 10.2.1: A ________ is the intersection of a plane and a doublenapped cone.
 10.2.2: When a plane passes through the vertex of a doublenapped cone, the...
 10.2.3: A collection of points satisfying a geometric property can also be ...
 10.2.4: A ________ is defined as the set of all points in a plane that are ...
 10.2.5: The line that passes through the focus and the vertex of a parabola...
 10.2.6: The ________ of a parabola is the midpoint between the focus and th...
 10.2.7: A line segment that passes through the focus of a parabola and has ...
 10.2.8: A line is ________ to a parabola at a point on the parabola when th...
 10.2.9: y 2 4x
 10.2.10: x 2 2y
 10.2.11: x 2 8y
 10.2.12: y 2 12x
 10.2.13: y 12 4x 3 y 2
 10.2.14: x 32 2y 1 y 12
 10.2.15: 4 2 2 4 2 4 6 (3, 6) y
 10.2.16: 8 4 4 8 8 (2, 6) y
 10.2.17: Focus: 0, , 0 12x
 10.2.18: Focus: 32 0, , 0 12
 10.2.19: Focus: 2, 0 0, 2
 10.2.20: Focus: 0, 2
 10.2.21: Directrix: y 1 y
 10.2.22: Directrix: y 2
 10.2.23: Directrix: x 1 x
 10.2.24: Directrix: x 3
 10.2.25: Vertical axis and passes through the point 4, 6
 10.2.26: Vertical axis and passes through the point 3, 3
 10.2.27: Horizontal axis and passes through the point 2, 5
 10.2.28: Horizontal axis and passes through the point 3, 2
 10.2.29: y 1 2x 2
 10.2.30: y 2x 2 y
 10.2.31: y 2 3x 2 6x
 10.2.32: y y 2 3x
 10.2.33: x 2 0 2 6y 0
 10.2.34: x y x 2 0 2
 10.2.35: x 1 2 8y 2 0 x y x
 10.2.36: x 5 y 1 2 0 x 1 2
 10.2.37: x 3 4y 1 2 4 y 3 2 x 5 y
 10.2.38: x 1 2 2 x 3 4y 1 2 4 y
 10.2.39: y 2 2y 33 1 4x 2 2x 5 x 1
 10.2.40: x 1 4y y 2 2y 33 1 4x
 10.2.41: y 2 4y 4x 0 2 6y 8x 25 0 x
 10.2.42: y y 2 4y 4x 0 2
 10.2.43: x 2 2x 8y 9 0 2 4x 6y 2 0 Copyr
 10.2.44: x x 2 2x 8y 9 0 2
 10.2.45: y 2 4x 4 0 2 x y 0 x x
 10.2.46: y y 2 4x 4 0 2
 10.2.47: y (2, 0)
 10.2.48: (4.5, 4) (5, 3) y
 10.2.49: ( 4, 0) y
 10.2.50: 8 12 4 (3, 3) (0, 0) y
 10.2.51: Vertex: focus:
 10.2.52: Vertex: focus:
 10.2.53: Vertex: directrix:
 10.2.54: Vertex: directrix:
 10.2.55: Focus: directrix:
 10.2.56: Focus: directrix:
 10.2.57: x 4, 8 2
 10.2.58: x x 4, 8 2 2y, 2
 10.2.59: 2x 1, 2 , 2,
 10.2.60: 2x 2, 8 2
 10.2.61: Highway Design Highway engineers design a parabolic curve for an en...
 10.2.62: Road Design Roads are often designed with parabolic surfaces to all...
 10.2.63: Flashlight The light bulb in a flashlight is at the focus of a para...
 10.2.64: Satellite Antenna Write an equation for a cross section of the para...
 10.2.65: Beam Deflection A simply supported beam is 64 feet long and has a l...
 10.2.66: Beam Deflection Repeat Exercise 65 when the length of the beam is 3...
 10.2.67: Fluid Flow Water is flowing from a horizontal pipe 48 feet above th...
 10.2.68: Window Design A church window (see figure) is bounded above by a pa...
 10.2.69: Archway A parabolic archway (see figure) is 12 meters high at the v...
 10.2.70: Lattice Arch A parabolic lattice arch is 8 feet high at the vertex....
 10.2.71: Suspension Bridge Each cable of a suspension bridge is suspended (i...
 10.2.72: Suspension Bridge Each cable of the Golden Gate Bridge is suspended...
 10.2.73: Weather Satellite Orbit A weather satellite in a 100milehigh circ...
 10.2.74: Path of a Softball The path of a softball is modeled by where the c...
 10.2.75: A ball is thrown from the top of a 100foot tower with a velocity o...
 10.2.76: A cargo plane is flying at an altitude of 500 feet and a speed of 1...
 10.2.77: It is possible for a parabola to intersect its directrix.
 10.2.78: If the vertex and focus of a parabola are on a horizontal line, the...
 10.2.79: Slope of a Tangent Line Let be the coordinates of a point on the pa...
 10.2.80: Think About It Explain what each of the following equations represe...
 10.2.81: Think About It The equation is a degenerate conic. Sketch the graph...
 10.2.82: HOW DO YOU SEE IT? In parts (a)(d), describe how a plane could inte...
 10.2.83: Graphical Reasoning Consider the parabola (a) Use a graphing utilit...
 10.2.84: Geometry The area of the shaded region in the figure is (a) Find th...
Solutions for Chapter 10.2: Introduction to Conics: Parabolas
Full solutions for Precalculus with Limits  3rd Edition
ISBN: 9781133947202
Solutions for Chapter 10.2: Introduction to Conics: Parabolas
Get Full SolutionsSince 84 problems in chapter 10.2: Introduction to Conics: Parabolas have been answered, more than 34796 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 10.2: Introduction to Conics: Parabolas includes 84 full stepbystep solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202. This textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3.

Augmented matrix
A matrix that represents a system of equations.

Base
See Exponential function, Logarithmic function, nth power of a.

Central angle
An angle whose vertex is the center of a circle

Conjugate axis of a hyperbola
The line segment of length 2b that is perpendicular to the focal axis and has the center of the hyperbola as its midpoint

Definite integral
The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

Dependent event
An event whose probability depends on another event already occurring

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

Frequency distribution
See Frequency table.

Magnitude of a real number
See Absolute value of a real number

Measure of an angle
The number of degrees or radians in an angle

Pascal’s triangle
A number pattern in which row n (beginning with n = 02) consists of the coefficients of the expanded form of (a+b)n.

Pole
See Polar coordinate system.

Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Remainder polynomial
See Division algorithm for polynomials.

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt

Transverse axis
The line segment whose endpoints are the vertices of a hyperbola.

Unbounded interval
An interval that extends to ? or ? (or both).