Solutions for Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Problem 4CV:
If none of the angles of a triangle is a right angle, the triangle is called _____ . a. oblique b....Problem 5CV:
For a triangle with sides a, b, c and opposite angles A, B, C, the Law of Sines states that _____ .Problem 6CV:
True or False An oblique triangle in which two sides and an angle are given always results in at...Problem 7CV:
True or False The Law of Sines can be used to solve triangles where three sides are known.Problem 8CV:
Triangles for which two sides and the angle opposite one of them are known (SSA) are referred to as...Problem 9SB:
In Problems 9-16, solve each triangle.Problem 10SB:
In Problems 9-16, solve each triangle.Problem 11SB:
In Problems 9-16, solve each triangle.Problem 12SB:
In Problems 9-16, solve each triangle.Problem 13SB:
In Problems 9-16, solve each triangle.Problem 14SB:
In Problems 9-16, solve each triangle.Problem 15SB:
In Problems 9-16, solve each triangle.Problem 16SB:
In Problems 9-16, solve each triangle.Problem 25SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 26SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 27SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 28SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 29SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 30SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 31SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 32SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 33SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 34SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 35SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 36SB:
In Problems 25-36, two sides and an angle are given. Determine whether the given information results...Problem 37AE:
Finding the Length of a Ski Lift Consult the figure. To find the length of the span of a proposed...Problem 38AE:
Finding the Height of a Mountain Use the illustration in Problem 37 to find the height QD of the...Problem 39AE:
Finding the Height of an Airplane An aircraft is spotted by two observers who are 1000 feet apart....Problem 40AE:
Finding the Height of the Bridge over the Royal Gorge The highest bridge in the world is the bridge...Problem 41AE:
Land Dimensions A triangular plot of land has one side along a straight road measuring 200 feet. A...Problem 42AE:
Distance between Runners Two runners in a marathon determine that the angles of elevation of a news...Problem 43AE:
Landscaping Pat needs to determine the height of a tree before cutting it down to be sure that it...Problem 44AE:
Construction A loading ramp 10 feet long that makes an angle of 18 with the horizontal is to be...Problem 47AE:
Rescue at Sea Coast Guard Station Able is located 150 miles due south of Station Baker. A ship at...Problem 49AE:
Finding the Lean of the Leaning Tower of Pisa The famous Leaning Tower of Pisa was originally 184.5...Problem 50AE:
Crankshafts on Cars On a certain automobile, the crankshaft is 3 inches long and the connecting rod...Problem 51AE:
Constructing a Highway A highway whose primary directions are north-south, is being constructed...Problem 52AE:
Calculating Distances at Sea The navigator of a ship sea spots two lighthouses that she knows to be...Problem 53AE:
Designing an Awning An awning that covers a sliding glass door that is 88 inches tall forms an angle...Problem 54AE:
Finding Distances A forest ranger is walking on a path inclined at 5 to the horizontal directly...Problem 56AE:
Determining the Height of an Aircraft Two sensors are spaced 700 feet apart along the approach to a...Problem 59AE:
The Original Ferris Wheel George Washington Gale Ferris, Jr., designed the original Ferris wheel for...Problem 60AE:
Mollweides Formula For any triangle, Mollweides Formula (named after Karl Mollweide, 1774-1825)...Problem 61AE:
Mollweides Formula Another form of Mollweides Formula is ab c = sin[ 1 2 ( AB ) ] cos( 1 2 C )...Problem 62AE:
For any triangle, derive the formula a=bcosC+ccosB [Hint: Use the fact that sinA=sin( 180 BC ) .]Problem 63AE:
Law of Tangents For any triangle, derive the Law of Tangents: ab a+b = tan[ 1 2 ( AB ) ] tan[ 1 2 (...Problem 65DW:
Make up three problems involving oblique triangles. One should result in one triangle, the second in...Problem 66DW:
What do you do first if you are asked to solve a triangle and are given one side and two angles?Problem 67DW:
What do you do first if you are asked to solve a triangle and are given two sides and the angle...Problem 68DW:
Solve Example 6 using right-triangle geometry. Comment on which solution, using the Law of Sines or...Problem 69RYK:
Solve: 3 x 3 +4 x 2 27x36=0Problem 70RYK:
Find the exact distance between P 1 =( 1,7 ) and P 2 =( 2,1 ) . Then approximate the distance to two...Problem 71RYK:
Find the exact value of tan[ cos 1 ( 7 8 ) ] .Problem 72RYK:
