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# Solutions for Chapter 6.5: University Calculus: Early Transcendentals 2nd Edition ## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399 Solutions for Chapter 6.5

Solutions for Chapter 6.5
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##### ISBN: 9780321717399

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6.5 includes 32 full step-by-step solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 32 problems in chapter 6.5 have been answered, more than 55096 students have viewed full step-by-step solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399.

Key Calculus Terms and definitions covered in this textbook
• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Inverse sine function

The function y = sin-1 x

• Left-hand limit of f at x a

The limit of ƒ as x approaches a from the left.

• Linear inequality in two variables x and y

An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

• Modulus

See Absolute value of a complex number.

• Negative association

A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

• nth root

See Principal nth root

• 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.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

The measure of an angle in radians, or, for a central angle, the ratio of the length of the intercepted arc tothe radius of the circle.

• Root of an equation

A solution.

• 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.

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Vertical line test

A test for determining whether a graph is a function.

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