 6.1.1: In 110 find the interval and radius of convergence for the given po...
 6.1.2: In 110 find the interval and radius of convergence for the given po...
 6.1.3: In 110 find the interval and radius of convergence for the given po...
 6.1.4: In 110 find the interval and radius of convergence for the given po...
 6.1.5: In 110 find the interval and radius of convergence for the given po...
 6.1.6: In 110 find the interval and radius of convergence for the given po...
 6.1.7: In 110 find the interval and radius of convergence for the given po...
 6.1.8: In 110 find the interval and radius of convergence for the given po...
 6.1.9: In 110 find the interval and radius of convergence for the given po...
 6.1.10: In 110 find the interval and radius of convergence for the given po...
 6.1.11: In 1116 use an appropriate series in (2) to find the Maclaurin seri...
 6.1.12: In 1116 use an appropriate series in (2) to find the Maclaurin seri...
 6.1.13: In 1116 use an appropriate series in (2) to find the Maclaurin seri...
 6.1.14: In 1116 use an appropriate series in (2) to find the Maclaurin seri...
 6.1.15: In 1116 use an appropriate series in (2) to find the Maclaurin seri...
 6.1.16: In 1116 use an appropriate series in (2) to find the Maclaurin seri...
 6.1.17: In 17 and 18 use an appropriate series in (2) to fin the Taylor ser...
 6.1.18: In 17 and 18 use an appropriate series in (2) to fin the Taylor ser...
 6.1.19: In 19 and 20 the given function is analytic at Use appropriate seri...
 6.1.20: In 19 and 20 the given function is analytic at Use appropriate seri...
 6.1.21: In Prosec blems 21 and 22 the given function is analytic at Use app...
 6.1.22: In 21 and 22 the given function is analytic at Use appropriate seri...
 6.1.23: In 23 and 24 use a substitution to shift the summation index so tha...
 6.1.24: In 23 and 24 use a substitution to shift the summation index so tha...
 6.1.25: In 2530 proceed as in Example 3 to rewrite the given expression usi...
 6.1.26: In 2530 proceed as in Example 3 to rewrite the given expression usi...
 6.1.27: In 2530 proceed as in Example 3 to rewrite the given expression usi...
 6.1.28: In 2530 proceed as in Example 3 to rewrite the given expression usi...
 6.1.29: In 2530 proceed as in Example 3 to rewrite the given expression usi...
 6.1.30: In 2530 proceed as in Example 3 to rewrite the given expression usi...
 6.1.31: In 3134 verify by direct substitution that the given power series i...
 6.1.32: In 3134 verify by direct substitution that the given power series i...
 6.1.33: In 3134 verify by direct substitution that the given power series i...
 6.1.34: In 3134 verify by direct substitution that the given power series i...
 6.1.35: In 3538 proceed as in Example 4 and find a power series solution of...
 6.1.36: In 3538 proceed as in Example 4 and find a power series solution of...
 6.1.37: In 3538 proceed as in Example 4 and find a power series solution of...
 6.1.38: In 3538 proceed as in Example 4 and find a power series solution of...
 6.1.39: In 19, find an easier way than multiplying two power series to obta...
 6.1.40: In 21, what do you think is the interval of convergence for the Mac...
Solutions for Chapter 6.1: REVIEW OF POWER SERIES
Full solutions for A First Course in Differential Equations with Modeling Applications  10th Edition
ISBN: 9781111827052
Solutions for Chapter 6.1: REVIEW OF POWER SERIES
Get Full SolutionsChapter 6.1: REVIEW OF POWER SERIES includes 40 full stepbystep solutions. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. Since 40 problems in chapter 6.1: REVIEW OF POWER SERIES have been answered, more than 46790 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Boundary
The set of points on the “edge” of a region

Circular functions
Trigonometric functions when applied to real numbers are circular functions

Constraints
See Linear programming problem.

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Cosine
The function y = cos x

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

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>

Horizontal translation
A shift of a graph to the left or right.

Implied domain
The domain of a function’s algebraic expression.

Inferential statistics
Using the science of statistics to make inferences about the parameters in a population from a sample.

Infinite limit
A special case of a limit that does not exist.

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

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

Leibniz notation
The notation dy/dx for the derivative of ƒ.

Linear equation in x
An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

Logarithmic regression
See Natural logarithmic regression

Polar form of a complex number
See Trigonometric form of a complex number.

Sample standard deviation
The standard deviation computed using only a sample of the entire population.

Solve a triangle
To find one or more unknown sides or angles of a triangle