EBK PRECALCULUS: MATHEMATICS FOR CALCUL7th EditionWatson Publisher: CENGAGE LEARNING - CONSIGNMENTISBN: 9781337431125
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
Solutions for EBK PRECALCULUS: MATHEMATICS FOR CALCUL
Problem 1E:
If f(x) = x3 + 1, then (a) the value of f at x = 1 is f(_____) = __________. (b) the value of f at x...Problem 2E:
For a function f, the set of all possible inputs is called the __________ of f, and the set of all...Problem 3E:
(a) Which of the following functions have 5 in their domain? f(x)=x23xg(x)=x5xh(x)=x10 (b) For the...Problem 4E:
A function is given algebraically by the formula f(x) = (x 4)2 + 3. Complete these other ways to...Problem 5E:
A function f is a rule that assigns to each element x in a set A exactly __________ element(s)...Problem 6E:
Yes or No? If No, give a reason. Let f be a function. (a) Is it possible that f(1) = 5 and f(2) = 5?...Problem 7E:
Function Notation Express the rule in function notation. (For example, the rule square, then...Problem 8E:
Function Notation Express the rule in function notation. (For example, the rule square, then...Problem 9E:
Function Notation Express the rule in function notation. (For example, the rule square, then...Problem 10E:
Function Notation Express the rule in function notation. (For example, the rule square, then...Problem 19E:
Evaluating Functions Evaluate the function at the indicated values. 19. f(x) = x2 6; f(3), f(3),...Problem 26E:
Evaluating Functions Evaluate the function at the indicated values. 26. g(t)=t+2t2; g(2), g(2),...Problem 28E:
Evaluating Functions Evaluate the function at the indicated values. 28. k(x) = 2x3 3x2; k(0), k(3),...Problem 29E:
Evaluating Functions Evaluate the function at the indicated values. 29. f(x) = 2 |x 1|; f(2), f(0),...Problem 31E:
Piecewise Defined Functions Evaluate the piecewise defined function at the indicated values. 31....Problem 40E:
Net Change Find the net change in the value of the function between the given inputs. 40. f(x) = 4 ...Problem 42E:
Net Change Find the net change in the value of the function between the given inputs. 42. h(t) = t2...Problem 43E:
Difference Quotient Find f(a), f(a + h), and the difference quotient, f(a+h)f(a)h, where h 0. 43....Problem 44E:
Difference Quotient Find f(a), f(a + h), and the difference quotient, f(a+h)f(a)h, where h 0. 44....Problem 48E:
Difference Quotient Find f(a), f(a + h), and the difference quotient, f(a+h)f(a)h, where h 0. 48....Problem 49E:
Difference Quotient Find f(a), f(a + h), and the difference quotient, f(a+h)f(a)h, where h 0. 49....Problem 55E:
Domain Find the domain of the function. 55. f(x)=1x3Problem 61E:
Domain Find the domain of the function. 61. f(t)=t13Problem 63E:
Domain Find the domain of the function. 63. f(x)=12xProblem 73E:
Four Ways to Represent a Function A verbal description of a function is given. Find (a) algebraic,...Problem 79E:
Torricellis Law A tank holds 50 gal of water, which drains from a leak at the bottom, causing the...Problem 81E:
Relativity According to the Theory of Relativity, the length L of an object is a function of its...Problem 83E:
Blood Flow As blood moves through a vein or an artery, its velocity v is greatest along the central...Problem 84E:
How Far Can You See? Because of the curvature of the earth, the maximum distance D that you can see...Problem 85E:
Income Tax In a certain country, income tax T is assessed according to the following function of...Problem 86E:
Internet Purchases An Internet bookstore charges 15 shipping for orders under 100 but provides free...Problem 87E:
Cost of a Hotel Stay A hotel chain charges 75 each night for the first two nights and 50 for each...Problem 88E:
Speeding Tickets In a certain state the maximum speed permitted on freeways is 65 mi/h, and the...Browse All Chapters of This Textbook
Chapter 1 - FundamentalsChapter 1.1 - Real NumbersChapter 1.2 - Exponents And RadicalsChapter 1.3 - Algebraic ExpressionsChapter 1.4 - Rational ExpressionsChapter 1.5 - EquationsChapter 1.6 - Complex NumbersChapter 1.7 - Modeling With EquationsChapter 1.8 - InequalitiesChapter 1.9 - The Coordinate Plane; Graphs Of Equations; Circles
