 11.5.1: (a) What is an alternating series? (b) Under what conditions does a...
 11.5.2: Test the series for convergence or divergence.
 11.5.3: Test the series for convergence or divergence.
 11.5.4: Test the series for convergence or divergence.
 11.5.5: Test the series for convergence or divergence.
 11.5.6: Test the series for convergence or divergence.
 11.5.7: Test the series for convergence or divergence.
 11.5.8: Test the series for convergence or divergence.
 11.5.9: Test the series for convergence or divergence.
 11.5.10: Test the series for convergence or divergence.
 11.5.11: Test the series for convergence or divergence.
 11.5.12: Test the series for convergence or divergence.
 11.5.13: Test the series for convergence or divergence.
 11.5.14: Test the series for convergence or divergence.
 11.5.15: Test the series for convergence or divergence.
 11.5.16: Test the series for convergence or divergence.
 11.5.17: Test the series for convergence or divergence.
 11.5.18: Test the series for convergence or divergence.
 11.5.19: Test the series for convergence or divergence.
 11.5.20: Test the series for convergence or divergence.
 11.5.21: Calculate the first 10 partial sums of the series and graph both th...
 11.5.22: Calculate the first 10 partial sums of the series and graph both th...
 11.5.23: How many terms of the series do we need to add in order to find the...
 11.5.24: How many terms of the series do we need to add in order to find the...
 11.5.25: How many terms of the series do we need to add in order to find the...
 11.5.26: How many terms of the series do we need to add in order to find the...
 11.5.27: Approximate the sum of the series correct to four decimal places.
 11.5.28: Approximate the sum of the series correct to four decimal places.
 11.5.29: Approximate the sum of the series correct to four decimal places.
 11.5.30: Approximate the sum of the series correct to four decimal places.
 11.5.31: Is the 50th partial sum of the alternating series an overestimate o...
 11.5.32: For what values of is each series convergent?
 11.5.33: For what values of is each series convergent?
 11.5.34: For what values of is each series convergent?
 11.5.35: Show that the series , where if is odd and if is even, is divergent...
 11.5.36: Use the following steps to show that Let and be the partial sums of...
Solutions for Chapter 11.5: Alternating Series
Full solutions for Calculus,  5th Edition
ISBN: 9780534393397
Solutions for Chapter 11.5: Alternating Series
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus, was written by and is associated to the ISBN: 9780534393397. Chapter 11.5: Alternating Series includes 36 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 36 problems in chapter 11.5: Alternating Series have been answered, more than 43420 students have viewed full stepbystep solutions from this chapter.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Binomial theorem
A theorem that gives an expansion formula for (a + b)n

Completing the square
A method of adding a constant to an expression in order to form a perfect square

Correlation coefficient
A measure of the strength of the linear relationship between two variables, pp. 146, 162.

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.

Length of a vector
See Magnitude of a vector.

Linear regression
A procedure for finding the straight line that is the best fit for the data

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

Pie chart
See Circle graph.

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

Pole
See Polar coordinate system.

Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Real part of a complex number
See Complex number.

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

xintercept
A point that lies on both the graph and the xaxis,.

Zoom out
A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).