 10.2.1: Plot the points with polar coordinates 12, p6 2 and 13, p22. Give...
 10.2.2: Write the equations that are used to express a point with polar coo...
 10.2.3: Write the equations that are used to express a point with Cartesian...
 10.2.4: What is the polar equation of a circle of radius _ a _ centered at ...
 10.2.5: What is the polar equation of the vertical line x = 5?
 10.2.6: What is the polar equation of the horizontal line y = 5?
 10.2.7: Explain three symmetries in polar graphs and how they are detected ...
 10.2.8: Explain the Cartesiantopolar method for graphing polar curves.
 10.2.9: 913. Graph the points with the following polar coordinates. Give tw...
 10.2.10: 913. Graph the points with the following polar coordinates. Give tw...
 10.2.11: 913. Graph the points with the following polar coordinates. Give tw...
 10.2.12: 913. Graph the points with the following polar coordinates. Give tw...
 10.2.13: 913. Graph the points with the following polar coordinates. Give tw...
 10.2.14: Points in polar coordinates Give two sets of polar coordinates for ...
 10.2.15: 1520. Converting coordinates Express the following polar coordinate...
 10.2.16: 1520. Converting coordinates Express the following polar coordinate...
 10.2.17: 1520. Converting coordinates Express the following polar coordinate...
 10.2.18: 1520. Converting coordinates Express the following polar coordinate...
 10.2.19: 1520. Converting coordinates Express the following polar coordinate...
 10.2.20: 1520. Converting coordinates Express the following polar coordinate...
 10.2.21: 2126. Converting coordinates Express the following Cartesian coordi...
 10.2.22: 2126. Converting coordinates Express the following Cartesian coordi...
 10.2.23: 2126. Converting coordinates Express the following Cartesian coordi...
 10.2.24: 2126. Converting coordinates Express the following Cartesian coordi...
 10.2.25: 2126. Converting coordinates Express the following Cartesian coordi...
 10.2.26: 2126. Converting coordinates Express the following Cartesian coordi...
 10.2.27: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.28: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.29: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.30: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.31: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.32: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.33: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.34: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.35: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.36: 2736. PolartoCartesian coordinates Convert the following equation...
 10.2.37: 3740. Simple curves Tabulate and plot enough points to sketch a gra...
 10.2.38: 3740. Simple curves Tabulate and plot enough points to sketch a gra...
 10.2.39: 3740. Simple curves Tabulate and plot enough points to sketch a gra...
 10.2.40: 3740. Simple curves Tabulate and plot enough points to sketch a gra...
 10.2.41: 4148. Graphing polar curves Graph the following equations. Use a gr...
 10.2.42: 4148. Graphing polar curves Graph the following equations. Use a gr...
 10.2.43: 4148. Graphing polar curves Graph the following equations. Use a gr...
 10.2.44: 4148. Graphing polar curves Graph the following equations. Use a gr...
 10.2.45: 4148. Graphing polar curves Graph the following equations. Use a gr...
 10.2.46: 4148. Graphing polar curves Graph the following equations. Use a gr...
 10.2.47: 4148. Graphing polar curves Graph the following equations. Use a gr...
 10.2.48: 4148. Graphing polar curves Graph the following equations. Use a gr...
 10.2.49: 4952. Matching polar and Cartesian curves A Cartesian and a polar g...
 10.2.50: 4952. Matching polar and Cartesian curves A Cartesian and a polar g...
 10.2.51: 4952. Matching polar and Cartesian curves A Cartesian and a polar g...
 10.2.52: 4952. Matching polar and Cartesian curves A Cartesian and a polar g...
 10.2.53: 5360. Using a graphing utility Use a graphing utility to graph the ...
 10.2.54: 5360. Using a graphing utility Use a graphing utility to graph the ...
 10.2.55: 5360. Using a graphing utility Use a graphing utility to graph the ...
 10.2.56: 5360. Using a graphing utility Use a graphing utility to graph the ...
 10.2.57: 5360. Using a graphing utility Use a graphing utility to graph the ...
 10.2.58: 5360. Using a graphing utility Use a graphing utility to graph the ...
 10.2.59: 5360. Using a graphing utility Use a graphing utility to graph the ...
 10.2.60: 5360. Using a graphing utility Use a graphing utility to graph the ...
 10.2.61: Explain why or why not Determine whether the following statements a...
 10.2.62: 6265. Cartesiantopolar coordinates Convert the following equation...
 10.2.63: 6265. Cartesiantopolar coordinates Convert the following equation...
 10.2.64: 6265. Cartesiantopolar coordinates Convert the following equation...
 10.2.65: 6265. Cartesiantopolar coordinates Convert the following equation...
 10.2.66: 6673. Sets in polar coordinates Sketch the following sets of points...
 10.2.67: 6673. Sets in polar coordinates Sketch the following sets of points...
 10.2.68: 6673. Sets in polar coordinates Sketch the following sets of points...
