicotine in the body is 2 hours. What is the conti...
- 5.36: For Exercises 3239, simplify the expression if possible. ln 2 + 16
- 5.5.1.36: Express the following in terms of without natural logs. (a) ln 2 (b...
- 5.5.3.36: (a) Calculate the rate of change of log over the interval 10 100. (...
- 5.5.2.37: Sketch the exponential function = () given that it has a starting v...
- 5.37: For Exercises 3239, simplify the expression if possible. log 1002
- 5.5.1.37: Evaluate the following pairs of expressions without using a calcula...
- 5.5.3.37: (a) Using the definition of pH on page 205, find the concentrations...
- 5.5.2.38: Total power generated by wind worldwide doubles every 3 years.3 In ...
- 5.38: For Exercises 3239, simplify the expression if possible. ln ln 2
- 5.5.1.38: (a) Write the general formulas reflected in what you observed in 37...
- 5.5.3.38: In an interview an oceanographer states that the seawater off the c...
- 5.5.2.39: A town has 5000 people in year = 0. Calculate how long it takes for...
- 5.39: For Exercises 3239, simplify the expression if possible. ln 1 + 1
- 5.5.1.39: In 3944, is the statement true or false? log = log + log
- 5.5.3.39: The hydrogen ion concentration of a stream with a population of rai...
- 5.5.2.40: (a) Find the time required for an investment to triple in value if ...
- 5.40: For Exercises 4045, solve for using logarithms. 12 = 7
- 5.5.1.40: In 3944, is the statement true or false? log log = log
- 5.5.3.40: (a) A 12-oz cup of coffee contains about 2.41 1018 hydrogen ions. W...
- 5.5.2.41: (a) Estimate the doubling time of the exponential function shown in...
- 5.41: For Exercises 4045, solve for using logarithms. 3 5 = 9
- 5.5.1.41: In 3944, is the statement true or false? log log = log + log
- 5.5.3.41: (a) The pH of lime juice is about 2.3. What is the concentration of...
- 5.5.2.42: (a) The quantity of caffeine in the body after drinking a cup of co...
- 5.42: For Exercises 4045, solve for using logarithms. 4 133 = 17
- 5.5.1.42: In 3944, is the statement true or false? . log = log
- 5.5.3.42: A biology book9 has the diagram in Figure 5.15 showing the relation...
- 5.5.2.43: The temperature, , in F, of a cup of coffee hours after it is set o...
- 5.43: For Exercises 4045, solve for using logarithms. 5 = 9
- 5.5.1.43: In 3944, is the statement true or false? log = 12 log
- 5.5.3.43: In 4347, sound in decibels is measured by comparing the sound inten...
- 5.5.2.44: Use algebra to show that the time it takes for a quantity growing e...
- 5.44: For Exercises 4045, solve for using logarithms. 125 = 3 152
- 5.5.1.44: In 3944, is the statement true or false? log = log(12)
- 5.5.3.44: In 4347, sound in decibels is measured by comparing the sound inten...
- 5.5.2.45: Prices climb at a constant 3% annual rate. (a) By what percent will...
- 5.45: For Exercises 4045, solve for using logarithms. 196 = 77 74
- 5.5.1.45: In 4550, use properties of logarithms to find a value for . Assume ...
- 5.5.3.45: In 4347, sound in decibels is measured by comparing the sound inten...
- 5.5.2.46: The growth of an animal population, , is described by the function ...
- 5.46: In Exercises 4649, solve for . 3 log(4 + 9) 6 = 2
- 5.5.1.46: In 4550, use properties of logarithms to find a value for . Assume ...
- 5.5.3.46: In 4347, sound in decibels is measured by comparing the sound inten...
- 5.5.2.47: The population of a Midwestern city starts with 25,000 people in Ja...
- 5.47: In Exercises 4649, solve for . 4 log(9 + 17) 5 = 1
- 5.5.1.47: In 4550, use properties of logarithms to find a value for . Assume ...
- 5.5.3.47: In 4347, sound in decibels is measured by comparing the sound inten...
- 5.5.3.48: 4851 use the Richter scale for the strength of an earthquake. The s...
- 5.5.2.48: The worlds population is aging. The approximate world population ag...
- 5.48: In Exercises 4649, solve for . ln(3 + 4) = 5
- 5.5.1.48: In 4550, use properties of logarithms to find a value for . Assume ...
- 5.5.3.49: 4851 use the Richter scale for the strength of an earthquake. The s...
- 5.5.2.49: The US census5 projects the population of the state of Washington u...
- 5.49: In Exercises 4649, solve for . 2 ln(6 1) + 5 = 7
- 5.5.1.49: In 4550, use properties of logarithms to find a value for . Assume ...
- 5.5.3.50: 4851 use the Richter scale for the strength of an earthquake. The s...
- 5.5.2.50: Technetium-99m is a radioactive substance used to diagnose brain di...
- 5.50: What is the domain of = ln(2 6)?
- 5.5.1.50: In 4550, use properties of logarithms to find a value for . Assume ...
- 5.5.3.51: 4851 use the Richter scale for the strength of an earthquake. The s...
- 5.5.2.51: A manager at Saks Fifth Avenue wants to estimate the number of cust...
- 5.51: (a) Plot the data given by Table 5.24. What kind of function might ...
- 5.5.1.51: Let = log 2 and = log 3. Evaluate the following expressions in term...
- 5.5.3.52: Give the domain of = 1 2 7 2
- 5.5.2.52: In 1991, the body of a man was found in melting snow in the Alps of...
- 5.52: Radioactive carbon-14 decays according to the function () = 00.0001...
- 5.5.1.52: Without using a calculator, write the following quantities in terms...
