 11.1: Determine whether the sequence is convergent or divergent. If it is...
 11.2: Determine whether the sequence is convergent or divergent. If it is...
 11.3: Determine whether the sequence is convergent or divergent. If it is...
 11.4: Determine whether the sequence is convergent or divergent. If it is...
 11.5: Determine whether the sequence is convergent or divergent. If it is...
 11.6: Determine whether the sequence is convergent or divergent. If it is...
 11.7: Determine whether the sequence is convergent or divergent. If it is...
 11.8: Determine whether the sequence is convergent or divergent. If it is...
 11.9: A sequence is defined recursively by the equations , . Show that is...
 11.10: Show that and use a graph to find the smallest value of that corres...
 11.11: Determine whether the series is convergent or divergent.
 11.12: Determine whether the series is convergent or divergent.
 11.13: Determine whether the series is convergent or divergent.
 11.14: Determine whether the series is convergent or divergent.
 11.15: Determine whether the series is convergent or divergent.
 11.16: Determine whether the series is convergent or divergent.
 11.17: Determine whether the series is convergent or divergent.
 11.18: Determine whether the series is convergent or divergent.
 11.19: Determine whether the series is convergent or divergent.
 11.20: Determine whether the series is convergent or divergent.
 11.21: Determine whether the series is convergent or divergent.
 11.22: Determine whether the series is convergent or divergent.
 11.23: Determine whether the series is conditionally convergent, absolutel...
 11.24: Determine whether the series is conditionally convergent, absolutel...
 11.25: Determine whether the series is conditionally convergent, absolutel...
 11.26: Determine whether the series is conditionally convergent, absolutel...
 11.27: Find the sum of the series.
 11.28: Find the sum of the series.
 11.29: Find the sum of the series.
 11.30: Find the sum of the series.
 11.31: Find the sum of the series.
 11.32: Express the repeating decimal as a fraction.
 11.33: Show that or all .
 11.34: For what values of does the series converge?
 11.35: Find the sum of the series correct to four decimal places
 11.36: (a) Find the partial sum of the series and estimate the error in us...
 11.37: Use the sum of the first eight terms to approximate the sum of the ...
 11.38: (a) Show that the series is convergent. (b) Deduce that
 11.39: Prove that if the series is absolutely convergent, then the series ...
 11.40: Find the radius of convergence and interval of convergence of the s...
 11.41: Find the radius of convergence and interval of convergence of the s...
 11.42: Find the radius of convergence and interval of convergence of the s...
 11.43: Find the radius of convergence and interval of convergence of the s...
 11.44: Find the radius of convergence of the series
 11.45: Find the Taylor series of
 11.46: Find the Taylor series of
 11.47: Find the Maclaurin series for and its radius of convergence. You ma...
 11.48: Find the Maclaurin series for and its radius of convergence. You ma...
 11.49: Find the Maclaurin series for and its radius of convergence. You ma...
 11.50: Find the Maclaurin series for and its radius of convergence. You ma...
 11.51: Find the Maclaurin series for and its radius of convergence. You ma...
 11.52: Find the Maclaurin series for and its radius of convergence. You ma...
 11.53: Find the Maclaurin series for and its radius of convergence. You ma...
 11.54: Find the Maclaurin series for and its radius of convergence. You ma...
 11.55: Evaluate as an infinite series
 11.56: Use series to approximate correct to two decimalplaces.
 11.57: (a) Approximate by a Taylor polynomial with degree at the number . ...
 11.58: (a) Approximate by a Taylor polynomial with degree at the number . ...
 11.59: Use series to evaluate the following limit.
 11.60: The force due to gravity on an object with mass at a height above t...
 11.61: Suppose that for all . (a) If is an odd function, show that (b) If ...
 11.62: If , show that .
Solutions for Chapter 11: Calculus, 7th Edition
Full solutions for Calculus,  7th Edition
ISBN: 9780538497817
Solutions for Chapter 11
Get Full SolutionsCalculus, was written by and is associated to the ISBN: 9780538497817. Chapter 11 includes 62 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 7. Since 62 problems in chapter 11 have been answered, more than 6577 students have viewed full stepbystep solutions from this chapter.

Backtoback stemplot
A stemplot with leaves on either side used to compare two distributions.

Census
An observational study that gathers data from an entire population

Composition of functions
(f ? g) (x) = f (g(x))

Damping factor
The factor Aea in an equation such as y = Aeat cos bt

Directed angle
See Polar coordinates.

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Histogram
A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

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

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Periodic function
A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

Positive linear correlation
See Linear correlation.

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Real number
Any number that can be written as a decimal.

Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.

Symmetric property of equality
If a = b, then b = a

Time plot
A line graph in which time is measured on the horizontal axis.

Ymin
The yvalue of the bottom of the viewing window.

Zero factor property
If ab = 0 , then either a = 0 or b = 0.