 11.4.1: In Exercises 14, match each equation with the corresponding hyperbola.
 11.4.2: In Exercises 14, match each equation with the corresponding hyperbola.
 11.4.3: In Exercises 14, match each equation with the corresponding hyperbola.
 11.4.4: In Exercises 14, match each equation with the corresponding hyperbola.
 11.4.5: In Exercises 516, graph each hyperbola.
 11.4.6: In Exercises 516, graph each hyperbola.
 11.4.7: In Exercises 516, graph each hyperbola.
 11.4.8: In Exercises 516, graph each hyperbola.
 11.4.9: In Exercises 516, graph each hyperbola.
 11.4.10: In Exercises 516, graph each hyperbola.
 11.4.11: In Exercises 516, graph each hyperbola.
 11.4.12: In Exercises 516, graph each hyperbola.
 11.4.13: In Exercises 516, graph each hyperbola.
 11.4.14: In Exercises 516, graph each hyperbola.
 11.4.15: In Exercises 516, graph each hyperbola.
 11.4.16: In Exercises 516, graph each hyperbola.
 11.4.17: In Exercises 1724, find the standard form of an equation of the hyp...
 11.4.18: In Exercises 1724, find the standard form of an equation of the hyp...
 11.4.19: In Exercises 1724, find the standard form of an equation of the hyp...
 11.4.20: In Exercises 1724, find the standard form of an equation of the hyp...
 11.4.21: In Exercises 1724, find the standard form of an equation of the hyp...
 11.4.22: In Exercises 1724, find the standard form of an equation of the hyp...
 11.4.23: In Exercises 1724, find the standard form of an equation of the hyp...
 11.4.24: In Exercises 1724, find the standard form of an equation of the hyp...
 11.4.25: In Exercises 2528, match each equation with the hyperbola
 11.4.26: In Exercises 2528, match each equation with the hyperbola
 11.4.27: In Exercises 2528, match each equation with the hyperbola
 11.4.28: In Exercises 2528, match each equation with the hyperbola
 11.4.29: In Exercises 2938, graph each hyperbola
 11.4.30: In Exercises 2938, graph each hyperbola
 11.4.31: In Exercises 2938, graph each hyperbola
 11.4.32: In Exercises 2938, graph each hyperbola
 11.4.33: In Exercises 2938, graph each hyperbola
 11.4.34: In Exercises 2938, graph each hyperbola
 11.4.35: In Exercises 2938, graph each hyperbola
 11.4.36: In Exercises 2938, graph each hyperbola
 11.4.37: In Exercises 2938, graph each hyperbola
 11.4.38: In Exercises 2938, graph each hyperbola
 11.4.39: In Exercises 3942, find the standard form of the equation of a hype...
 11.4.40: In Exercises 3942, find the standard form of the equation of a hype...
 11.4.41: In Exercises 3942, find the standard form of the equation of a hype...
 11.4.42: In Exercises 3942, find the standard form of the equation of a hype...
 11.4.43: Two loran stations are located 150 miles apart along a coast. If a ...
 11.4.44: Two loran stations are located 300 miles apart along a coast. If a ...
 11.4.45: If the captain of the ship in Exercise 43 wants to reach shore betw...
 11.4.46: If the captain of the ship in Exercise 44 wants to reach shore betw...
 11.4.47: If the light from a lamp casts a hyperbolic pattern on the wall due...
 11.4.48: A military special ops team is calibrating its recording devices us...
 11.4.49: Find the diameter of the top of the cooling tower to the nearest foot.
 11.4.50: Find the diameter of the top of the cooling tower to the nearest foot.
 11.4.51: Graph the hyperbola Solution: Compare the equation to the standard ...
 11.4.52: Graph the hyperbola Solution: Compare the equation to the general f...
 11.4.53: If you know the vertices of a hyperbola, you can determine the equa...
 11.4.54: If you know the foci and vertices, you can determine the equation f...
 11.4.55: Hyperbolas centered at the origin have symmetry with respect to the...
 11.4.56: The center and foci are part of the graph of a hyperbola.
 11.4.57: Find the general equation of a hyperbola whose asymptotes are perpe...
 11.4.58: Find the general equation of a hyperbola whose vertices are and and...
 11.4.59: Graph the following three hyperbolas: and What can be said to happe...
 11.4.60: Graph the following three hyperbolas: and What can be said to happe...
 11.4.61: Graph the following three hyperbolas: x2 y2 1, 0.5x2 y2 1, and 0.05...
 11.4.62: Graph the following three hyperbolas: x2 y2 1, x2 0.5y2 1, and x2 0...
Solutions for Chapter 11.4: The Hyperbola
Full solutions for Algebra and Trigonometry,  3rd Edition
ISBN: 9780840068132
Solutions for Chapter 11.4: The Hyperbola
Get Full SolutionsSince 62 problems in chapter 11.4: The Hyperbola have been answered, more than 44766 students have viewed full stepbystep solutions from this chapter. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132. Chapter 11.4: The Hyperbola includes 62 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3.

Absolute minimum
A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

Boundary
The set of points on the “edge” of a region

Census
An observational study that gathers data from an entire population

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

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

Dihedral angle
An angle formed by two intersecting planes,

Directed line segment
See Arrow.

Distance (in a coordinate plane)
The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1  x 2)2 + (y1  y2)2

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Identity function
The function ƒ(x) = x.

Lefthand limit of f at x a
The limit of ƒ as x approaches a from the left.

Multiplicative inverse of a matrix
See Inverse of a matrix

Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

Negative linear correlation
See Linear correlation.

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Sample standard deviation
The standard deviation computed using only a sample of the entire population.

Viewing window
The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].