Chapter 1.10 - LinesChapter 1.11 - Solving Equations And Inequalities GraphicallyChapter 1.12 - Modeling VariationChapter 2 - FunctionsChapter 2.1 - FunctionsChapter 2.2 - Graphs Of FunctionsChapter 2.3 - Getting Information From The Graph Of A FunctionChapter 2.4 - Average Rate Of Change Of A FunctionChapter 2.5 - Linear Functions And ModelsChapter 2.6 - Transformations Of FunctionsChapter 2.7 - Combining FunctionsChapter 2.8 - One-to-one Functions And Their InversesChapter 3 - Polynomial And Rational FunctionsChapter 3.1 - Quadratic Functions And ModelsChapter 3.2 - Polynomial Functions And Their GraphsChapter 3.3 - Dividing PolynomialsChapter 3.4 - Real Zeros Of PolynomialsChapter 3.5 - Complex Zeros And The Fundamental Theorem Of AlgebraChapter 3.6 - Rational FunctionsChapter 3.7 - Polynomial And Rational InequalitiesChapter 4 - Exponential And Logarithmic FunctionsChapter 4.1 - Exponential FunctionsChapter 4.2 - The Natural Exponential FunctionChapter 4.3 - Logarithmic FunctionsChapter 4.4 - Laws Of LogarithmsChapter 4.5 - Exponential And Logarithmic EquationsChapter 4.6 - Modeling With Exponential FunctionsChapter 4.7 - Logarithmic ScalesChapter 5 - Trigonometric Functions: Unit Circle ApproachChapter 5.1 - The Unit CircleChapter 5.2 - Trigonometric Functions Of Real NumbersChapter 5.3 - Trigonometric GraphsChapter 5.4 - More Trigonometric GraphsChapter 5.5 - Inverse Trigonometric Functions And Their GraphsChapter 5.6 - Modeling Harmonic MotionChapter 6 - Trigonometric Functions: Right Triangle ApproachChapter 6.1 - Angle MeasureChapter 6.2 - Trigonometry Of Right TrianglesChapter 6.3 - Trigonometric Functions Of AnglesChapter 6.4 - Inverse Trigonometric Functions And Right TrianglesChapter 6.5 - The Law Of SinesChapter 6.6 - The Law Of CosinesChapter 7 - Analytic TrigonometryChapter 7.1 - Trigonometric IdentitiesChapter 7.2 - Addition And Subtraction FormulasChapter 7.3 - Double-angle, Half-angle, And Product-sum FormulasChapter 7.4 - Basic Trigonometric EquationsChapter 7.5 - More Trigonometric EquationsChapter 8 - Polar Coordinates And Parametric EquationsChapter 8.1 - Polar CoordinatesChapter 8.2 - Graphs Of Polar EquationsChapter 8.3 - Polar Form Of Complex Numbers; De Moivre's TheoremChapter 8.4 - Plane Curves And Parametric EquationsChapter 9 - Vectors In Two And Three DimensionsChapter 9.1 - Vectors In Two DimensionsChapter 9.2 - The Dot ProductChapter 9.3 - Three-dimensional Coordinate GeometryChapter 9.4 - Vectors In Three DimensionsChapter 9.5 - The Cross ProductChapter 9.6 - Equations Of Lines And PlanesChapter 10 - Systems Of Equations And InequalitiesChapter 10.1 - Systems Of Linear Equations In Two VariablesChapter 10.2 - Systems Of Linear Equations In Several VariablesChapter 10.3 - Matrices And Systems Of Linear EquationsChapter 10.4 - The Algebra Of MatricesChapter 10.5 - Inverses Of Matrices And Matrix EquationsChapter 10.6 - Determinants And Cramer's RuleChapter 10.7 - Partial FractionsChapter 10.8 - Systems Of Nonlinear EquationsChapter 10.9 - Systems Of InequalitiesChapter 11 - Conic SectionsChapter 11.1 - ParabolasChapter 11.2 - EllipsesChapter 11.3 - HyperbolasChapter 11.4 - Shifted ConicsChapter 11.5 - Rotation Of AxesChapter 11.6 - Polar Equations Of ConicsChapter 12 - Sequences And SeriesChapter 12.1 - Sequences And Summation NotationChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric SequencesChapter 12.4 - Mathematics Of FinanceChapter 12.5 - Mathematical InductionChapter 12.6 - The Binomial TheoremChapter 13 - Limits: A Preview Of CalculusChapter 13.1 - Finding Limits Numerically And GraphicallyChapter 13.2 - Finding Limits AlgebraicallyChapter 13.3 - Tangent Lines And DerivativesChapter 13.4 - Limits At Infinity; Limits Of SequencesChapter 13.5 - Areas
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This bestselling author team explains concepts simply and clearly, without glossing over difficult points. Problem solving and mathematical modeling are introduced early and reinforced throughout, providing students with a solid foundation in the principl
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