CALCULUS -W/ACCESS8th EditionStewart Publisher: CENGAGE LISBN: 9781305779075
CALCULUS -W/ACCESS
Solutions for CALCULUS -W/ACCESS
Problem 1E:
If f(x)=x+2x and g(u)=u+2u, is it true that f=g?Problem 2E:
If f(x)=x2xx1 and g(x)=x is it true that f=g?Problem 3E:
The graph of a function f is given a State the value of f(1). b Estimate the value of f(1). c For...Problem 4E:
The graphs of f and g are given. a State the values of f(4) and g(3). b For what values of x is...Problem 5E:
Figure 1 was recorded by an instrument operated by the California Department of Mines and Geology at...Problem 6E:
In this section we discussed examples of ordinary, everyday functions: Population is a function of...Problem 7E:
Determine whether the curve is the graph of a function of x. If it is, state the domain and range of...Problem 8E:
Determine whether the curve is the graph of a function of x. If it is, state the domain and range of...Problem 9E:
Determine whether the curve is the graph of a function of x. If it is, state the domain and range of...Problem 10E:
Determine whether the curve is the graph of a function of x. If it is, state the domain and range of...Problem 11E:
Shown is a graph of the global average temperature T during the 20th century. Estimate the...Problem 12E:
Trees grow faster and form wider rings in warm years and grow more slowly and form narrower rings in...Problem 13E:
You put some ice cubes in a glass, fill the glass with cold water, and then let the glass sit on a...Problem 14E:
Three runners compete in a 100-meter race. The graph depicts the distance run as a function of time...Problem 15E:
The graph shows the power consumption for a day in September in San Francisco. P is measured in...Problem 16E:
Sketch a rough graph of the number of hours of daylight as a function of the time of year.Problem 17E:
Sketch a rough graph of the outdoor temperature as a function of time during a typical spring day.Problem 18E:
Sketch a rough graph of the market value of a new car as a function of time for a period of 20...Problem 19E:
Sketch the graph of the amount of a particular brand of coffee sold by a store as a function of the...Problem 20E:
You place a frozen pie in an oven and bake it for an hour. Then you take it out and let it cool...Problem 21E:
A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass...Problem 22E:
An airplane takes off from an airport and lands an hour later at another airport, 400 miles away. If...Problem 23E:
Temperature readings Tin F were recorded every two hours from midnight to 2:00 pm in Atlanta on June...Problem 24E:
Researchers measured the blood alcohol concentration BAC of eight adult male subjects after rapid...Problem 26E:
A spherical balloon with radius r inches has volume V(r)=43r3. Find a function that represents the...Problem 27E:
Evaluate the difference quotient for the given function. Simplify your answer. f(x)=4+3xx2,...Problem 29E:
Evaluate the difference quotient for the given function. Simplify your answer. f(x)=1x, f(x)f(a)xaProblem 31E:
Find the domain of the function. f(x)=x+4x29Problem 32E:
Find the domain of the function. f(x)=2x35x2+x6Problem 37E:
Find the domain of the function. F(p)=2pProblem 41E:
Evaluate f(3),f(0), and f(2) for the piecewise defined function. Then sketch the graph of the...Problem 42E:
Evaluate f(3),f(0), and f(2) for the piecewise defined function. Then sketch the graph of the...Problem 44E:
Evaluate f(3),f(0), and f(2) for the piecewise defined function. Then sketch the graph of the...Problem 45E:
Sketch the graph of the function. f(x)=x+|x|Problem 46E:
Sketch the graph of the function. f(x)=|x+2|Problem 47E:
Sketch the graph of the function. g(t)=|13t|Problem 48E:
Sketch the graph of the function. h(t)=|t|+|t+1|Problem 51E:
Find an expression for the function whose graph is the given curve. The line segment joining the...Problem 53E:
