Precalculus: A Unit Circle Approach2nd EditionRatti Publisher: PEARSONISBN: 9780321825391
Precalculus: A Unit Circle Approach
Solutions for Precalculus: A Unit Circle Approach
Problem 7E:
Plot end label each of the given points in a Cartesian coordinate plane and state the quadrant. if...Problem 8E:
a. Write the coordinates of any five points on the x-axis. What do these points have in common?
b....Problem 12E:
In Exercises 11-16, find (a) the distance between P and Q and (b) the coordinates of the midpoint of...Problem 13E:
In Exercises 13—20, find (a) the distance between P and Q and (b) the coordinates of the midpoint of...Problem 15E:
In Exercises 13—20, find (a) the distance between P and Q and (b) the coordinates of the midpoint of...Problem 20E:
In Exercises 21—24, determine whether the given points are collinear. Points are collinear if they...Problem 21E:
In Exercises 21—24, determine whether the given points are collinear. Points are collinear if they...Problem 22E:
In Exercises 21—24, determine whether the given points are collinear. Points are collinear if they...Problem 23E:
In Exercises 25—30, identify the triangle PQR as an isosceles (two sides of equal length),...Problem 24E:
In Exercises 25—30, identify the triangle PQR as an isosceles (two sides of equal length),...Problem 25E:
In Exercises 25—30, identify the triangle PQR as an isosceles (two sides of equal length),...Problem 26E:
In Exercises 25—30, identify the triangle PQR as an isosceles (two sides of equal length),...Problem 27E:
In Exercises 25—30, identify the triangle PQR as an isosceles (two sides of equal length),...Problem 28E:
In Exercises 25—30, identify the triangle PQR as an isosceles (two sides of equal length),...Problem 31E:
In Exercises 31—36, determine whether the given points are on the graph of the equation....Problem 33E:
In Exercises 37—46, graph each equation by plotting points. Let and 3, where applicable.
Problem 35E:
In Exercises 37—46, graph each equation by plotting points. Let and 3, where applicable.
Problem 36E:
In Exercises 37—46, graph each equation by plotting points. Let and 3, where applicable.
Problem 39E:
In Exercises 37—46, graph each equation by plotting points. Let and 3, where applicable.
Problem 40E:
In Exercises 37—46, graph each equation by plotting points. Let and 3, where applicable.
Problem 41E:
In Exercises 37—46, graph each equation by plotting points. Let and 3, where applicable.
Problem 55E:
In Exercises 73—80, test each equation for symmetry with respect to the x-axis, the y-axis, and the...Problem 56E:
In Exercises 73—80, test each equation for symmetry with respect to the x-axis, the y-axis, and the...Problem 57E:
In Exercises 73—80, test each equation for symmetry with respect to the x-axis, the y-axis, and the...Problem 60E:
In Exercises 73—80, test each equation for symmetry with respect to the x-axis, the y-axis, and the...Problem 78E:
In Exercises 111—114, a graph is described geometrically as the path of a point P(x. y), on the...Problem 79E:
In Exercises 111—114, a graph is described geometrically as the path of a point P(x. y), on the...Problem 80E:
In Exercises 111—114. a graph is described geometrically as the path of a point P(x. y), on the...Problem 83E:
Female Student in colleges. The equation
P = - 0.002t2+ 0.5at + 17.5 models the approximate number...Problem 84E:
Motion. An object is thrown up from the top of a building that is 320 feet high. The equation gives...Problem 85E:
Diving for treasure. A treasure-hunting team of divers is placed in a computer-controlled diving...Problem 86E:
Use coordinates to prove that the diagonals of a parallelogram bisect each other.
[Hint: Choose as...Problem 87E:
Let A(2, 3), B(5, 4), and C(3, 8) be three points in a coordinate plane. Find the coordinates of the...Problem 98E:
In the same coordinate system, sketch the graphs of the two circles with equations x2+y24x+2y20=0...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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