Solutions for MAT 171 ACCESS CODE
Problem 1SP:
Graph the functions. a.fx=5xb.gx=15xProblem 2SP:
Graph. gx=2x+21Problem 4SP:
Suppose that $8000 is invested and pays 4.5% per year under the following compounding options. a....Problem 5SP:
Cesium-137 is a radioactive metal with a short half-life of 30 yr. In a sample originally having 2 g...Problem 1PE:
The function defined by y=x3 (is/is not) an exponential function, whereas the function defined by...Problem 4PE:
The domain of an exponential function fx=bxis.Problem 5PE:
The range of an exponential function fx=bxis.Problem 8PE:
As x, the value of 1+1xx approaches .Problem 9PE:
For Exercises 9-12, evaluate the functions the given values of x. Round to 4 decimal places if...Problem 10PE:
For Exercises 9-12, evaluate the functions the given values of x. Round to 4 decimal places if...Problem 11PE:
For Exercises 9-12, evaluate the functions the given values of x. Round to 4 decimal places if...Problem 12PE:
For Exercises 9-12, evaluate the functions the given values of x. Round to 4 decimal places if...Problem 13PE:
Which function are exponential functions? a.fx=4.2xb.gx=x4.2c.hx=4.2xd.kx=4.2xe.mx=4.2xProblem 15PE:
For Exercises 15-22, graph the functions and write the domain and range in interval notation. (See...Problem 16PE:
For Exercises 15-22, graph the functions and write the domain and range in interval notation. (See...Problem 17PE:
For Exercises 15-22, graph the functions and write the domain and range in interval notation. (See...Problem 18PE:
For Exercises 15-22, graph the functions and write the domain and range in interval notation. (See...Problem 19PE:
For Exercises 15-22, graph the functions and write the domain and range in interval notation. (See...Problem 20PE:
For Exercises 15-22, graph the functions and write the domain and range in interval notation. (See...Problem 21PE:
For Exercises 15-22, graph the functions and write the domain and range in interval notation. (See...Problem 22PE:
For Exercises 15-22, graph the functions and write the domain and range in interval notation. (See...Problem 23PE:
For Exercises 23-32, a. Use transformations of the graphs of y=3x (See Exercise 15) and y=4x (See...Problem 24PE:
For Exercises 23-32, a. Use transformations of the graphs of y=3x (See Exercise 15) and y=4x (See...Problem 25PE:
For Exercises 23-32, a. Use transformations of the graphs of y=3x (See Exercise 15) and y=4x (See...Problem 27PE:
For Exercises 23-32, a. Use transformations of the graphs of y=3x (See Exercise 15) and y=4x (See...Problem 28PE:
For Exercises 23-32, a. Use transformations of the graphs of y=3x (See Exercise 15) and y=4x (See...Problem 29PE:
For Exercises 23-32, a. Use transformations of the graphs of y=3x (See Exercise 15) and y=4x (See...Problem 30PE:
For Exercises 23-32, a. Use transformations of the graphs of y=3x (See Exercise 15) and y=4x (See...Problem 31PE:
For Exercises 23-32, a. Use transformations of the graphs of y=3x (See Exercise 15) and y=4x (See...Problem 32PE:
For Exercises 23-32, a. Use transformations of the graphs of y=3x (See Exercise 15) and y=4x (See...Problem 33PE:
For Exercises 33-36, a. Use transformations of the graphs of y=13x (See Exercise 17) and y=14x (See...Problem 34PE:
For Exercises 33-36, a. Use transformations of the graphs of y=13x (See Exercise 17) and y=14x (See...Problem 37PE:
For Exercises 37-38, evaluate the functions for the given values of x. Round to 4 decimal places....Problem 40PE:
For Exercises 39-44, a. Use transformations of the graph of y=ex to graph the given function. (See...Problem 41PE:
For Exercises 39-44, a. Use transformations of the graph of y=ex to graph the given function. (See...Problem 43PE:
For Exercises 39-44, a. Use transformations of the graph of y=ex to graph the given function. (See...Problem 44PE:
For Exercises 39-44, a. Use transformations of the graph of y=ex to graph the given function. (See...Problem 45PE:
For Exercises 45-46, complete the table to determine the effect of the number of compounding periods...Problem 46PE:
For Exercises 45-46, complete the table to determine the effect of the number of compounding periods...Problem 48PE:
For Exercises 47-48, suppose that P dollars in principal is invested for t years at the given...Problem 50PE:
Al needs to borrow $15,000 to buy a car. He can borrow the money at 6.7 simple interest for 5 yr or...Problem 51PE:
Jerome wants to invest $25,000 as part of his retirement plan. He can invest the money at 5.2 simple...Problem 52PE:
Heather wants to invest $35,000 of her retirement. She can invest at 4.8 simple interest for 20 yr,...Problem 53PE:
Strontium-90 90Sr is a by-product of nuclear fission with a half-life of approximately 28.9 yr....Problem 54PE:
In 2006, the murder of Alexander Litvinenko a Russian dissident, was through to be by poisoning from...Problem 55PE:
According to the CIA’s World Fact Book in 2010, the population of the United Stales was...Problem 56PE:
The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804 ....Problem 57PE:
The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)...Problem 58PE:
The function defined by At=100e0.0318t approximates the equivalent amount of money needed t years...Problem 59PE:
Newton's law of cooling Indicates that the temperature of a warm object, such as a cake coming out...Problem 60PE:
Newton's law of cooling Indicates that the temperature of a warm object, such as a cake coming out...Problem 61PE:
A farmer depreciates a $120,000 tractor. He estimates that the resale value Vtin$1000 of the tractor...Problem 62PE:
A veterinarian depreciates a $10,000 X-ray machine. He estimates that the resale value Vtin$ after t...Problem 63PE:
For Exercises 63-64, solve the equation in parts ac by inspection. Then estimate the solutions to...Problem 64PE:
For Exercises 63-64, solve the equation in parts ac by inspection. Then estimate the solutions to...Problem 65PE:
a. Graph fx=2x. (See Example 1) b. Is f a one-to-one function? c. Write the domain and range of f in...Problem 67PE:
Refer to the graphs of fx=2x and the inverse function, y=f1x from Exercise 65. Fill in the blanks....Problem 68PE:
Refer to the graphs of gx=3x and the inverse function, y=g1x from Exercise 65. Fill in the blanks....Problem 69PE:
Explain why the equation 2x=2 has no solution.Problem 70PE:
Explain why the fx=x2 is not an exponential function.Problem 74PE:
Factor. a.ex+hexb.e4xe2xProblem 75PE:
Multiply. ex+ex2Problem 76PE:
Multiply. exex2Problem 77PE:
Show that ex+ex22exex22=1.Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
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