 11.5.1: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.2: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.3: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.4: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.5: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.6: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.7: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.8: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.9: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.10: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.11: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.12: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.13: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.14: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.15: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.16: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.17: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.18: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.19: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.20: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.21: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.22: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.23: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.24: For Exercises 124, graph the hyperbolas. In each case in which the ...
 11.5.25: Let P(x, y) be a point in the first quadrant on the hyperbola (x2 /...
 11.5.26: The distance PQ in Exercise 25 represents the vertical distance bet...
 11.5.27: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.28: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.29: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.30: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.31: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.32: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.33: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.34: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.35: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.36: In Exercises 2736, determine the equation of the hyperbola satisfyi...
 11.5.37: Show that the two asymptotes of the hyperbola x2 y2 16 are perpendi...
 11.5.38: (a) Verify that the point P(6, ) lies on the hyperbola 16x2 9y2 144...
 11.5.39: (a) Verify that the point P(5, 6) lies on the hyperbola 5y2 4x2 80....
 11.5.40: In this exercise you will look at the graph of the hyperbola 16x2 9...
 11.5.41: In this exercise we graph the hyperbola 1y 32 2 52 1x 42 2 32 1(a) ...
 11.5.42: In this exercise we graph a hyperbola in which the axes of the curv...
 11.5.43: Use the technique indicated in Exercise 42 to graph the hyperbola U...
 11.5.44: (a) Let e1 denote the eccentricity of the hyperbola x2 /42 y2 /32 1...
 11.5.45: (a) If the hyperbola x2 /a2 y2 /b2 1 has perpendicular asymptotes, ...
 11.5.46: Derive equation (1) on page 857 from the equation that precedes it
 11.5.47: Let P(x, y) be a point on the righthand branch of the hyperbola x2...
 11.5.48: Let P(x, y) be a point on the righthand branch of the hyperbola x2...
 11.5.49: Let P be a point on the righthand branch of the hyperbola x2 y2 k2...
 11.5.50: Let P(x, y) be a point on the righthand branch of the hyperbola x2...
 11.5.51: By solving the system show that the line and the hyperbola intersec...
 11.5.52: In Exercises 5254, find the equation of the line that is tangent to...
 11.5.53: In Exercises 5254, find the equation of the line that is tangent to...
 11.5.54: In Exercises 5254, find the equation of the line that is tangent to...
 11.5.55: Complete the derivation of equation (2), the standard form for an e...
 11.5.56: We define a tangent line to a hyperbola as a line that is not paral...
 11.5.57: The normal line to a hyperbola at a point P on the hyperbola is the...
 11.5.58: Suppose the point P(x1, y1) is on the hyperbola x2 /a2 y2 /b2 1. A ...
 11.5.59: At the point P on the hyperbola x2 /a2 y2 /b2 1, a tangent line is ...
Solutions for Chapter 11.5: THE HYPERBOLA
Full solutions for Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign)  4th Edition
ISBN: 9780534402303
Solutions for Chapter 11.5: THE HYPERBOLA
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign), edition: 4. Precalculus: With Unit Circle Trigonometry (with Interactive Video Skillbuilder CDROM) (Available 2010 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780534402303. Chapter 11.5: THE HYPERBOLA includes 59 full stepbystep solutions. Since 59 problems in chapter 11.5: THE HYPERBOLA have been answered, more than 25573 students have viewed full stepbystep solutions from this chapter.

Circle
A set of points in a plane equally distant from a fixed point called the center

Divergence
A sequence or series diverges if it does not converge

DMS measure
The measure of an angle in degrees, minutes, and seconds

Focal length of a parabola
The directed distance from the vertex to the focus.

Inverse of a matrix
The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

Logistic regression
A procedure for fitting a logistic curve to a set of data

Mapping
A function viewed as a mapping of the elements of the domain onto the elements of the range

Multiplicative inverse of a real number
The reciprocal of b, or 1/b, b Z 0

Onetoone rule of exponents
x = y if and only if bx = by.

Parameter interval
See Parametric equations.

Polar equation
An equation in r and ?.

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Terminal point
See Arrow.

Time plot
A line graph in which time is measured on the horizontal axis.

Unit ratio
See Conversion factor.

Variable (in statistics)
A characteristic of individuals that is being identified or measured.

Vertical stretch or shrink
See Stretch, Shrink.