- 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
29
1
Since 62 problems in chapter 11 have been answered, more than 6770 students have viewed full step-by-step 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 step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.
Key Calculus Terms and definitions covered in this textbook
-
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 = tan-1 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.