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# 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

Solutions for Chapter 8.1
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##### ISBN: 9780321656933

Since 86 problems in chapter 8.1: Analytic Geometry in Two and Three Dimensions have been answered, more than 45892 students have viewed full step-by-step 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 step-by-step solutions. Precalculus: Graphical, Numerical, Algebraic was written by and is associated to the ISBN: 9780321656933.

Key Calculus Terms and definitions covered in this textbook
• 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.

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>

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

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

• yz-plane

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

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