 10.4.1: Fill in the blanks. A ________ is the set of all points in a plane,...
 10.4.2: Fill in the blanks. The graph of a hyperbola has two disconnected p...
 10.4.3: Fill in the blanks. The line segment connecting the vertices of a h...
 10.4.4: Fill in the blanks. Each hyperbola has two ________ that intersect ...
 10.4.5: Fill in the blanks. The general form of the equation of a conic is ...
 10.4.6: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.7: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.8: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.9: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.10: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.11: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.12: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.13: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.14: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.15: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.16: In Exercises 516, find the center, vertices, foci, and the equation...
 10.4.17: In Exercises 1720, find the center, vertices, foci, and the equatio...
 10.4.18: In Exercises 1720, find the center, vertices, foci, and the equatio...
 10.4.19: In Exercises 1720, find the center, vertices, foci, and the equatio...
 10.4.20: In Exercises 1720, find the center, vertices, foci, and the equatio...
 10.4.21: In Exercises 2126, find the standard form of the equation of the hy...
 10.4.22: In Exercises 2126, find the standard form of the equation of the hy...
 10.4.23: In Exercises 2126, find the standard form of the equation of the hy...
 10.4.24: In Exercises 2126, find the standard form of the equation of the hy...
 10.4.25: In Exercises 2126, find the standard form of the equation of the hy...
 10.4.26: In Exercises 2126, find the standard form of the equation of the hy...
 10.4.27: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.28: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.29: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.30: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.31: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.32: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.33: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.34: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.35: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.36: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.37: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.38: In Exercises 2738, find the standard form of the equation of the hy...
 10.4.39: Art A sculpture has a hyperbolic cross section (see figure). (a) Wr...
 10.4.40: Sound Location You and a friend live 4 miles apart (on the same eas...
 10.4.41: Sound Location Three listening stations located at and monitor an e...
 10.4.42: LORAN Long distance radio navigation for aircraft and ships uses sy...
 10.4.43: Hyperbolic Mirror A hyperbolic mirror (used in some telescopes) has...
 10.4.44: Running Path Let represent a water fountain located in a city park....
 10.4.45: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.46: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.47: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.48: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.49: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.50: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.51: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.52: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.53: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.54: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.55: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.56: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.57: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.58: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.59: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.60: In Exercises 4560, classify the graph of the equation as a circle, ...
 10.4.61: True or False? In Exercises 61 and 62, determine whether the statem...
 10.4.62: True or False? In Exercises 61 and 62, determine whether the statem...
 10.4.63: Consider a hyperbola centered at the origin with a horizontal trans...
 10.4.64: Writing Explain how the central rectangle of a hyperbola can be use...
 10.4.65: Think About It Change the equation of the hyperbola so that its gra...
 10.4.66: Exploration A circle and a parabola can have 0, 1, 2, 3, or 4 point...
 10.4.67: In Exercises 6772, factor the polynomial completely.
 10.4.68: In Exercises 6772, factor the polynomial completely.
 10.4.69: In Exercises 6772, factor the polynomial completely.
 10.4.70: In Exercises 6772, factor the polynomial completely.
 10.4.71: In Exercises 6772, factor the polynomial completely.
 10.4.72: In Exercises 6772, factor the polynomial completely.
 10.4.73: In Exercises 7376, sketch a graph of the function. Include two full...
 10.4.74: In Exercises 7376, sketch a graph of the function. Include two full...
 10.4.75: In Exercises 7376, sketch a graph of the function. Include two full...
 10.4.76: In Exercises 7376, sketch a graph of the function. Include two full...
Solutions for Chapter 10.4: Hyperbolas
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 10.4: Hyperbolas
Get Full SolutionsSince 76 problems in chapter 10.4: Hyperbolas have been answered, more than 14366 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Chapter 10.4: Hyperbolas includes 76 full stepbystep solutions.

Average rate of change of ƒ over [a, b]
The number ƒ(b)  ƒ(a) b  a, provided a ? b.

Bounded
A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

Categorical variable
In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

Complex conjugates
Complex numbers a + bi and a  bi

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

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

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Gaussian elimination
A method of solving a system of n linear equations in n unknowns.

Instantaneous rate of change
See Derivative at x = a.

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

Quadrant
Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Quotient polynomial
See Division algorithm for polynomials.

Range screen
See Viewing window.

Rectangular coordinate system
See Cartesian coordinate system.

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Xscl
The scale of the tick marks on the xaxis in a viewing window.
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