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Solutions for Chapter 5: Calculus:Early Transcendentals 7th Edition

Full solutions for Calculus:Early Transcendentals | 7th Edition

ISBN: 9780131569898

Solutions for Chapter 5

Solutions for Chapter 5
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ISBN: 9780131569898

Calculus:Early Transcendentals was written by and is associated to the ISBN: 9780131569898. This textbook survival guide was created for the textbook: Calculus:Early Transcendentals, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Since 79 problems in chapter 5 have been answered, more than 9519 students have viewed full step-by-step solutions from this chapter. Chapter 5 includes 79 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Angular speed

Speed of rotation, typically measured in radians or revolutions per unit time

• Argument of a complex number

The argument of a + bi is the direction angle of the vector {a,b}.

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Inverse cosine function

The function y = cos-1 x

• Inverse relation (of the relation R)

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

• Inverse sine function

The function y = sin-1 x

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Linear factorization theorem

A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1 - z1) 1x - i z 22 Á 1x - z n where the z1 are the zeros of ƒ

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Random variable

A function that assigns real-number values to the outcomes in a sample space.

• Relation

A set of ordered pairs of real numbers.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Symmetric difference quotient of ƒ at a

ƒ(x + h) - ƒ(x - h) 2h

• Unbounded interval

An interval that extends to -? or ? (or both).

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Vertical translation

A shift of a graph up or down.

• Ymin

The y-value of the bottom of the viewing window.

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