Solutions for EBK PRECALCULUS: MATHEMATICS FOR CALCUL
Problem 1E:
Yes or No? If No, give a reason. (a) When you add the same number to each side of an equation, do...Problem 2E:
What is a logical first step in solving the equation? (a) (x + 5)2 = 64 (b) (x + 5)2 + 5 = 64 (c) x2...Problem 3E:
Explain how you would use each method to solve the equation x2 4x 5 = 0. (a) By factoring:...Problem 6E:
The equation (x + 1)2 5(x + 1) + 6 = 0 is __________ of type. To solve the equation, we set W =...Problem 7E:
To eliminate the denominators in the equation 3x+5x+2=2, we multiply each side by the lowest common...Problem 8E:
To eliminate the square root in the equation 2x+1=x+1, we __________ each side to get the equation...Problem 10E:
Solution? Determine whether the given value is a solution of the equation. 10. 1 [2 (3 x)] = 4x ...Problem 19E:
Linear Equations The given equation is either linear or equivalent to a linear equation. Solve the...Problem 27E:
Linear Equations The given equation is either linear or equivalent to a linear equation. Solve the...Problem 29E:
Linear Equations The given equation is either linear or equivalent to a linear equation. Solve the...Problem 33E:
Solving for a Variable Solve the equation for the indicated variable. 33. P = 2l + 2w; for wProblem 35E:
Solving for a Variable Solve the equation for the indicated variable. 35. ax+bcx+d=2; for xProblem 39E:
Solving for a Variable Solve the equation for the indicated variable. 39. V=13r2h; for rProblem 42E:
Solving for a Variable Solve the equation for the indicated variable. 42. A=P(1+i100)2; for iProblem 43E:
Solving for a Variable Solve the equation for the indicated variable. 43. h=12gt2+v0t; for tProblem 44E:
Solving for a Variable Solve the equation for the indicated variable. 44. Sn(n+1)2; for nProblem 45E:
Solving by Factoring Find all real solutions of the equation by factoring. 45. x2 + x 12 = 0Problem 49E:
Solving by Factoring Find all real solutions of the equation by factoring. 49. 4x2 4x 15 = 0Problem 71E:
Quadratic Equations Find all real solutions of the quadratic equation. 71. 3x2 + 6x 5 = 0Problem 72E:
Quadratic Equations Find all real solutions of the quadratic equation. 72. x2 6x + 1 = 0Problem 84E:
Discriminant Use the discriminant to determine the number of real solutions of the equation. Do not...Problem 123E:
More on Solving Equations Solve the equation for the variable x. The constants a and b represent...Problem 127E:
Falling-Body Problems Suppose an object is dropped from a height h0 above the ground. Then its...Problem 128E:
Falling-Body Problems Suppose an object is dropped from a height h0 above the ground. Then its...Problem 129E:
Falling-Body Problems Use the formula h = 16t2 + v0t discussed in Example 9. 129. A ball is thrown...Problem 131E:
Shrinkage in Concrete Beams As concrete dries, it shrinksthe higher the water content, the greater...Problem 132E:
The Lens Equation If F is the focal length of a convex lens and an object is placed at a distance x...Problem 133E:
Fish Population The fish population in a certain lake rises and falls according to the formula...Problem 134E:
Fish Population A large pond is stocked with fish. The fish population P is modeled by the formula...Problem 135E:
Profit A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x...Problem 136E:
Gravity If an imaginary line segment is drawn between the centers of the earth and the moon, then...Problem 137E:
Depth of a Well One method for determining the depth of a well is to drop a stone into it and then...Problem 138E:
DISCUSS: A Family of Equations The equation 3x+k5=kxk+1 is really a family of equations, because for...Problem 139E:
DISCUSS: Proof That 0 = 1? The following steps appear to give equivalent equations, which seem to...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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