 9.1: Cantor Set The Cantor set (Georg Cantor, 18451918) is a subset of t...
 9.2: Using Sequences (a) Given that and show that is convergent and (b) ...
 9.3: Using a Series It can be shown that n11n2 262 [see Section 9.3, pag...
 9.4: Finding a Limit Let be an equilateral triangle with sides of length...
 9.5: Using Center of Gravity Identical blocks of unit length are stacked...
 9.6: Using Power Series (a) Consider the power series in which the coeff...
 9.7: Finding Sums of Series (a) Find a power series for the function cen...
 9.8: Using the Alternating Series Test The graph of the function is show...
 9.9: Conditional and Absolute Convergence For what values of the positiv...
 9.10: Proof (a) Consider the following sequence of numbers defined recurs...
 9.11: Proof Let be a sequence of positive numbers satisfying Prove that t...
 9.12: . Using a Series Consider the infinite series (a) Find the first fi...
 9.13: Deriving Identities Derive each identity using the appropriate geom...
 9.14: Population Consider an idealized population with the characteristic...
 9.15: Spheres Imagine you are stacking an infinite number of spheres of d...
 9.16: Determining Convergence or Divergence (a) Determine the convergence...
Solutions for Chapter 9: Calculus 10th Edition
Full solutions for Calculus  10th Edition
ISBN: 9781285057095
Solutions for Chapter 9
Get Full SolutionsChapter 9 includes 16 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus, edition: 10. This expansive textbook survival guide covers the following chapters and their solutions. Since 16 problems in chapter 9 have been answered, more than 2689 students have viewed full stepbystep solutions from this chapter. Calculus was written by and is associated to the ISBN: 9781285057095.

Acute angle
An angle whose measure is between 0° and 90°

DMS measure
The measure of an angle in degrees, minutes, and seconds

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

Inverse reflection principle
If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

Limaçon
A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

Linear regression equation
Equation of a linear regression line

Magnitude of a vector
The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

Modulus
See Absolute value of a complex number.

Obtuse triangle
A triangle in which one angle is greater than 90°.

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Product of complex numbers
(a + bi)(c + di) = (ac  bd) + (ad + bc)i

Pseudorandom numbers
Computergenerated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

Rational function
Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

Real part of a complex number
See Complex number.

Relation
A set of ordered pairs of real numbers.

Solve by substitution
Method for solving systems of linear equations.

System
A set of equations or inequalities.

Third quartile
See Quartile.

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

Unit ratio
See Conversion factor.