Solutions for Precalculus: A Unit Circle Approach
Problem 1RE:
In Exercises 1–8, state whether the given statement is true or false.
(0, 5) is the midpoint of the...Problem 10RE:
In Exercises 9–14, find
a. the distance between the point P and Q.
b. the coordinates of the...Problem 11RE:
In Exercises 9—14, find
a. the distance between the point P and Q.
b. the coordinates of the...Problem 30RE:
In Exercises 25—34, sketch the graph of the given equation. List all intercepts and describe any...Problem 40RE:
In Exercises 38—42, describe and sketch the graph of the given equation and give the x- and y-i...Problem 41RE:
In Exercises 38—42, describe and sketch the graph of the given equation and give the x- and y-i...Problem 47RE:
In Exercises 43—47, find the slope—intercept form of the equation of the line that satisfies the...Problem 48RE:
Determine whether the lines in each pair are parallel, perpendicular, or neither.
a.
b.
c.
d.
Problem 56RE:
In Exercises 49—58, graph each equation. State which equations determine y as a function of x.
Problem 57RE:
In Exercises 49—58, graph each equation. State which equations determine y as a function of x.
Problem 77RE:
In Exercises 77—82, graph each function and state its domain and range. Determine the intervals over...Problem 79RE:
In Exercises 77—82, graph each function and state its domain and range. Determine the intervals over...Problem 80RE:
In Exercises 77—82, graph each function and state its domain and range. Determine the intervals over...Problem 81RE:
In Exercises 77—82, graph each function and state its domain and range. Determine the intervals over...Problem 82RE:
In Exercises 77—82, graph each function and state its domain and range. Determine the intervals over...Problem 83RE:
In Exercises 83—86, use transformations to graph each pair of functions on the same coordinate axes....Problem 84RE:
In Exercises 83—86, use transformations to graph each pair of functions on the same coordinate axes....Problem 89RE:
In Exercises 87—92, state whether each function is odd, even, or neither. Discuss the symmetry of...Problem 90RE:
In Exercises 87—92, state whether each function is odd, even, or neither. Discuss the symmetry of...Problem 91RE:
In Exercises 87—92, state whether each function is odd, even, or neither. Discuss the symmetry of...Problem 97RE:
In Exercises 97—1 00, determine whether the given function is one-to-one, If the function is...Problem 98RE:
In Exercises 97—1 00, determine whether the given function is one-to-one, If the function is...Problem 99RE:
In Exercises 97—1 00, determine whether the given function is one-to-one, If the function is...Problem 103RE:
For the following graph of a function f
a. write a formula for f as a piecewise function.
b. find...Problem 104RE:
Scuba diving. The pressure P on the body of a scuba diver increases linearly as she descends to...Problem 106RE:
Checking your speedometer. Zoe checks the accuracy of her speedometer by driving a few measured (not...Problem 110RE:
Toy manufacturing. After being in business for t years, a toy manufacturer is making . GI Jimmy toys...Problem 9PTA:
If
(b) , and (c) .
Problem 10PTA:
Find the domain of the function
.
Problem 11PTA:
Find the domain of the function
.
Problem 16PTA:
A ball is thrown upward from the ground. After t seconds, the height h (in feet) above the ground is...Problem 19PTA:
Now that Jo has saved $1000 for a car, her dad takes over and deposits $100 into her account each...Problem 20PTA:
The cost C in dollars for renting a car for one day is a function of the number of miles traveled,...Problem 8PTB:
Use
and
to find
a.
b.
c.
d.
Problem 16PTB:
Which of the following is a one-to-one function?
Problem 17PTB:
If f is a one-to-one function and f( 3) = 5 then
a.
b.
c.
d.
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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