 9.5.1: In Exercises 1 8, parametric equations and a value for the paramete...
 9.5.2: In Exercises 1 8, parametric equations and a value for the paramete...
 9.5.3: In Exercises 1 8, parametric equations and a value for the paramete...
 9.5.4: In Exercises 1 8, parametric equations and a value for the paramete...
 9.5.5: In Exercises 1 8, parametric equations and a value for the paramete...
 9.5.6: In Exercises 1 8, parametric equations and a value for the paramete...
 9.5.7: In Exercises 1 8, parametric equations and a value for the paramete...
 9.5.8: In Exercises 1 8, parametric equations and a value for the paramete...
 9.5.9: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.10: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.11: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.12: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.13: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.14: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.15: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.16: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.17: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.18: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.19: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.20: In Exercises 9 20, use point plotting to graph the plane curve desc...
 9.5.21: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.22: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.23: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.24: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.25: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.26: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.27: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.28: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.29: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.30: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.31: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.32: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.33: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.34: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.35: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.36: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.37: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.38: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.39: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.40: In Exercises 21 40, eliminate the parameter Then use the rectangula...
 9.5.41: In Exercises 41 43, eliminate the parameter. Write the resulting eq...
 9.5.42: In Exercises 41 43, eliminate the parameter. Write the resulting eq...
 9.5.43: In Exercises 41 43, eliminate the parameter. Write the resulting eq...
 9.5.44: The following are parametric equations of the line through and : El...
 9.5.45: In Exercises 45 52, use your answers from Exercises 41 44 and the p...
 9.5.46: In Exercises 45 52, use your answers from Exercises 41 44 and the p...
 9.5.47: In Exercises 45 52, use your answers from Exercises 41 44 and the p...
 9.5.48: In Exercises 45 52, use your answers from Exercises 41 44 and the p...
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 9.5.50: In Exercises 45 52, use your answers from Exercises 41 44 and the p...
 9.5.51: In Exercises 45 52, use your answers from Exercises 41 44 and the p...
 9.5.52: In Exercises 45 52, use your answers from Exercises 41 44 and the p...
 9.5.53: In Exercises 53 56, find two different sets of parametric equations...
 9.5.54: In Exercises 53 56, find two different sets of parametric equations...
 9.5.55: In Exercises 53 56, find two different sets of parametric equations...
 9.5.56: In Exercises 53 56, find two different sets of parametric equations...
 9.5.57: In Exercises 57 58, the parametric equations of four plane curves a...
 9.5.58: In Exercises 57 58, the parametric equations of four plane curves a...
 9.5.59: In Exercises 59 62, sketch the plane curve represented by the given...
 9.5.60: In Exercises 59 62, sketch the plane curve represented by the given...
 9.5.61: In Exercises 59 62, sketch the plane curve represented by the given...
 9.5.62: In Exercises 59 62, sketch the plane curve represented by the given...
 9.5.63: In Exercises 63 68, sketch the function represented by the given pa...
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 9.5.65: In Exercises 63 68, sketch the function represented by the given pa...
 9.5.66: In Exercises 63 68, sketch the function represented by the given pa...
 9.5.67: In Exercises 63 68, sketch the function represented by the given pa...
 9.5.68: In Exercises 63 68, sketch the function represented by the given pa...
 9.5.69: The figure shows the path for a baseball hit by Derek Jeter. The ba...
 9.5.70: The figure shows the path for a baseball that was hit with an initi...
 9.5.71: What are plane curves and parametric equations?
 9.5.72: How is point plotting used to graph a plane curve described by para...
 9.5.73: What is the significance of arrows along a plane curve?
 9.5.74: What does it mean to eliminate the parameter? What useful informati...
 9.5.75: Explain how the rectangular equation can have infinitely many sets ...
 9.5.76: Discuss how the parametric equations for the path of a projectile (...
 9.5.77: Use a graphing utility in a parametric mode to verify any five of y...
 9.5.78: In Exercises 78 82, use a graphing utility to obtain the plane curv...
 9.5.79: In Exercises 78 82, use a graphing utility to obtain the plane curv...
 9.5.80: In Exercises 78 82, use a graphing utility to obtain the plane curv...
 9.5.81: In Exercises 78 82, use a graphing utility to obtain the plane curv...
 9.5.82: In Exercises 78 82, use a graphing utility to obtain the plane curv...
 9.5.83: In Exercises 83 84, use a graphing utility to obtain the path of a ...
 9.5.84: In Exercises 83 84, use a graphing utility to obtain the path of a ...
 9.5.85: A baseball player throws a ball with an initial velocity of 140 fee...
 9.5.86: Parametric equations allow me to use functions to describe curves t...
 9.5.87: Parametric equations let me think of a curve as a path traced out b...
 9.5.88: I represented with the parametric equations and y = t4 x = t  9
 9.5.89: I found alternate pairs of parametric equations for the same rectan...
 9.5.90: Eliminate the parameter x = cos t. 3 t and y = sin3 x = cos t
 9.5.91: The plane curve described by the parametric equations and has a cou...
 9.5.92: The figure shows a circle of radius rolling along a horizontal line...
 9.5.93: Exercises 93 95 will help you prepare for the material covered in t...
 9.5.94: Exercises 93 95 will help you prepare for the material covered in t...
 9.5.95: a. Showing all steps, rewrite as b. Express in rectangular coordina...
Solutions for Chapter 9.5: Parametric Equations
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 9.5: Parametric Equations
Get Full SolutionsChapter 9.5: Parametric Equations includes 95 full stepbystep solutions. Precalculus was written by and is associated to the ISBN: 9780321559845. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Since 95 problems in chapter 9.5: Parametric Equations have been answered, more than 67350 students have viewed full stepbystep solutions from this chapter.

Augmented matrix
A matrix that represents a system of equations.

Circle graph
A circular graphical display of categorical data

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Common difference
See Arithmetic sequence.

Complex fraction
See Compound fraction.

Complex number
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

Conjugate axis of a hyperbola
The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

Elimination method
A method of solving a system of linear equations

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Inductive step
See Mathematical induction.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Relevant domain
The portion of the domain applicable to the situation being modeled.

Scalar
A real number.

Variation
See Power function.

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.