 8.1.8.1.1.1: In Exercises 1 and 2, find the distance between the given points.. ...
 8.1.8.1.1.2: In Exercises 1 and 2, find the distance between the given points. 2...
 8.1.8.1.1.3: In Exercises 3 and 4, solve for y in terms of x.2y2= 8x
 8.1.8.1.1.4: In Exercises 3 and 4, solve for y in terms of x.3y2 = 15x
 8.1.8.1.1.5: In Exercises 5 and 6, complete the square to rewrite the equation i...
 8.1.8.1.1.6: In Exercises 5 and 6, complete the square to rewrite the equation i...
 8.1.8.1.1.7: In Exercises 7 and 8, find the vertex and axis of the graph of . De...
 8.1.8.1.1.8: In Exercises 7 and 8, find the vertex and axis of the graph of . De...
 8.1.8.1.1.9: In Exercises 9 and 10, write an equation for the quadratic function...
 8.1.8.1.1.10: In Exercises 9 and 10, write an equation for the quadratic function...
 8.1.8.1.1.11: In Exercises 16, find the vertex, focus, directrix, and focal width...
 8.1.8.1.1.12: In Exercises 16, find the vertex, focus, directrix, and focal width...
 8.1.8.1.1.13: In Exercises 16, find the vertex, focus, directrix, and focal width...
 8.1.8.1.1.14: In Exercises 16, find the vertex, focus, directrix, and focal width...
 8.1.8.1.1.15: In Exercises 16, find the vertex, focus, directrix, and focal width...
 8.1.8.1.1.16: In Exercises 16, find the vertex, focus, directrix, and focal width...
 8.1.8.1.1.17: In Exercises 710, match the graph with its equation.x2 = 3y
 8.1.8.1.1.18: In Exercises 710, match the graph with its equation.x 2 = 4y
 8.1.8.1.1.19: In Exercises 710, match the graph with its equation.y2 = 5x
 8.1.8.1.1.20: In Exercises 710, match the graph with its equation.2 y = 10x
 8.1.8.1.1.21: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.22: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.23: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.24: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.25: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.26: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.27: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.28: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.29: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.30: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.31: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.32: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.33: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.34: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.35: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.36: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.37: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.38: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.39: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.40: In Exercises 1130, find an equation in standard form for the parabo...
 8.1.8.1.1.41: In Exercises 3136, sketch the graph of the parabola by hand.2 = 4x
 8.1.8.1.1.42: In Exercises 3136, sketch the graph of the parabola by hand.x 2 y = 8y
 8.1.8.1.1.43: In Exercises 3136, sketch the graph of the parabola by hand.1x + 42...
 8.1.8.1.1.44: In Exercises 3136, sketch the graph of the parabola by hand.1y + 22...
 8.1.8.1.1.45: In Exercises 3136, sketch the graph of the parabola by hand.1y  12...
 8.1.8.1.1.46: In Exercises 3136, sketch the graph of the parabola by hand.1x  52...
 8.1.8.1.1.47: In Exercises 3748, graph the parabola using a function grapher.y = ...
 8.1.8.1.1.48: In Exercises 3748, graph the parabola using a function grapher.y = ...
 8.1.8.1.1.49: In Exercises 3748, graph the parabola using a function grapher.x = ...
 8.1.8.1.1.50: In Exercises 3748, graph the parabola using a function grapher.x = 2y2
 8.1.8.1.1.51: In Exercises 3748, graph the parabola using a function grapher.121y...
 8.1.8.1.1.52: In Exercises 3748, graph the parabola using a function grapher.61y ...
 8.1.8.1.1.53: In Exercises 3748, graph the parabola using a function grapher.2  ...
 8.1.8.1.1.54: In Exercises 3748, graph the parabola using a function grapher.1x +...
 8.1.8.1.1.55: In Exercises 3748, graph the parabola using a function grapher.1y +...
 8.1.8.1.1.56: In Exercises 3748, graph the parabola using a function grapher.1y ...
