 11.9.1: If the radius of convergence of the power series is 10, what is the...
 11.9.2: Suppose you know that the series converges for . What can you say a...
 11.9.3: Find a power series representation for the function and determine t...
 11.9.4: Find a power series representation for the function and determine t...
 11.9.5: Find a power series representation for the function and determine t...
 11.9.6: Find a power series representation for the function and determine t...
 11.9.7: Find a power series representation for the function and determine t...
 11.9.8: Find a power series representation for the function and determine t...
 11.9.9: Find a power series representation for the function and determine t...
 11.9.10: Find a power series representation for the function and determine t...
 11.9.11: Express the function as the sum of a power series by first using pa...
 11.9.12: Express the function as the sum of a power series by first using pa...
 11.9.13: (a) Use differentiation to find a power series representation for W...
 11.9.14: (a) Use Equation 1 to find a power series representation for . What...
 11.9.15: Find a power series representation for the function and determine t...
 11.9.16: Find a power series representation for the function and determine t...
 11.9.17: Find a power series representation for the function and determine t...
 11.9.18: Find a power series representation for the function and determine t...
 11.9.19: Find a power series representation for the function and determine t...
 11.9.20: Find a power series representation for the function and determine t...
 11.9.21: Find a power series representation for , and graph and several part...
 11.9.22: Find a power series representation for , and graph and several part...
 11.9.23: Find a power series representation for , and graph and several part...
 11.9.24: Find a power series representation for , and graph and several part...
 11.9.25: Evaluate the indefinite integral as a power series. What is the rad...
 11.9.26: Evaluate the indefinite integral as a power series. What is the rad...
 11.9.27: Evaluate the indefinite integral as a power series. What is the rad...
 11.9.28: Evaluate the indefinite integral as a power series. What is the rad...
 11.9.29: Use a power series to approximate the definite integral to six deci...
 11.9.30: Use a power series to approximate the definite integral to six deci...
 11.9.31: Use a power series to approximate the definite integral to six deci...
 11.9.32: Use a power series to approximate the definite integral to six deci...
 11.9.33: Use the result of Example 7 to compute correct to five decimal places.
 11.9.34: Show that the function is a solution of the differential equation
 11.9.35: (a) Show that (the Bessel function of order 0 given in Example 4) s...
 11.9.36: The Bessel function of order 1 is defined by (a) Show that satisfie...
 11.9.37: (a) Show that the function is a solution of the differential equati...
 11.9.38: Let . Show that the series converges for all values of but the seri...
 11.9.39: Let Find the intervals of convergence for , , and .
 11.9.40: (a) Starting with the geometric series , find the sum of the series...
 11.9.41: Use the power series for to prove the following expression for as t...
 11.9.42: (a) By completing the square, show that (b) By factoring as a sum o...
Solutions for Chapter 11.9: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES
Full solutions for Multivariable Calculus,  7th Edition
ISBN: 9780538497879
Solutions for Chapter 11.9: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. Since 42 problems in chapter 11.9: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES have been answered, more than 22627 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Chapter 11.9: REPRESENTATIONS OF FUNCTIONS AS POWER SERIES includes 42 full stepbystep solutions.

Arccotangent function
See Inverse cotangent function.

Circle graph
A circular graphical display of categorical data

Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data

Compound fraction
A fractional expression in which the numerator or denominator may contain fractions

Compounded continuously
Interest compounded using the formula A = Pert

Constant term
See Polynomial function

Ellipse
The set of all points in the plane such that the sum of the distances from a pair of fixed points (the foci) is a constant

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Head minus tail (HMT) rule
An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2  x 1, y2  y19>

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

Inverse cosine function
The function y = cos1 x

Inverse sine function
The function y = sin1 x

Irrational numbers
Real numbers that are not rational, p. 2.

Piecewisedefined function
A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

Present value of an annuity T
he net amount of your money put into an annuity.

Solve algebraically
Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

Square matrix
A matrix whose number of rows equals the number of columns.

Standard position (angle)
An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive xaxis

Sum of a finite geometric series
Sn = a111  r n 2 1  r

Transitive property
If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.