 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 for all
 11.34: For what values of does the series
 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.
 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 at
 11.46: Find the Taylor series of a
 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 decimal places.
 11.57: Approximate by a Taylor polynomial with degree at the number . ; (b...
 11.58: Approximate by a Taylor polynomial with degree at the number . ; (b...
 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 tha
Solutions for Chapter 11: Single Variable Calculus 7th Edition
Full solutions for Single Variable Calculus  7th Edition
ISBN: 9780538497831
Solutions for Chapter 11
Get Full SolutionsSince 62 problems in chapter 11 have been answered, more than 6770 students have viewed full stepbystep solutions from this chapter. Single Variable Calculus was written by and is associated to the ISBN: 9780538497831. This textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7. Chapter 11 includes 62 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Equal matrices
Matrices that have the same order and equal corresponding elements.

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

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

Focal width of a parabola
The length of the chord through the focus and perpendicular to the axis.

Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.

Implicitly defined function
A function that is a subset of a relation defined by an equation in x and y.

Inverse tangent function
The function y = tan1 x

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Mean (of a set of data)
The sum of all the data divided by the total number of items

Midpoint (in a coordinate plane)
For the line segment with endpoints (a,b) and (c,d), (aa + c2 ,b + d2)

Multiplication principle of counting
A principle used to find the number of ways an event can occur.

Observational study
A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

Parametric curve
The graph of parametric equations.

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

Real number line
A horizontal line that represents the set of real numbers.

Riemann sum
A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

Union of two sets A and B
The set of all elements that belong to A or B or both.

Unit vector
Vector of length 1.

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.

Vertical line test
A test for determining whether a graph is a function.