CALCULUS: EARLY TRANSCENDENTALS9th EditionStewart Publisher: CENGAGE LISBN: 9780357375808
CALCULUS: EARLY TRANSCENDENTALS
Solutions for CALCULUS: EARLY TRANSCENDENTALS
Problem 2E:
If f(x)=x2xx1andg(x)=x is it true that f = g?Problem 3E:
The graph of a function g is given. State the values of g2,g0,g2, and g3 . For what value(s) of x is...Problem 4E:
The graphs of f and g are given. State the values of f4 and g3 . Which is larger, f3 or g3 ? For...Problem 5E:
Figure 1 was recorded by an instrument operated by the California Department of Mines and Geology at...Problem 15E:
Determine whether the curve is the graph of a function of x. If it is, state the domain and range of...Problem 16E:
Determine whether the curve is the graph of a function of x. If it is, state the domain and range of...Problem 17E:
Determine whether the curve is the graph of a function of x. If it is, state the domain and range of...Problem 18E:
Determine whether the curve is the graph of a function of x. If it is, state the domain and range of...Problem 19E:
Shown is a graph of the global average temperature T during the 20th century. Estimate the...Problem 20E:
Trees grow faster and form wider rings in warm years and grow more slowly and form narrower rings in...Problem 21E:
You put some ice cubes in a glass, fill the glass with cold water, and then let the glass sit on a...Problem 22E:
You place a frozen pie in an oven and bake it for an hour. Then you take it out and let it cool....Problem 23E:
The graph shows the power consumption for a day in September in San Francisco. (P is measured in...Problem 24E:
Three runners compete in a 100-meter race. The graph depicts the distance run as a function of time...Problem 25E:
Sketch a rough graph of the outdoor temperature as a function of time during a typical spring day.Problem 26E:
Sketch a rough graph of the number of hours of daylight as a function of the time of year.Problem 27E:
Sketch the graph of the amount of a particular brand of coffee sold by a store as a function of the...Problem 28E:
Sketch a rough graph of the market value of a new car as a function of time for a period of 20...Problem 29E:
A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass...Problem 30E:
An airplane takes off from an airport and lands an hour later at another airport, 400 miles away. If...Problem 31E:
Temperature readings T (in F ) were recorded every two hours from midnight to 2:00 PM in Atlanta on...Problem 32E:
Researchers measured the blood alcohol concentration (BAC) of eight adult male subjects after rapid...Problem 33E:
If f(x) = 3x2 x + 2, find f(2), f(2), f(a), f(a), f(a + 1), 2f(a), f(2a), f(a2), [f(a)]2, and f(a +...Problem 37E:
Evaluate the difference quotient for the given function. Simplify your answer. 29. f(x)=1x,...Problem 38E:
Evaluate the difference quotient for the given function. Simplify your answer. 30. f(x)=x+3x+1,...Problem 39E:
Find the domain of the function. 31. f(x)=x+4x29Problem 40E:
Find the domain of the function. 40. fx=x2+1x2+4x21Problem 41E:
Find the domain of the function. 33. f(t)=2t13Problem 42E:
Find the domain of the function. 34. g(t)=3t2+tProblem 43E:
Find the domain of the function. 35. h(x)=1x25x4Problem 44E:
Find the domain of the function. 36. f(u)=u+11+1u+1Problem 45E:
Find the domain of the function. 37. F(p)=2pProblem 49E:
Evaluate f3 , f0 , and f2 for the piecewise defined function. Then sketch the graph of the function....Problem 50E:
Evaluate f3 , f0 , and f2 for the piecewise defined function. Then sketch the graph of the function....Problem 51E:
Evaluate f(3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the...Problem 52E:
Evaluate f(3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the...Problem 53E:
Sketch the graph of the function. 45. f(x) = x + |x|Problem 54E:
Sketch the graph of the function. 46. f(x) = |x + 2|Problem 55E:
Sketch the graph of the function. 47. g(t) = |1 3t|Problem 58E:
Sketch the graph of the function. 50. g(x) = ||x| 1|Problem 60E:
Find a formula for the function whose graph is the given curve. 60. The line segment joining the...Problem 61E:
Find a formula for the function whose graph is the given curve. 61. The bottom half of the parabola...Problem 62E:
Find a formula for the function whose graph is the given curve. 62. The top half of the circle...Problem 65E:
Find a formula for the described function and state its domain. 57. A rectangle has perimeter 20 m....Problem 66E:
Find a formula for the described function and state its domain. 58. A rectangle has area 16 m2....Problem 67E:
Find a formula for the described function and state its domain. 59. Express the area of an...Problem 68E:
Find a formula for the described function and state its domain. 60. A closed rectangular box with...Problem 69E:
Find a formula for the described function and state its domain. 61. An open rectangular box with...Problem 70E:
Find a formula for the described function and state its domain. 70. A right circular cylinder has...Problem 71E:
A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12...Problem 72E:
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the...Problem 73E:
In a certain state the maximum speed permitted on freeways is 65 mi/h and the minimum speed is 40...Problem 74E:
An electricity company charges its customers a base rate of 10 a month, plus 6 cents per...Problem 75E:
In a certain country, income tax is assessed as follows. There is no tax on income up to10,000. Any...Problem 76E:
(a) If the point 5,3 is on the graph of an even function, what other point must also be on the...Problem 77E:
Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your...Problem 78E:
Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your...Problem 79E:
The graph of a function defined for x0 is given. Complete the graph for x0 to make (a) an even...Problem 81E:
Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check...Problem 82E:
Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check...Problem 83E:
Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check...Problem 84E:
Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check...Problem 85E:
Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check...Problem 86E:
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 - Functions And ModelsChapter 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 - Exponential FunctionsChapter 1.5 - Inverse Functions And LogarithmsChapter 2 - Limits And DerivativesChapter 2.1 - The Tangent And Velocity ProblemsChapter 2.2 - The Limit Of A FunctionChapter 2.3 - Calculating Limits Using The Limit Laws
Chapter 2.4 - The Precise Definition Of A LimitChapter 2.5 - ContinuityChapter 2.6 - Limits At Infinity; Horizontal AsymptotesChapter 2.7 - Derivatives And Rates Of ChangeChapter 2.8 - The Derivative As A FunctionChapter 3 - Differentiation RulesChapter 3.1 - Derivatives Of Polynomials And Exponential FunctionsChapter 3.2 - The Product And Quotient RulesChapter 3.3 - Derivatives Of Trigonometric FunctionsChapter 3.4 - The Chain RuleChapter 3.5 - Implicit DifferentiationChapter 3.6 - Derivatives Of Logarithmic And Inverse Trigonometric FunctionsChapter 3.7 - Rates Of Change In The Natural And Social SciencesChapter 3.8 - Exponential Growth And DecayChapter 3.9 - Related RatesChapter 3.10 - Linear Approximations And DifferentialsChapter 3.11 - Hyperbolic FunctionsChapter 4 - Applications Of DifferentiationChapter 4.1 - Maximum And Minimum ValuesChapter 4.2 - The Mean Value TheoremChapter 4.3 - What Derivatives Tell Us About The Shape Of A GraphChapter 4.4 - Indeterminate Forms And L'hospital's RuleChapter 4.5 - Summary Of Curve SketchingChapter 4.6 - Graphing With Calculus And TechnologyChapter 4.7 - Optimization ProblemsChapter 4.8 - Newton's MethodChapter 4.9 - AntiderivativesChapter 5 - IntegralsChapter 5.1 - The Area And Distance ProblemsChapter 5.2 - The Definite IntegralChapter 5.3 - The Fundamental Theorem Of CalculusChapter 5.4 - Indefinite Integrals And The Net Change TheoremChapter 5.5 - The Substitution RuleChapter 6 - Applications Of IntegrationChapter 6.1 - Areas Between CurvesChapter 6.2 - VolumesChapter 6.3 - Volumes By Cylindrical ShellsChapter 6.4 - WorkChapter 6.5 - Average Value Of A FunctionChapter 7 - Techniques Of IntegrationChapter 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 TechnologyChapter 7.7 - Approximate IntegrationChapter 7.8 - Improper IntegralsChapter 8 - Further Applications Of IntegrationChapter 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 9 - Differential EquationsChapter 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 10 - Parametric Equations And Polar CoordinatesChapter 10.1 - Curves Defined By Parametric EquationsChapter 10.2 - Calculus With Parametric CurvesChapter 10.3 - Polar CoordinatesChapter 10.4 - Calculus In Polar CoordinatesChapter 10.5 - Conic SectionsChapter 10.6 - Conic Sections In Polar CoordinatesChapter 11 - Sequences, Series, And Power SeriesChapter 11.1 - SequencesChapter 11.2 - SeriesChapter 11.3 - The Integral Test And Estimates Of SumsChapter 11.4 - The Comparison TestsChapter 11.5 - Alternating Series And Absolute ConvergenceChapter 11.6 - 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 12 - Vectors And The Geometry Of SpaceChapter 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 13 - Vector FunctionsChapter 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 14 - Partial DerivativesChapter 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 15 - Multiple IntegralsChapter 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 16 - Vector CalculusChapter 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 A - Numbers, Inequalities, And Absolute ValuesChapter B - Coordinate Geometry And LinesChapter C - Graphs Of Second-degree EquationsChapter D - TrigonometryChapter E - Sigma NotationChapter G - The Logarithm Defined As An Integral
Sample Solutions for this Textbook
We offer sample solutions for CALCULUS: EARLY TRANSCENDENTALS homework problems. See examples below:
Chapter 1, Problem 1CCChapter 2, Problem 1CCChapter 3, Problem 1CCChapter 4, Problem 1CCChapter 5, Problem 1CCChapter 6, Problem 1CCChapter 7, Problem 1CCChapter 8, Problem 1CCChapter 9, Problem 1CC
Chapter 10, Problem 1CCChapter 11, Problem 1CCChapter 12, Problem 1CCVector function: The vector function is a function whose range is a set of vectors and whose domain...Chapter 14, Problem 1CCGiven: The continuous function f is defined on a rectangle R=[a,b]×[c,d] . The double integral of f...Chapter 16, Problem 1CCGiven information: The given expression is 5−23 . Simplify the expression 5−23 as shown below:...Given: The given points are 1,1 and 4,5 . Formula used: If d is the distance between the points...Given: The center of the circle is 3,−1 and radius 5 . Concept used: The equation of the circle with...Given: The angle is 210° . Concept Used: The relation between degrees and radians is π Rad=180° ....Given information: The given sum is ∑i=15i . Write the sum ∑i=15i in the expanded form as shown...
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