Find an expression for the function whose graph is the given curve. The bottom half of the parabola...Problem 58E:
Find a formula for the described function and state its domain. A rectangle has area 16m2. Express...Problem 59E:
Find a formula for the described function and state its domain. Express the area of an equilateral...Problem 60E:
Find a formula for the described function and state its domain. A closed rectangular box with volume...Problem 62E:
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the...Problem 63E:
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12...Problem 64E:
A cell phone plan has a basic charge of 35 a month. The plan includes 400 free minutes and charges...Problem 65E:
In a certain state the maximum speed permitted on freeways is 65 mi/h and the minimum speed is 40...Problem 66E:
An electricity company charges its customers a base rate of 10 a month, plus 6 cents per...Problem 67E:
In a certain country, income tax is assessed as follows. There is no tax on income up to 10, 000....Problem 69E:
Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your...Problem 70E:
Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your...Problem 71E:
a If the point (5,3) is on the graph of an even function, what other point must also be on the...Problem 72E:
A function f has domain [5,5] and a portion of its graph is shown. a Complete the graph of f if it...Problem 74E:
Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check...Problem 75E:
Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check...Browse All Chapters of This Textbook
Chapter 1.1 - Four Ways To Represent A FunctionChapter 1.2 - Mathematical Models: A Catalog Of Essential FunctionsChapter 1.3 - New Functions From Old FunctionsChapter 1.4 - The Tangent And Velocity ProblemsChapter 1.5 - The Limit Of A FunctionChapter 1.6 - Calculating Limits Using The Limit LawsChapter 1.7 - The Precise Definition Of A LimitChapter 1.8 - ContinuityChapter 1.R - ReviewChapter 1.PPS - Principles Of Problem Solving
Chapter 2.1 - Derivatives And Rates Of ChangeChapter 2.2 - The Derivative As A FunctionChapter 2.3 - Differentiation FormulasChapter 2.4 - Derivatives Of Trigonometric FunctionsChapter 2.5 - The Chain RuleChapter 2.6 - Implicit DifferentiationChapter 2.7 - Rates Of Change In The Natural And Social SciencesChapter 2.8 - Related RatesChapter 2.9 - Linear Approximations And DifferentialsChapter 2.R - ReviewChapter 2.P - Problem PlusChapter 3.1 - Maximum And Minimum ValuesChapter 3.2 - The Mean Value TheoremChapter 3.3 - How Derivatives Affect The Shape Of A GraphChapter 3.4 - Limits At Infinity; Horizontal AsymptotesChapter 3.5 - Summary Of Curve SketchingChapter 3.6 - Graphing With Calculus And CalculatorsChapter 3.7 - Optimization ProblemsChapter 3.8 - Newton's MethodChapter 3.9 - AntiderivativesChapter 3.R - ReviewChapter 3.P - Problem PlusChapter 4.1 - Areas And DistancesChapter 4.2 - The Definite IntegralChapter 4.3 - The Fundamental Theorem Of CalculusChapter 4.4 - Indefinite Integrals And The Net Change TheoremChapter 4.5 - The Substitution RuleChapter 4.R - ReviewChapter 4.P - Problem PlusChapter 5.1 - Areas Between CurvesChapter 5.2 - VolumesChapter 5.3 - Volumes By Cylindrical ShellsChapter 5.4 - WorkChapter 5.5 - Average Value Of A FunctionChapter 5.R - ReviewChapter 5.P - Problem PlusChapter 6.1 - Inverse FunctionsChapter 6.2 - Exponential Functions And Their DerivativesChapter 6.3 - Logarithmic FunctionsChapter 6.4 - Derivatives Of Logarithmic FunctionsChapter 6.2Star - The Natural Logarithmic FunctionChapter 6.3Star - The Natural Exponential FunctionChapter 6.4Star - General Logarithmic And Exponential FunctionsChapter 6.5 - Exponential Growth And DecayChapter 6.6 - Inverse Trigonometric FunctionsChapter 6.7 - Hyperbolic FunctionsChapter 6.8 - Indeterminate Forms And I'hospital's RuleChapter 6.R - ReviewChapter 6.P - Problem PlusChapter 7.1 - Integration By PartsChapter 7.2 - Trigonometric IntegralsChapter 7.3 - Trigonometric SubstitutionChapter 7.4 - Integration Of Rational Functions By Partial FractionsChapter 7.5 - Strategy For IntegrationChapter 7.6 - Integration Using Tables And Computer Algebra SystemsChapter 7.7 - Approximate IntegrationChapter 7.8 - Improper IntegralsChapter 7.R - ReviewChapter 7.P - Problem PlusChapter 8.1 - Arc LengthChapter 8.2 - Area Of A Surface Of RevolutionChapter 8.3 - Applications To Physics And EngineeringChapter 8.4 - Applications To Economics And BiologyChapter 8.5 - ProbabilityChapter 8.R - ReviewChapter 8.P - Problem PlusChapter 9.1 - Modeling With Differential EquationsChapter 9.2 - Direction Fields And Euler’s MethodChapter 9.3 - Separable EquationsChapter 9.4 - Models For Population GrowthChapter 9.5 - Linear EquationsChapter 9.6 - Predator-prey SystemsChapter 9.R - ReviewChapter 9.P - Problem PlusChapter 10.1 - Curves Defined By Parametric EquationsChapter 10.2 - Calculus With Parametric CurvesChapter 10.3 - Polar CoordinatesChapter 10.4 - Areas And Lengths In Polar CoordinatesChapter 10.5 - Conic SectionsChapter 10.6 - Conic Sections In Polar CoordinatesChapter 10.R - ReviewChapter 10.P - Problem PlusChapter 11.1 - SequencesChapter 11.2 - SeriesChapter 11.3 - The Integral Test And Estimates Of SumsChapter 11.4 - The Comparison TestsChapter 11.5 - Alternating SeriesChapter 11.6 - Absolute Convergence And The Ratio And Root TestsChapter 11.7 - Strategy For Testing SeriesChapter 11.8 - Power SeriesChapter 11.9 - Representations Of Functions As Power SeriesChapter 11.10 - Taylor And Maclaurin SeriesChapter 11.11 - Applications Of Taylor PolynomialsChapter 11.R - ReviewChapter 11.P - Problem PlusChapter 12.1 - Three-dimensional Coordinate SystemsChapter 12.2 - VectorsChapter 12.3 - The Dot ProductChapter 12.4 - The Cross ProductChapter 12.5 - Equations Of Lines And PlanesChapter 12.6 - Cylinders And Quadric SurfacesChapter 12.R - ReviewChapter 12.P - Problem PlusChapter 13.1 - Vector Functions And Space CurvesChapter 13.2 - Derivatives And Integrals Of Vector FunctionsChapter 13.3 - Arc Length And CurvatureChapter 13.4 - Motion In Space: Velocity And AccelerationChapter 13.R - ReviewChapter 13.P - Problem PlusChapter 14.1 - Functions Of Several VariablesChapter 14.2 - Limits And ContinuityChapter 14.3 - Partial DerivativesChapter 14.4 - Tangent Planes And Linear ApproximationsChapter 14.5 - The Chain RuleChapter 14.6 - Directional Derivatives And The Gradient VectorChapter 14.7 - Maximum And Minimum ValuesChapter 14.8 - Lagrange MultipliersChapter 14.R - ReviewChapter 14.P - Problem PlusChapter 15.1 - Double Integrals Over RectanglesChapter 15.2 - Double Integrals Over General RegionsChapter 15.3 - Double Integrals In Polar CoordinatesChapter 15.4 - Applications Of Double IntegralsChapter 15.5 - Surface AreaChapter 15.6 - Triple IntegralsChapter 15.7 - Triple Integrals In Cylindrical CoordinatesChapter 15.8 - Triple Integrals In Spherical CoordinatesChapter 15.9 - Change Of Variables In Multiple IntegralsChapter 15.R - ReviewChapter 15.P - Problem PlusChapter 16.1 - Vector FieldsChapter 16.2 - Line IntegralsChapter 16.3 - The Fundamental Theorem For Line IntegralsChapter 16.4 - Green's TheoremChapter 16.5 - Curl And DivergenceChapter 16.6 - Parametric Surfaces And Their AreasChapter 16.7 - Surface IntegralsChapter 16.8 - Stokes' TheoremChapter 16.9 - The Divergence TheoremChapter 16.R - ReviewChapter 16.P - Problem PlusChapter 17.1 - Second-order Linear EquationsChapter 17.2 - Nonhomogeneous Linear EquationsChapter 17.3 - Applications Of Second-order Differential EquationsChapter 17.4 - Series SolutionsChapter 17.R - Review
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