 10.2.69: 6673. Sets in polar coordinates Sketch the following sets of points...
 10.2.70: 6673. Sets in polar coordinates Sketch the following sets of points...
 10.2.71: 6673. Sets in polar coordinates Sketch the following sets of points...
 10.2.72: 6673. Sets in polar coordinates Sketch the following sets of points...
 10.2.73: 6673. Sets in polar coordinates Sketch the following sets of points...
 10.2.74: Circles in general Show that the polar equation r2  2r 1a cos u + ...
 10.2.75: Circles in general Show that the polar equation r2  2rr0 cos 1u  ...
 10.2.76: 7681. Equations of circles Use the results of Exercises 7475 to des...
 10.2.77: 7681. Equations of circles Use the results of Exercises 7475 to des...
 10.2.78: 7681. Equations of circles Use the results of Exercises 7475 to des...
 10.2.79: 7681. Equations of circles Use the results of Exercises 7475 to des...
 10.2.80: 7681. Equations of circles Use the results of Exercises 7475 to des...
 10.2.81: 7681. Equations of circles Use the results of Exercises 7475 to des...
 10.2.82: Equations of circles Find equations of the circles in the figure. D...
 10.2.83: Vertical lines Consider the polar curve r = 2 sec u. a. Graph the c...
 10.2.84: Lines in polar coordinates a. Show that an equation of the line y =...
 10.2.85: 8588. Equations of lines Use the result of Exercise 84 to describe ...
 10.2.86: 8588. Equations of lines Use the result of Exercise 84 to describe ...
 10.2.87: 8588. Equations of lines Use the result of Exercise 84 to describe ...
 10.2.88: 8588. Equations of lines Use the result of Exercise 84 to describe ...
 10.2.89: The limaon family The equations r = a + b cos u and r = a + b sin u...
 10.2.90: Limiting limaon Consider the family of limaons r = 1 + b cos u. Des...
 10.2.91: 9194. The lemniscate family Equations of the form r2 = a sin 2u and...
 10.2.92: 9194. The lemniscate family Equations of the form r2 = a sin 2u and...
 10.2.93: 9194. The lemniscate family Equations of the form r2 = a sin 2u and...
 10.2.94: 9194. The lemniscate family Equations of the form r2 = a sin 2u and...
 10.2.95: 9598. The rose family Equations of the form r = a sin mu or r = a c...
 10.2.96: 9598. The rose family Equations of the form r = a sin mu or r = a c...
 10.2.97: 9598. The rose family Equations of the form r = a sin mu or r = a c...
 10.2.98: 9598. The rose family Equations of the form r = a sin mu or r = a c...
 10.2.99: Number of rose petals Show that the graph of r = a sin mu or r = a ...
 10.2.100: 100102. Spirals Graph the following spirals. Indicate the direction...
 10.2.101: 100102. Spirals Graph the following spirals. Indicate the direction...
 10.2.102: 100102. Spirals Graph the following spirals. Indicate the direction...
 10.2.103: 103106. Intersection points Points at which the graphs of r = f 1u2...
 10.2.104: 103106. Intersection points Points at which the graphs of r = f 1u2...
 10.2.105: 103106. Intersection points Points at which the graphs of r = f 1u2...
 10.2.106: 103106. Intersection points Points at which the graphs of r = f 1u2...
 10.2.107: Enhanced butterfly curve The butterfly curve of Example 8 is enhanc...
 10.2.108: Finger curves Consider the curve r = f 1u2 = cos au  1.5, where a ...
 10.2.109: Earth. Mars system A simplified model assumes that the orbits of Ea...
 10.2.110: Channel flow Water flows in a shallow semicircular channel with inn...
 10.2.111: Special circles Show that the equation r = a cos u + b sin u, where...
 10.2.112: Cartesian lemniscate Find the equation in Cartesian coordinates of ...
 10.2.113: Subtle symmetry Without using a graphing utility, determine the sym...
 10.2.114: Complete curves Consider the polar curve r = cos 1nu>m2, where n an...
Solutions for Chapter 10.2: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter 10.2
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 10.2 includes 114 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Since 114 problems in chapter 10.2 have been answered, more than 56936 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345.

Annuity
A sequence of equal periodic payments.

Axis of symmetry
See Line of symmetry.

Basic logistic function
The function ƒ(x) = 1 / 1 + ex

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Constant
A letter or symbol that stands for a specific number,

Direction of an arrow
The angle the arrow makes with the positive xaxis

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

End behavior asymptote of a rational function
A polynomial that the function approaches as.

Horizontal component
See Component form of a vector.

Identity properties
a + 0 = a, a ? 1 = a

Linear correlation
A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

Natural logarithmic regression
A procedure for fitting a logarithmic curve to a set of data.

Quotient identities
tan ?= sin ?cos ?and cot ?= cos ? sin ?

Reciprocal function
The function ƒ(x) = 1x

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

Remainder polynomial
See Division algorithm for polynomials.

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

Scalar
A real number.

Third quartile
See Quartile.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.