Solutions for Precalculus: A Unit Circle Approach
Problem 7E:
In Exercises 21—24, functions f and g are given. Find each of the given values.
a. (f + g) (–1)...Problem 8E:
In Exercises 21—24, functions f and g are given. Find each of the given values.
a. (f + g) (–1)...Problem 9E:
In Exercises 21—24, functions f and g are given. Find each of the given values.
a. (f + g) (–1)...Problem 10E:
In Exercises 21—24, functions f and g are given. Find each of the given values.
a.
b.
c.
d.
Problem 11E:
In Exercises 25—38, functions f arid g are given. Find each of the following functions and state its...Problem 12E:
In Exercises 25—38, functions f arid g are given. Find each of the following functions and state its...Problem 13E:
In Exercises 25—38, functions f arid g are given. Find each of the following functions and state its...Problem 14E:
In Exercises 25—38, functions f arid g are given. Find each of the following functions and state its...Problem 15E:
In Exercises 25—38, functions f arid g are given. Find each of the following functions and state its...Problem 43E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 44E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 45E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 46E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 47E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 48E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 49E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 50E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 51E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 53E:
In Exercises 63—78, the functions f and g are given. Find each composite function and describe its...Problem 63E:
In Exercises 87–96, express the given function H as a composition of two functions f and g such that...Problem 64E:
In Exercises 87–96, express the given function H as a composition of two functions f and g such that...Problem 68E:
Cost, revenue, and profit. The demand equation for a product is given by . where x is the number of...Problem 69E:
Cost and revenue. A manufacturer of radios estimates that his daily cost of producing x radios is...Problem 71E:
Consumer Issues. You work in a department store in which employees are entitled to a 30% discount on...Problem 72E:
Consumer issues. You work in a department store in which employees are entitled to a 20%
discount...Problem 79E:
Let
Find each function.
a.
b.
c.
d.
Problem 80E:
Let
Find
and its domain.
Browse All Chapters of This Textbook
Chapter 1 - Graphs And FunctionsChapter 1.1 - Graphs Of EquationsChapter 1.2 - LinesChapter 1.3 - FunctionsChapter 1.4 - A Library Of FunctionsChapter 1.5 - Transformations Of FunctionsChapter 1.6 - Combining Functions; Composite FunctionsChapter 1.7 - Inverse FunctionsChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions
Chapter 2.2 - Polynomial FunctionsChapter 2.3 - Dividing Polynomials And The Rational Zeros TestChapter 2.4 - Zeros Of A Polynomial FunctionChapter 2.5 - Rational FunctionsChapter 2.6 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Exponential FunctionsChapter 3.2 - Logarithmic FunctionsChapter 3.3 - Rules Of LogarithmsChapter 3.4 - Exponential And Logarithmic Equations And InequalitiesChapter 3.5 - Logarithmic ScalesChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - The Unit Circle; Trigonometric Functions Of Real NumbersChapter 4.3 - Trigonometric Functions Of AnglesChapter 4.4 - Graphs Of The Sine And Cosine FunctionsChapter 4.5 - Graphs Of The Other Trigonometric FunctionsChapter 4.6 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Trigonometric Identities And EquationsChapter 5.2 - Trigonometric EquationsChapter 5.3 - Sum And Difference FormulasChapter 5.4 - Double-angle And Half-angle FormulasChapter 5.5 - Product-to-sum And Sum-to-product FormulasChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Right-triangle TrigonometryChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - VectorsChapter 6.5 - The Dot ProductChapter 6.6 - Polar CoordinatesChapter 6.7 - Polar Form Of Complex Numbers; Demoivre’s TheoremChapter 7 - Systems Of Equations And InequalitiesChapter 7.1 - Systems Of Equations In Two VariablesChapter 7.2 - Systems Of Linear Equations In Three VariablesChapter 7.3 - Matrices And Systems Of EquationsChapter 7.4 - Determinants And Cramer’s RuleChapter 7.5 - Partial Fraction DecompositionChapter 7.6 - Matrix AlgebraChapter 7.7 - The Matrix InverseChapter 7.8 - Systems Of InequalitiesChapter 8 - Analytic GeometryChapter 8.2 - The ParabolaChapter 8.3 - The EllipseChapter 8.4 - The HyperbolaChapter 8.5 - Rotation Of AxesChapter 8.6 - Polar Equations Of ConicsChapter 8.7 - Parametric EquationsChapter 9 - Further Topics In AlgebraChapter 9.1 - Sequences And SeriesChapter 9.2 - Arithmetic Sequences; Partial SumsChapter 9.3 - Geometric Sequences And SeriesChapter 9.4 - Mathematical InductionChapter 9.5 - The Binomial TheoremChapter 9.6 - Counting PrinciplesChapter 9.7 - ProbabilityChapter A.1 - The Real Numbers; Integer ExponentsChapter A.2 - PolynomialsChapter A.3 - Rational ExpressionsChapter A.4 - Radicals And Rational ExponentsChapter A.5 - Topics In GeometryChapter A.6 - EquationsChapter A.7 - InequalitiesChapter A.8 - Complex Numbers
Book Details
Ratti and McWaters created their text from years of combined lecture notes and firsthand experience with students, resulting in a strong preparation for calculus. They emphasize concept development, real-life applications, and extensive exercises to encourage deep understanding for students. Precalculus: A Unit Circle Approach, Second Edition , offers the best of both worlds: rigorous topics and a friendly, "teacherly" tone.
Sample Solutions for this Textbook
We offer sample solutions for Precalculus: A Unit Circle Approach homework problems. See examples below:
Chapter 1, Problem 1REChapter 2, Problem 1REChapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REChapter 6, Problem 1REGiven information: The provided system of equation is shown below: {3x−y=−5x+2y=3}(1)(2) Formula...Given: y2=−6x Concept and Formula used: There are two standard forms of parabola given by...Given information: The sequence an=2n−3 Concept used: To evaluate the terms of a sequence, we...
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