 8.1.8.1.1.57: In Exercises 3748, graph the parabola using a function grapher.1y +...
 8.1.8.1.1.58: In Exercises 3748, graph the parabola using a function grapher.1y ...
 8.1.8.1.1.59: In Exercises 4952, prove that the graph of the equation is a parabo...
 8.1.8.1.1.60: In Exercises 4952, prove that the graph of the equation is a parabo...
 8.1.8.1.1.61: In Exercises 4952, prove that the graph of the equation is a parabo...
 8.1.8.1.1.62: In Exercises 4952, prove that the graph of the equation is a parabo...
 8.1.8.1.1.63: In Exercises 5356, write an equation for the parabola.
 8.1.8.1.1.64: In Exercises 5356, write an equation for the parabola.
 8.1.8.1.1.65: In Exercises 5356, write an equation for the parabola.
 8.1.8.1.1.66: In Exercises 5356, write an equation for the parabola.
 8.1.8.1.1.67: Writing to Learn Explain why the derivation of is valid regardless ...
 8.1.8.1.1.68: Writing to Learn Prove that an equation for the parabola with focus...
 8.1.8.1.1.69: Designing a Flashlight Mirror The mirror of a flashlight is a parab...
 8.1.8.1.1.70: Designing a Satellite Dish The reflector of a television satellite ...
 8.1.8.1.1.71: Parabolic Microphones The Sports Channel uses a parabolic microphon...
 8.1.8.1.1.72: Parabolic Headlights Stein Glass, Inc., makes parabolic headlights ...
 8.1.8.1.1.73: Group Activity Designing a Suspension Bridge The main cables of a s...
 8.1.8.1.1.74: Group Activity Designing a Bridge Arch Parabolic arches are known t...
 8.1.8.1.1.75: True or False Every point on a parabola is the same distance from i...
 8.1.8.1.1.76: True or False The directrix of a parabola is parallel to the parabo...
 8.1.8.1.1.77: Which of the following curves is not a conic section? (A) Circle (B...
 8.1.8.1.1.78: Which point do all conics of the form have in common? (A) (B) (C) (...
 8.1.8.1.1.79: The focus of is (A) 3, 3 . (B) 3, 0 . (C) 0, 3 . (D) 0, 0 . (E)
 8.1.8.1.1.80: The vertex of is (A) 3, . (B) , . (C) , 2 . (D) , 3 . (E)
 8.1.8.1.1.81: Dynamically Constructing a Parabola Use a geometry software package...
 8.1.8.1.1.82: Constructing Points of a Parabola Use a geometry software package, ...
 8.1.8.1.1.83: Degenerate Cones and Degenerate Conics Degenerate cones occur when ...
 8.1.8.1.1.84: Tangent Lines A tangent line of a parabola is a line that intersect...
 8.1.8.1.1.85: Focal Chords A focal chord of a parabola is a chord of the parabola...
 8.1.8.1.1.86: Latus Rectum The focal chord of a parabola perpendicular to the axi...
Solutions for Chapter 8.1: Analytic Geometry in Two and Three Dimensions
Full solutions for Precalculus: Graphical, Numerical, Algebraic  8th Edition
ISBN: 9780321656933
Solutions for Chapter 8.1: Analytic Geometry in Two and Three Dimensions
Get Full SolutionsSince 86 problems in chapter 8.1: Analytic Geometry in Two and Three Dimensions have been answered, more than 45892 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 8.1: Analytic Geometry in Two and Three Dimensions includes 86 full stepbystep solutions. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933.

Acute angle
An angle whose measure is between 0° and 90°

Arc length formula
The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

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

De Moivre’s theorem
(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

Determinant
A number that is associated with a square matrix

Divergence
A sequence or series diverges if it does not converge

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

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Multiplication principle of counting
A principle used to find the number of ways an event can occur.

Parabola
The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Secant
The function y = sec x.

Solution set of an inequality
The set of all solutions of an inequality

Square matrix
A matrix whose number of rows equals the number of columns.

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

Symmetric about the yaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

yzplane
The points (0, y, z) in Cartesian space.