- 5.5.3.53: Find (a) lim 0+ log (b) lim 0 ln()
- 5.5.2.53: Figure 5.8 shows the graphs of the exponential functions and , and ...
- 5.53: Suppose 2 mg of a drug is injected into a persons bloodstream. As t...
- 5.5.1.53: A graph of = 25(1.075) is given in Figure 5.1. (a) What is the init...
- 5.5.3.54: Match the statements (a)(d) with the functions (I)(IV). (a) lim 0+ ...
- 5.5.2.54: A persons blood alcohol content (BAC) is a measure of how much alco...
- 5.54: A rubber ball is dropped onto a hard surface from a height of 6 fee...
- 5.5.1.54: A graph of = 100.15 is given in Figure 5.2. (a) What is the initial...
- 5.5.2.55: The size of a population, , of toads years after it is introduced i...
- 5.55: Oil leaks from a tank. At hour = 0 there are 250 gallons of oil in ...
- 5.5.1.55: Find a possible formula for the exponential function in Figure 5.3,...
- 5.5.1.56: Find a possible formula for the exponential function in Figure 5.4,...
- 5.5.2.56: Use the Rule of 70 to estimate how long it takes a $1000 investment...
- 5.56: Before the advent of computers, logarithms were calculated by hand....
- 5.5.1.57: In 5776, solve the equations exactly for or . 3(1.081) = 14
- 5.5.2.57: Using natural logs, solve for the doubling time for = . Use your re...
- 5.57: A googol is the number 1 followed by 100 zeros, or 10100. A googolp...
- 5.5.1.58: In 5776, solve the equations exactly for or . 84(0.74) = 38
- 5.5.2.58: A food chain connects groups of living beings that feed on each oth...
- 5.58: Since = 2.718 we know that 2 << 3, which means that 22 < 2 < 32. Wi...
- 5.5.1.59: In 5776, solve the equations exactly for or . 400.2 = 12
- 5.5.2.59: Find values for , , , where () = = = 2 , given that (20) = 5 and (4...
- 5.59: Simplify the expression 1000 1 12 log . Your answer should be exact...
- 5.5.1.60: In 5776, solve the equations exactly for or . 200 25 = 355.
- 5.5.2.60: Write the exponential function = in the form = (0) . Give and 0 in ...
- 5.5.1.61: In 5776, solve the equations exactly for or . 6000 (12)15= 1000
- 5.5.2.61: Gompertz functions can be used to model population growth.6 Solve (...
- 5.5.1.62: In 5776, solve the equations exactly for or . +4 = 10
- 5.5.2.62: (a) Rewrite the equation 23 (1.36) = 85 in the form + = . State the...
- 5.5.1.63: In 5776, solve the equations exactly for or . +5 = 7 2
- 5.5.2.63: (a) Rewrite the equation 1.12 = 6.3 in the form 10 = 10. State the ...
- 5.5.1.64: In 5776, solve the equations exactly for or . 1002+3 = 3 10,000
- 5.5.1.65: In 5776, solve the equations exactly for or . 3+4 = 10
- 5.5.1.66: In 5776, solve the equations exactly for or . 0.4( 13)3 = 7 2
- 5.5.1.67: In 5776, solve the equations exactly for or . log(105+1)=2
- 5.5.1.68: In 5776, solve the equations exactly for or . 4000.1 = 5000.08
- 5.5.1.69: In 5776, solve the equations exactly for or . . 584+1 = 30
- 5.5.1.70: In 5776, solve the equations exactly for or . =
- 5.5.1.71: In 5776, solve the equations exactly for or . =
- 5.5.1.72: In 5776, solve the equations exactly for or . 0 = 0
- 5.5.1.73: In 5776, solve the equations exactly for or . log(2 + 5) log(92)=0
- 5.5.1.74: In 5776, solve the equations exactly for or . log(1 ) log(1 + )=2
- 5.5.1.75: In 5776, solve the equations exactly for or . ln(2 + 3) ln 2 = 0
- 5.5.1.76: In 5776, solve the equations exactly for or . log 2 + log 3log(100)= 3
- 5.5.1.77: Solve each of the following equations exactly for . (a) 2 + 2 = 1 (...
- 5.5.1.78: If we square a positive quantity , we double its log: log ( 2) = 2 ...
- 5.5.1.79: Because they are so large, it is impossible to compare directly the...
- 5.5.1.80: Both of these numbers are slightly larger than 1: = 5347 and = 7532...
- 5.5.1.81: Consider the exponential function = . Letting = ln, show that is a ...
- 5.5.1.82: The arithmetic mean of two numbers is half their sum, and the geome...
Solutions for Chapter 5: 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 5
23
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This 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 5 includes 328 full step-by-step solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9781118583197. Since 328 problems in chapter 5 have been answered, more than 92205 students have viewed full step-by-step solutions from this chapter.
Key Calculus Terms and definitions covered in this textbook
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Arccotangent function
See Inverse cotangent function.
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Continuous function
A function that is continuous on its entire domain
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Convergence of a sequence
A sequence {an} converges to a if limn: q an = a
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Direction of an arrow
The angle the arrow makes with the positive x-axis
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Double-angle identity
An identity involving a trigonometric function of 2u
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Elimination method
A method of solving a system of linear equations
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Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.
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Horizontal asymptote
The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b
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Imaginary part of a complex number
See Complex number.
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Intercept
Point where a curve crosses the x-, y-, or z-axis in a graph.
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Leibniz notation
The notation dy/dx for the derivative of ƒ.
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Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.
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Period
See Periodic function.
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Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data
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Standard deviation
A measure of how a data set is spread
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Stem
The initial digit or digits of a number in a stemplot.
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Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.
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Transformation
A function that maps real numbers to real numbers.
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Translation
See Horizontal translation, Vertical translation.
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Unit vector
Vector of length 1.