 6.4.6.5.7: In Exercises 1 6, the graph of a polar equation is given. Select th...
 6.4.6.5.8: In Exercises 1 6, the graph of a polar equation is given. Select th...
 6.4.6.5.9: In Exercises 1 6, the graph of a polar equation is given. Select th...
 6.4.6.5.10: In Exercises 1 6, the graph of a polar equation is given. Select th...
 6.4.6.5.11: In Exercises 1 6, the graph of a polar equation is given. Select th...
 6.4.6.5.12: In Exercises 1 6, the graph of a polar equation is given. Select th...
 6.4.6.5.13: In Exercises 7 12, test for symmetry with respect to a. the polar axis
 6.4.6.5.14: In Exercises 7 12, test for symmetry with respect to a. the polar axis
 6.4.6.5.15: In Exercises 7 12, test for symmetry with respect to a. the polar axis
 6.4.6.5.16: In Exercises 7 12, test for symmetry with respect to a. the polar axis
 6.4.6.5.17: In Exercises 7 12, test for symmetry with respect to a. the polar axis
 6.4.6.5.18: In Exercises 7 12, test for symmetry with respect to a. the polar axis
 6.4.6.5.19: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.20: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.21: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.22: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.23: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.24: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.25: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.26: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.27: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.28: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.29: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.30: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.31: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.32: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.33: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.34: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.35: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.36: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.37: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.38: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.39: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.40: In Exercises 13 34, test for symmetry and then graph each polar equ...
 6.4.6.5.41: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.42: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.43: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.44: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.45: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.46: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.47: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.48: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.49: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.50: In Exercises 35 44, test for symmetry and then graph each polar equ...
 6.4.6.5.51: What is the speed, to the nearest knot, of a sailboat sailing at a ...
 6.4.6.5.52: What is the speed, to the nearest knot, of a sailboat sailing at a ...
 6.4.6.5.53: What is the speed, to the nearest knot, of a sailboat sailing at a ...
 6.4.6.5.54: What is the speed, to the nearest knot, of a sailboat sailing at a ...
 6.4.6.5.55: What angle to the wind produces the maximum sailing speed? What is ...
 6.4.6.5.56: What is a polar equation?
 6.4.6.5.57: What is the graph of a polar equation?
 6.4.6.5.58: What is the graph of a polar equation?
 6.4.6.5.59: Describe the test for symmetry with respect to the polar axis.
 6.4.6.5.60: Describe the test for symmetry with respect to the line
 6.4.6.5.61: Describe the test for symmetry with respect to the pole.
 6.4.6.5.62: If an equation fails the test for symmetry with respect to the pola...
 6.4.6.5.63: Use a graphing utility to verify any six of your handdrawn graphs ...
 6.4.6.5.64: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.65: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.66: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.67: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.68: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.69: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.70: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.71: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.72: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.73: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.74: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.75: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.76: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.77: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.78: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.79: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.80: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.81: In Exercises 58 75, use a graphing utility to graph the polar equation
 6.4.6.5.82: In Exercises 76 78, find the smallest interval for starting with so...
 6.4.6.5.83: In Exercises 76 78, find the smallest interval for starting with so...
 6.4.6.5.84: In Exercises 76 78, find the smallest interval for starting with so...
 6.4.6.5.85: In Exercises 79 82, use a graphing utility to graph each butterfly ...
 6.4.6.5.86: In Exercises 79 82, use a graphing utility to graph each butterfly ...
 6.4.6.5.87: In Exercises 79 82, use a graphing utility to graph each butterfly ...
 6.4.6.5.88: In Exercises 79 82, use a graphing utility to graph each butterfly ...
 6.4.6.5.89: Use a graphing utility to graph for and 6. Use a separate viewing s...
 6.4.6.5.90: Repeat Exercise 83 for Are your conclusions the same as they were i...
 6.4.6.5.91: Use a graphing utility to graph for and 6. Use a separate viewing s...
 6.4.6.5.92: Repeat Exercise 85 for Are your conclusions the same as they were i...
 6.4.6.5.93: Graph the spiral Use a by viewing rectangle. Let and then and and f...
 6.4.6.5.94: Graph the spiral Use a by viewing rectangle. Let then and u max = 4...
 6.4.6.5.95: I m working with a polar equation that failed the symmetry test wit...
 6.4.6.5.96: The graph of my limaon exhibits none of the three kinds of symmetry...
 6.4.6.5.97: There are no points on my graph of for which
 6.4.6.5.98: I m graphing a polar equation in which for every value of there is ...
 6.4.6.5.99: In Exercises 93 94, graph and in the same polar coordinate system. ...
 6.4.6.5.100: In Exercises 93 94, graph and in the same polar coordinate system. ...
 6.4.6.5.101: Describe a test for symmetry with respect to the line in which is n...
 6.4.6.5.102: Exercises 96 98 will help you prepare for the material covered in t...
 6.4.6.5.103: Exercises 96 98 will help you prepare for the material covered in t...
 6.4.6.5.104: Exercises 96 98 will help you prepare for the material covered in t...
Solutions for Chapter 6.4: Graphs of Polar Equations
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 6.4: Graphs of Polar Equations
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Precalculus was written by and is associated to the ISBN: 9780321559845. Since 98 problems in chapter 6.4: Graphs of Polar Equations have been answered, more than 105570 students have viewed full stepbystep solutions from this chapter. Chapter 6.4: Graphs of Polar Equations includes 98 full stepbystep solutions.

Acute triangle
A triangle in which all angles measure less than 90°

Coefficient
The real number multiplied by the variable(s) in a polynomial term

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

End behavior
The behavior of a graph of a function as.

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Linear regression
A procedure for finding the straight line that is the best fit for the data

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.

Quartic function
A degree 4 polynomial function.

Relation
A set of ordered pairs of real numbers.

Removable discontinuity at x = a
lim x:a ƒ(x) = limx:a+ ƒ(x) but either the common limit is not equal ƒ(a) to ƒ(a) or is not defined

Scientific notation
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

Slant asymptote
An end behavior asymptote that is a slant line

Standard form of a complex number
a + bi, where a and b are real numbers

Stemplot (or stemandleaf plot)
An arrangement of a numerical data set into a specific tabular format.

Symmetric property of equality
If a = b, then b = a

Triangular number
A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.