Solutions for MAT 171 ACCESS CODE
Problem 1SP:
Write a variation model using k as the constant of variation. a. The distance d that a spring...Problem 2SP:
Write a variable model using k as the constant of variation. a. The kinetic energy E of an object...Problem 3SP:
The amount of the medicine ampicillin that a physician prescribes for a child varies directly as the...Problem 4SP:
The yield on a bond varies inversely as the price. The yield on a particular bond is 4 when the...Problem 5SP:
The amount of simple interest earned in an account varies jointly as the interest rate and time of...Problem 1PE:
If k is a nonzero constant real number, then the statement y=kx implies that y varies as x.Problem 2PE:
If k is a nonzero constant real number, then the statement y=kx implies that y varies as x.Problem 4PE:
If y varies directly as two or more other variables such as x and w, then y=kxw, and we say that y...Problem 5PE:
a. Given y=2x, evaluate y for the given values of x:x=1,x=2,x=3,x=4,andx=5. b. How does y change...Problem 7PE:
The time required to drive from Atlanta, Georgia, to Nashville, Tennessee, varies as the average...Problem 9PE:
The volume of a right circular cone varies as the square of the radius of the cylinder and as the...Problem 10PE:
A student’s grade on a test varies as the number of hours the student spends studying for the...Problem 11PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 12PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 13PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 14PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 15PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 16PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 17PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 18PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 19PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 20PE:
For Exercises 11-20, write a variation model using k as the constant of variation. (See Example 1-2)...Problem 21PE:
For Exercises 21-26, find the constant of variation k. y varies directly as x. When x is 8, y is 20.Problem 22PE:
For Exercises 21-26, find the constant of variation k. m varies directly as x. When x is 10, m is...Problem 23PE:
For Exercises 21-26, find the constant of variation k. p is inversely proportional to q. When q is...Problem 24PE:
For Exercises 21-26, find the constant of variation k. T is inversely proportional to x. When x is...Problem 25PE:
For Exercises 21-26, find the constant of variation k. y varies jointly as w and v. When w is 40 and...Problem 26PE:
For Exercises 21-26, find the constant of variation k. N varies jointly as t and p. When t is 2 and...Problem 27PE:
The value of y equal 4 when x=10. Find y when x=5 if a. y varies directly as x. b. y varies...Problem 28PE:
The value of y equal 24 when x is 12. Find y when x=3 if a. y varies directly as x. b. y varies...Problem 29PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The amount of a pain...Problem 30PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The number of people that...Problem 31PE:
For Exercises 29-48, use a variation model to solve for the unknown value. A rental car company...Problem 32PE:
For Exercises 29-48, use a variation model to solve for the unknown value. A chef self-publishes a...Problem 33PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The distance that a...Problem 34PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The amount of pollution...Problem 35PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The stopping distance of...Problem 36PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The area of a picture...Problem 37PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The time required to...Problem 38PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The yield on a bond...Problem 39PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The current in a wire...Problem 40PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The resistance of a wire...Problem 41PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The amount of simple...Problem 42PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The amount of simple...Problem 43PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The body mass index (BMI)...Problem 44PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The strength of a wooden...Problem 45PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The speed of a racing...Problem 46PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The period of a pendulum...Problem 47PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The cost to carpet a...Problem 48PE:
For Exercises 29-48, use a variation model to solve for the unknown value. The cost to tile a...Problem 55PE:
For Exercises 55-56, write a statement in words that describes the variation model given. Use k as...Problem 56PE:
For Exercises 55-56, write a statement in words that describes the variation model given. Use k as...Problem 57PE:
The light from a lightbulb radiates outward in all directions. a. Consider the interior of an...Problem 58PE:
Kepler's third law states that the square of the time T required for a planet to complete one orbit...Problem 59PE:
The intensity of radiation varies inversely as the square of the distance from the source to the...Problem 60PE:
Suppose that y varies inversely as the cube of x. If the value of x is decreased to 14 of its...Problem 61PE:
Suppose that y varies directly as x2 and inversely as w4 . If both x and w are doubled, what is the...Problem 62PE:
Suppose that y varies directly as x5 and inversely as w2 . If both x and w are doubled, what is the...Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, 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 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
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