 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 43194 students have viewed full stepbystep solutions from this chapter. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933.

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Census
An observational study that gathers data from an entire population

Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.

Inequality
A statement that compares two quantities using an inequality symbol

Infinite limit
A special case of a limit that does not exist.

Inverse composition rule
The composition of a onetoone function with its inverse results in the identity function.

Leibniz notation
The notation dy/dx for the derivative of ƒ.

Local extremum
A local maximum or a local minimum

Major axis
The line segment through the foci of an ellipse with endpoints on the ellipse

Multiplicative inverse of a complex number
The reciprocal of a + bi, or 1 a + bi = a a2 + b2 ba2 + b2 i

Natural logarithmic function
The inverse of the exponential function y = ex, denoted by y = ln x.

Normal curve
The graph of ƒ(x) = ex2/2

Oddeven identity
For a basic trigonometric function f, an identity relating f(x) to f(x).

Product of functions
(ƒg)(x) = ƒ(x)g(x)

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

Righthand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.

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.

Tangent line of ƒ at x = a
The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

Unit ratio
See Conversion factor.

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.