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# Solutions for Chapter 6.PE: University Calculus: Early Transcendentals 2nd Edition

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

ISBN: 9780321717399

Solutions for Chapter 6.PE

Solutions for Chapter 6.PE
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##### ISBN: 9780321717399

This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Chapter 6.PE includes 38 full step-by-step solutions. Since 38 problems in chapter 6.PE have been answered, more than 57664 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Compounded monthly

See Compounded k times per year.

• Constant

A letter or symbol that stands for a specific number,

• Convergence of a series

A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• 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.

• Inverse cosine function

The function y = cos-1 x

• 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

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

A procedure for fitting a quadratic function to a set of data.

• Reference angle

See Reference triangle

• Simple harmonic motion

Motion described by d = a sin wt or d = a cos wt

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Sum of a finite geometric series

Sn = a111 - r n 2 1 - r

• Tangent

The function y = tan x

• Triangular number

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

• Unbounded interval

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

• Xscl

The scale of the tick marks on the x-axis in a viewing window.

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