Graph y=4sin( 1 2 x ) . Show at least two periods.Browse All Chapters of This Textbook
Chapter 1.1 - The Distance And Midpoint Formulas; Graphing Utilities; Introduction To Graphing EquationsChapter 1.2 - Intercepts; Symmetry; Graphing Key EquationsChapter 1.3 - Solving Equations Using A Graphing UtilityChapter 1.4 - LinesChapter 1.5 - CirclesChapter 1.R - ReviewChapter 2.1 - FunctionsChapter 2.2 - The Graph Of A FunctionChapter 2.3 - Properties Of FunctionsChapter 2.4 - Library Of Functions;piecewise-defined Functions
Chapter 2.5 - Graphing Techniques: TransformationsChapter 2.6 - Mathematical Models: Building FunctionsChapter 2.R - ReviewChapter 2.CR - Cumulative ReviewChapter 3.1 - Properties Of Linear Functions And Linear ModelsChapter 3.2 - Building Linear Models From DataChapter 3.3 - Quadratic Functions And Their PropertiesChapter 3.4 - Build Quadratic Models From Verbal Descriptions And From DataChapter 3.5 - Inequalities Involving Quadratic FunctionsChapter 3.R - Chapter ReviewChapter 3.CT - Chapter TestChapter 3.CR - Cumulative ReviewChapter 4.1 - Polynomial Functions And ModelsChapter 4.2 - The Real Zeros Of A Polynomial FunctionChapter 4.3 - Complex Zeros; Fundamental Theorem Of AlgebraChapter 4.4 - Properties Of Rational FunctionsChapter 4.5 - The Graph Of A Rational FunctionChapter 4.6 - Polynomial And Rational InequalitiesChapter 5.1 - Composite FunctionsChapter 5.2 - One-to-one Functions; Inverse FunctionsChapter 5.3 - Exponential FunctionsChapter 5.4 - Logarithmic FunctionsChapter 5.5 - Properties Of LogarithmsChapter 5.6 - Logarithmic And Exponential EquationsChapter 5.7 - Financial ModelsChapter 5.8 - Exponential Growth And Decay Models; Newton’s Law; Logistic Growth And Decay ModelsChapter 5.9 - Building Exponential, Logarithmic, And Logistic Models From DataChapter 5.R - ReviewChapter 6.1 - Angles And Their MeasureChapter 6.2 - Trigonometric Functions: Unit Circle ApproachChapter 6.3 - Properties Of The Trigonometric FunctionsChapter 6.4 - Graphs Of The Sine And Cosine FunctionsChapter 6.5 - Graphs Of The Tangent, Cotangent, Cosecant, And Secant FunctionsChapter 6.6 - Phase Shift; Sinusoidal Curve FittingChapter 7.1 - The Inverse Sine, Cosine, And Tangent FunctionsChapter 7.2 - The Inverse Trigonometric Functions (continued)Chapter 7.3 - Trigonometric EquationsChapter 7.4 - Trigonometric IdentitiesChapter 7.5 - Sum And Difference FormulasChapter 7.6 - Double-angle And Half-angle FormulasChapter 7.7 - Product-to-sum And Sum-to-product FormulasChapter 7.R - ReviewChapter 8.1 - Right Triangle Trigonometry; ApplicationsChapter 8.2 - The Law Of SinesChapter 8.3 - The Law Of CosinesChapter 8.4 - Area Of A TriangleChapter 8.5 - Simple Harmonic Motion; Damped Motion; Combining WavesChapter 8.R - ReviewChapter 9.1 - Polar CoordinatesChapter 9.2 - Polar Equations And GraphsChapter 9.3 - The Complex Plane; De Moivre’s TheoremChapter 9.4 - VectorsChapter 9.5 - The Dot ProductChapter 9.6 - Vectors In SpaceChapter 9.7 - The Cross ProductChapter 10.2 - The ParabolaChapter 10.3 - The EllipseChapter 10.4 - The HyperbolaChapter 10.5 - Rotation Of Axes; General Form Of A ConicChapter 10.6 - Polar Equations Of ConicsChapter 10.7 - Plane Curves And Parametric EquationsChapter 10.R - ReviewChapter 11.1 - Systems Of Linear Equations: Substitution And EliminationChapter 11.2 - Systems Of Linear Equations: MatricesChapter 11.3 - Systems Of Linear Equations: DeterminantsChapter 11.4 - Matrix AlgebraChapter 11.5 - Partial Fraction DecompositionChapter 11.6 - Systems Of Nonlinear EquationsChapter 11.7 - Systems Of InequalitiesChapter 11.8 - Linear ProgrammingChapter 12.1 - SequencesChapter 12.2 - Arithmetic SequencesChapter 12.3 - Geometric Sequences; Geometric SeriesChapter 12.4 - Mathematical InductionChapter 12.5 - The Binomial TheoremChapter 13.1 - CountingChapter 13.2 - Permutations And CombinationsChapter 13.3 - ProbabilityChapter 13.R - ReviewChapter 14.1 - Finding Limits Using Tables And GraphsChapter 14.2 - Algebra Techniques For Finding LimitsChapter 14.3 - One-sided Limits; Continuous FunctionsChapter 14.4 - The Tangent Problem; The DerivativeChapter 14.5 - The Area Problem; The IntegralChapter A.1 - Algebra EssentialsChapter A.2 - Geometry EssentialsChapter A.3 - PolynomialsChapter A.4 - Synthetic DivisionChapter A.5 - Rational ExpressionsChapter A.6 - Solving EquationsChapter A.7 - Complex Numbers; Quadratic Equations In The Complex Number SystemChapter A.8 - Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job ApplicationsChapter A.9 - Interval Notation; Solving InequalitiesChapter A.10 - Nth Roots; Rational ExponentsChapter B - The Limit Of A Sequence; Infinite Series
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Precalculus: Enhanced... -Guided Lecture
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