Solutions for Precalculus: A Unit Circle Approach (3rd Edition)
Problem 9E:
In Exercises 9–16, find the slope of the line through the given pair of points. Without plotting any...Problem 10E:
In Exercises 9–16, find the slope of the line through the given pair of points. Without plotting any...Problem 11E:
n Exercises 9–16, find the slope of the line through the given pair of points. Without plotting any...Problem 12E:
In Exercises 9–16, find the slope of the line through the given pair of points. Without plotting any...Problem 13E:
In Exercises 9–16, find the slope of the line through the given pair of points. Without plotting any...Problem 14E:
In Exercises 9–16, find the slope of the line through the given pair of points. Without plotting any...Problem 15E:
In Exercises 9–16, find the slope of the line through the given pair of points. Without plotting any...Problem 16E:
In Exercises 9–16, find the slope of the line through the given pair of points. Without plotting any...Problem 29E:
In Exercises 25-42, find an equation in slope—intercept form of the line that passes through the...Problem 30E:
In Exercises 25-42, find an equation in slope—intercept form of the line that passes through the...Problem 31E:
In Exercises 25-42, find an equation in slope—intercept form of the line that passes through the...Problem 51E:
In Exercises 33—54, use the given conditions to find an equation in slope—intercept form of each...Problem 65E:
In Exercises 65–68, use the two-intercept form of the equation of a line.
65. Find an equation of...Problem 67E:
In Exercises 65–68, use the two-intercept form of the equation of a line.
67. Find the x- and...Problem 76E:
Write the slope—intercept form of the equation of the line that passes through the origin and is...Problem 77E:
Write the slope—intercept form of the equation of the blue line shown in the figure that is parallel...Problem 78E:
Write the slope—intercept form of the equation of the green line shown in the figure that is...Problem 84E:
In Exercises 79—88, determine whether each pair of lines is parallel, perpendicular, or neither.
and...Problem 85E:
In Exercises 79—88, determine whether each pair of lines is parallel, perpendicular, or neither.
...Problem 86E:
In Exercises 79—88, determine whether each pair of lines is parallel, perpendicular, or neither.
and...Problem 92E:
In Exercises 89—104, find the equation of the line in slope—intercept form satisfying the given...Problem 93E:
In Exercises 89—104, find the equation of the line in slope—intercept form satisfying the given...Problem 99E:
In Exercises 89—104, find the equation of the line in slope—intercept form satisfying the given...Problem 101E:
In Exercises 89—104, find the equation of the line in slope—intercept form satisfying the given...Problem 102E:
In Exercises 89—104, find the equation of the line in slope—intercept form satisfying the given...Problem 103E:
In Exercises 89—104, find the equation of the line in slope—intercept form satisfying the given...Problem 106E:
Prepaid Cellphone. A prepaid cellphone is loaded with a prepaid SIM card with initial airtime credit...Problem 107E:
Jet take off. Upon takeoff, a jet climbs to 4 miles as it passes over 40 miles of land below it Find...Problem 109E:
Trimming the bush. John noticed that it is springtime and that the hedge by his window has been...Problem 110E:
Taking a bath. Miguel is preparing to take a bath He sees that it takes 2 minutes to raise the...Problem 111E:
In Exercises 111—115, write an equation of a line in slope—intercept form. To describe this...Problem 116E:
Depreciating a tractor. The value v of a tractor purchased for $14000 and depreciated linearly at...Problem 117E:
Data usage. Your monthly data limit on your cellphone plan is 1 gigabyte (1 GB= 1024 MB) By the end...Problem 118E:
Car trip. You set out on a trip from your hometown to a vacation spot located 520 miles away. You...Problem 119E:
Playing a concert. A famous band is considering playing a concert and charging $40000 plus
$5 per...Problem 121E:
Fahrenheit and Celsius. In the Fahrenheit temperature scale, water boils at
212° F and freezes at...Problem 122E:
Cost. The cost of producing four modems is $210.20, and the cost of producing ten modems is...Problem 123E:
Female prisoners. The number of females in a states prisons rose from 2425 m 2005 to 4026 in...Problem 125E:
Health Insurance coverage. In Michigan, 11.7% of the population was not covered by health insurance...Problem 126E:
Oil consumption. The total world consumption of oil increased from 82.7 million barrels per day in...Problem 133E:
Show that the triangle with vertices
and C(5, 8) is a right triangle by using (a) slopes and (b) the...Problem 134E:
Show that the four points,
and,
are the vertices of a parallelogram.
[Hint: Opposite sides of a...Problem 135E:
In the accompanying figure, note that lines
l1 and
12 have slopes
m1 and
m2. Assume that
l1 and...Problem 138E:
Geometry. Use a coordinate plane to prove that the midpoints of the four sides of a quadrilateral...Problem 143E:
Exercises 143—146, use a graphing device to graph the given lines on the same screen Interpret your...Problem 144E:
Exercises 143—146, use a graphing device to graph the given lines on the same screen Interpret your...Problem 151E:
In Exercises 149 – 152, solve each equation for x.
Problem 152E:
In Exercises 149 – 152, solve each equation for x.
Problem 153E:
In Exercises 153-156, simplify each expression.
Problem 154E:
In Exercises 153-156, simplify each expression.
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 - Rational FunctionsChapter 2.5 - Polynomial And Rational InequalitiesChapter 2.6 - Zeros Of A Polynomial FunctionChapter 2.7 - 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 Scales; ModelingChapter 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 IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 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 - Systems Of InequalitiesChapter 7.4 - Matrices And Systems Of EquationsChapter 7.5 - Determinants And Cramer’s RuleChapter 7.6 - Partial-fraction DecompositionChapter 7.7 - Matrix AlgebraChapter 7.8 - The Matrix InverseChapter 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 10 - An Introduction To CalculusChapter 10.1 - Finding Limits Using Tables And GraphsChapter 10.2 - Finding Limits AlgebraicallyChapter 10.3 - Infinite Limits And Limits At InfinityChapter 10.4 - Introduction To DerivativesChapter 10.5 - Area And The IntegralChapter 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
For courses in Precalculus. Providing the rigor of solid mathematics with an engaging and friendly approach. As teachers, Ratti and McWaters saw firsthand where their Precalculus and Calculus students struggled, where they needed help making connections, and what material they needed to be successful in calculus. They decided to partner and write this text with the primary goal of preparing students to be successful in calculus and future STEM courses. Their experience in the classroom shows in each chapter. The focus on conceptual development, real-life applications, and extensive exercises, encourages a deeper understanding of the mathematics. Precalculus: A Unit Circle Approach, 3rd Edition, includes thorough coverage of topics as preparation for calculus, including; trig identities, difference quotient, functional composition, decomposition and emphasizes graphing techniques/transformations.
Sample Solutions for this Textbook
We offer sample solutions for Precalculus: A Unit Circle Approach (3rd Edition) 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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