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# Solutions for Chapter 6: Calculus: Early Transcendentals 8th Edition ## Full solutions for Calculus: Early Transcendentals | 8th Edition

ISBN: 9781285741550 Solutions for Chapter 6

Solutions for Chapter 6
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##### ISBN: 9781285741550

Since 34 problems in chapter 6 have been answered, more than 7860 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781285741550. Chapter 6 includes 34 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 8. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Acute angle

An angle whose measure is between 0° and 90°

• Conversion factor

A ratio equal to 1, used for unit conversion

• Coordinate plane

See Cartesian coordinate system.

• Coterminal angles

Two angles having the same initial side and the same terminal side

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Horizontal asymptote

The line is a horizontal asymptote of the graph of a function ƒ if lim x:- q ƒ(x) = or lim x: q ƒ(x) = b

• Horizontal line

y = b.

• Inverse relation (of the relation R)

A relation that consists of all ordered pairs b, a for which a, b belongs to R.

• Least-squares line

See Linear regression line.

• Odd-even identity

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

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).

• Rational zeros

Zeros of a function that are rational numbers.

• Residual

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

• Speed

The magnitude of the velocity vector, given by distance/time.

• Unit circle

A circle with radius 1 centered at the origin.

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

• y-coordinate

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

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