 8.4.14E: Properties of series Use the properties of infinite series to evalu...
 8.4.55AE: Property of divergent series Prove that if ?ak diverges, then ?cak ...
 8.4.32E: pseries Determine the convergence or divergence of the following s...
 8.4.63AE:
 8.4.44E: Choose your test Determine whether the following series converge or...
 8.4.59AE: Reciprocals of odd squares Given that (Exercises 57 and 58) and tha...
 8.4.22E: Divergence Test Use the Divergence Test to determine whether the fo...
 8.4.13E: Properties of series Use the properties of infinite series to evalu...
 8.4.24E: Integral Test Use the integral Test to determine the convergence or...
 8.4.47E: Choose your test Determine whether the following series converge or...
 8.4.19E: Divergence Test Use the Divergence Test to determine whether the fo...
 8.4.31E: pseries Determine the convergence or divergence of the following s...
 8.4.58AE: Showing that In 1734, Leonhard Euler informally proved that . An el...
 8.4.15E: Divergence Test Use the Divergence Test to determine whether the fo...
 8.4.61AE: A sequence of sums Consider the sequence {xn} defined for n = 1, 2,...
 8.4.18E: Divergence Test Use the Divergence Test to determine whether the fo...
 8.4.17E: Divergence Test Use the Divergence Test to determine whether the fo...
 8.4.53AE: A divergence proof Give an argument, similar to that given in the t...
 8.4.57AE: The zeta function The Riemann zeta function is the subject of exten...
 8.4.39E: Remainders and estimates Consider the following convergent scries.a...
 8.4.43E: Explain why or why not Determine whether the following statements a...
 8.4.20E: Divergence Test Use the Divergence Test to determine whether the fo...
 8.4.54AE: Properties proof Use the ideas in the proof of Properly 1 of Theore...
 8.4.8E: If a series of positive terms converges, does it follow that the re...
 8.4.26E: Integral Test Use the integral Test to determine the convergence or...
 8.4.49E: Choose your test Determine whether the following series converge or...
 8.4.27E: Integral Test Use the integral Test to determine the convergence or...
 8.4.11E: Properties of series Use the properties of infinite series to evalu...
 8.4.37E: Remainders and estimates Consider the following convergent scries.a...
 8.4.62AE: The harmonic series and Euler's constanta. Sketch the function f(x)...
 8.4.45E: Choose your test Determine whether the following series converge or...
 8.4.38E: Remainders and estimates Consider the following convergent scries.a...
 8.4.4E: For what values of p does the series converge? For what values of p...
 8.4.16E: Divergence Test Use the Divergence Test to determine whether the fo...
 8.4.25E: Integral Test Use the integral Test to determine the convergence or...
 8.4.30E: Integral Test Use the integral Test to determine the convergence or...
 8.4.6E: Explain why the sequence of partial sums for a series with positive...
 8.4.33E: pseries Determine the convergence or divergence of the following s...
 8.4.56AE: Prime numbers The prime numbers are those positive integers that ar...
 8.4.23E: Integral Test Use the integral Test to determine the convergence or...
 8.4.9E: Properties of series Use the properties of infinite series to evalu...
 8.4.40E: Remainders and estimates Consider the following convergent scries.a...
 8.4.48E: Choose your test Determine whether the following series converge or...
 8.4.60AE: Shifted pseries Consider the sequence {Fn}defined by for n = 0, 1,...
 8.4.28E: Integral Test Use the integral Test to determine the convergence or...
 8.4.52E: Find a series Find a series that…a. converges faster than but slowe...
 8.4.2E: Is it true that if the terms of a series of positive terms decrease...
 8.4.36E: Remainders and estimates Consider the following convergent scries.a...
 8.4.10E: Properties of series Use the properties of infinite series to evalu...
 8.4.21E: Divergence Test Use the Divergence Test to determine whether the fo...
 8.4.41E: Remainders and estimates Consider the following convergent scries.a...
 8.4.46E: Choose your test Determine whether the following series converge or...
 8.4.3E: Can the Integral Test be used to determine whether a series diverges?
 8.4.1E: Explain why computation alone may not determine whether a series co...
 8.4.50E: Log pseries Consider lhe series ,where p is a real number.a. Use t...
 8.4.29E: Integral Test Use the integral Test to determine the convergence or...
 8.4.5E: For what values of p does the series converge (initial index is 10)...
 8.4.34E: pseries Determine the convergence or divergence of the following s...
 8.4.35E: Remainders and estimates Consider the following convergent scries.a...
 8.4.42E: Remainders and estimates Consider the following convergent scries.a...
 8.4.7E: Define the remainder of an infinite series.
 8.4.51E: Loglog pseries Consider the series , where p is a real number.a. F...
 8.4.12E: Properties of series Use the properties of infinite series to evalu...
Solutions for Chapter 8.4: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 8.4
Get Full SolutionsCalculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since 63 problems in chapter 8.4 have been answered, more than 133754 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Chapter 8.4 includes 63 full stepbystep solutions.

Arc length formula
The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

Common ratio
See Geometric sequence.

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

Demand curve
p = g(x), where x represents demand and p represents price

DMS measure
The measure of an angle in degrees, minutes, and seconds

Graph of a relation
The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

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

Midpoint (in Cartesian space)
For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

Natural logarithm
A logarithm with base e.

Natural numbers
The numbers 1, 2, 3, . . . ,.

Negative angle
Angle generated by clockwise rotation.

Nonsingular matrix
A square matrix with nonzero determinant

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Pie chart
See Circle graph.

Positive angle
Angle generated by a counterclockwise rotation.

Positive linear correlation
See Linear correlation.

Resolving a vector
Finding the horizontal and vertical components of a vector.

Response variable
A variable that is affected by an explanatory variable.

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Wrapping function
The function that associates points on the unit circle with points on the real number line