# Solutions for Chapter 8.7: Thomas' Calculus: Early Transcendentals 13th Edition ## Full solutions for Thomas' Calculus: Early Transcendentals | 13th Edition

ISBN: 9780321884077 Solutions for Chapter 8.7

Solutions for Chapter 8.7
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##### ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. Since 40 problems in chapter 8.7 have been answered, more than 40184 students have viewed full step-by-step solutions from this chapter. Chapter 8.7 includes 40 full step-by-step solutions. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Anchor

See Mathematical induction.

• Angle between vectors

The angle formed by two nonzero vectors sharing a common initial point

• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Binomial coefficients

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

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Graph of a function ƒ

The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

• Interval notation

Notation used to specify intervals, pp. 4, 5.

• Jump discontinuity at x a

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

• Major axis

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

A measure that tells how widely distributed data are.

• 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).

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Real number

Any number that can be written as a decimal.

• Solve a triangle

To find one or more unknown sides or angles of a triangle

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Vertical line test

A test for determining whether a graph is a function.

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