 8.4.8.1.1.259: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.260: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.261: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.262: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.263: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.264: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.265: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.266: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.267: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.268: In Exercises 110, use trigonometric identities and assume 0 /2.Give...
 8.4.8.1.1.269: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.270: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.271: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.272: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.273: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.274: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.275: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.276: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.277: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.278: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.279: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.280: In Exercises 112, solve for y, and use a function grapher to graph ...
 8.4.8.1.1.281: In Exercises 1316, write an equation in standard form for the conic...
 8.4.8.1.1.282: In Exercises 1316, write an equation in standard form for the conic...
 8.4.8.1.1.283: In Exercises 1316, write an equation in standard form for the conic...
 8.4.8.1.1.284: In Exercises 1316, write an equation in standard form for the conic...
 8.4.8.1.1.285: In Exercises 1720, using the point and the translation information,...
 8.4.8.1.1.286: In Exercises 1720, using the point and the translation information,...
 8.4.8.1.1.287: In Exercises 1720, using the point and the translation information,...
 8.4.8.1.1.288: In Exercises 1720, using the point and the translation information,...
 8.4.8.1.1.289: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.290: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.291: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.292: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.293: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.294: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.295: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.296: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.297: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.298: In Exercises 2130, identify the type of conic, write the equation i...
 8.4.8.1.1.299: Writing to Learn Translation Formulas Use the geometric relationshi...
 8.4.8.1.1.300: Translation Formulas Prove that if and y = y + k x = x  h y = y  k.
 8.4.8.1.1.301: In Exercises 3336, using the point and the rotation information, fi...
 8.4.8.1.1.302: In Exercises 3336, using the point and the rotation information, fi...
 8.4.8.1.1.303: In Exercises 3336, using the point and the rotation information, fi...
 8.4.8.1.1.304: In Exercises 3336, using the point and the rotation information, fi...
 8.4.8.1.1.305: In Exercises 37 40, identify the type of conic, and rotate the coor...
 8.4.8.1.1.306: In Exercises 37 40, identify the type of conic, and rotate the coor...
 8.4.8.1.1.307: In Exercises 37 40, identify the type of conic, and rotate the coor...
 8.4.8.1.1.308: In Exercises 37 40, identify the type of conic, and rotate the coor...
 8.4.8.1.1.309: In Exercises 41 and 42, identify the type of conic, solve for y, an...
 8.4.8.1.1.310: In Exercises 41 and 42, identify the type of conic, solve for y, an...
 8.4.8.1.1.311: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.312: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.313: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.314: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.315: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.316: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.317: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.318: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.319: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.320: In Exercises 4352, use the discriminant to decide whether the equat...
 8.4.8.1.1.321: Revisiting Example 5 Using the results of Example 5, find the cente...
 8.4.8.1.1.322: Revisiting Examples 3 and 6 Use information from Examples 3 and 6 (...
 8.4.8.1.1.323: Rotation Formulas Prove and using the geometric relationships illus...
 8.4.8.1.1.324: Rotation Formulas Prove that if and , then and
 8.4.8.1.1.325: True or False The graph of the equation (A and C not both zero) has...
 8.4.8.1.1.326: True or False The graph of the equation is a circle or a degenerate...
 8.4.8.1.1.327: Which of the following is not a reason to translate the axes of a c...
 8.4.8.1.1.328: Which of the following is not a reason to rotate the axes of a coni...
 8.4.8.1.1.329: The vertices of are (A) 1 4, . (B) 1 3, . (C) 4 1, 3 . (D) 4 2, 3 ....
 8.4.8.1.1.330: The asymptotes of the hyperbola are (A) (B) (C) (D) (E) the coordin...
 8.4.8.1.1.331: Axes of Oblique Conics The axes of conics that are not aligned with...
 8.4.8.1.1.332: The Discriminant Determine what happens to the sign of within the e...
 8.4.8.1.1.333: Group Activity Working together, prove that the formulas for the co...
 8.4.8.1.1.334: Identifying a Conic Develop a way to decide whether , with A and C ...
 8.4.8.1.1.335: Rotational Invariant Prove that 4AC when the xycoordinate system i...
 8.4.8.1.1.336: Other Rotational Invariants Prove that each of the following are in...
 8.4.8.1.1.337: Degenerate Conics Graph all of the degenerate conics listed in Tabl...
Solutions for Chapter 8.4: Analytic Geometry in Two and Three Dimensions
Full solutions for Precalculus: Graphical, Numerical, Algebraic  8th Edition
ISBN: 9780321656933
Solutions for Chapter 8.4: Analytic Geometry in Two and Three Dimensions
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus: Graphical, Numerical, Algebraic, edition: 8th Edition. Chapter 8.4: Analytic Geometry in Two and Three Dimensions includes 79 full stepbystep solutions. Since 79 problems in chapter 8.4: Analytic Geometry in Two and Three Dimensions have been answered, more than 29888 students have viewed full stepbystep solutions from this chapter. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933.

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.

Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal

Bar chart
A rectangular graphical display of categorical data.

Equivalent systems of equations
Systems of equations that have the same solution.

Inductive step
See Mathematical induction.

Infinite sequence
A function whose domain is the set of all natural numbers.

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.

Inverse secant function
The function y = sec1 x

Linear system
A system of linear equations

Logarithmic form
An equation written with logarithms instead of exponents

Main diagonal
The diagonal from the top left to the bottom right of a square matrix

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

Parametric equations
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

Real number line
A horizontal line that represents the set of real numbers.

Slopeintercept form (of a line)
y = mx + b

Solve an equation or inequality
To find all solutions of the equation or inequality

Tangent
The function y = tan x

Vertex of an angle
See Angle.

Vertical translation
A shift of a graph up or down.

xyplane
The points x, y, 0 in Cartesian space.