 9.PE.9PE: ?
 9.PE.10PE: ?
 9.PE.45PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.1PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.2PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.3PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.4PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.5PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.6PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.7PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.8PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.11PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.12PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.13PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.14PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.15PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.16PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.17PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.18PE: Which of the sequences whose nth terms appear in Exercises 1–18 con...
 9.PE.19PE: Find the sums of the series in Exercises 19–24.
 9.PE.20PE: Find the sums of the series in Exercises 19–24.
 9.PE.21PE: Find the sums of the series in Exercises 19–24.
 9.PE.22PE: Find the sums of the series in Exercises 19–24.
 9.PE.23PE: Find the sums of the series in Exercises 19–24.
 9.PE.24PE: Find the sums of the series in Exercises 19–24.
 9.PE.25PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.26PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.27PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.28PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.29PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.30PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.31PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.32PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.33PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.34PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.35PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.36PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.37PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.38PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.39PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.40PE: Which of the series in Exercises 25–40 converge absolutely, which c...
 9.PE.41PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.42PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.43PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.44PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.46PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.47PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.48PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.49PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.50PE: In Exercises 41–50, (a) find the series’ radius and interval of con...
 9.PE.51PE: Each of the series in Exercises 51–56 is the value of the Taylor se...
 9.PE.52PE: Each of the series in Exercises 51–56 is the value of the Taylor se...
 9.PE.53PE: Each of the series in Exercises 51–56 is the value of the Taylor se...
 9.PE.54PE: Each of the series in Exercises 51–56 is the value of the Taylor se...
 9.PE.55PE: Each of the series in Exercises 51–56 is the value of the Taylor se...
 9.PE.56PE: Each of the series in Exercises 51–56 is the value of the Taylor se...
 9.PE.57PE: Find Taylor series at x=0 for the functions in Exercises 57–64.
 9.PE.58PE: Find Taylor series at x=0 for the functions in Exercises 57–64.
 9.PE.59PE: Find Taylor series at x=0 for the functions in Exercises 57–64.
 9.PE.60PE: Find Taylor series at x=0 for the functions in Exercises 57–64.
 9.PE.61PE: Find Taylor series at x=0 for the functions in Exercises 57–64.
 9.PE.62PE: Find Taylor series at x=0 for the functions in Exercises 57–64.
 9.PE.63PE: Find Taylor series at x=0 for the functions in Exercises 57–64.
 9.PE.64PE: Find Taylor series at x=0 for the functions in Exercises 57–64.
 9.PE.65PE: In Exercises 65–68, find the first four nonzero terms of the Taylor...
 9.PE.66PE: In Exercises 65–68, find the first four nonzero terms of the Taylor...
 9.PE.67PE: In Exercises 65–68, find the first four nonzero terms of the Taylor...
 9.PE.68PE: In Exercises 65–68, find the first four nonzero terms of the Taylor...
 9.PE.69PE: Use series to approximate the values of the integrals in Exercises ...
 9.PE.70PE: Use series to approximate the values of the integrals in Exercises ...
 9.PE.71PE: Use series to approximate the values of the integrals in Exercises ...
 9.PE.72PE: Use series to approximate the values of the integrals in Exercises ...
 9.PE.73PE: In Exercises 73–78:a. Use power series to evaluate the limit.b. The...
 9.PE.74PE: In Exercises 73–78:a. Use power series to evaluate the limit.b. The...
 9.PE.75PE: In Exercises 73–78:a. Use power series to evaluate the limit.b. The...
 9.PE.76PE: In Exercises 73–78:a. Use power series to evaluate the limit.b. The...
 9.PE.77PE: In Exercises 73–78:a. Use power series to evaluate the limit.b. The...
 9.PE.78PE: In Exercises 73–78:a. Use power series to evaluate the limit.b. The...
 9.PE.79PE: Use a series representation of sin 3x to find values of r and s for...
 9.PE.80PE: Compare the accuracies of the approximations and by comparing the g...
 9.PE.81PE: Find the radius of convergence of the series
 9.PE.82PE: Find the radius of convergence of the series
 9.PE.83PE: Find a closedform formula for the nth partial sum of the series an...
 9.PE.84PE: Evaluate of the series’ nth partial sum
 9.PE.85PE: a. Find the interval of convergence of the series
 9.PE.86PE: a. Find the Maclaurin series for the function x2/(1+x)b. Does the s...
 9.PE.87PE: If are convergent series of nonnegative numbers, can anything be sa...
 9.PE.88PE: If are divergent series of nonnegative numbers, can anything be sai...
 9.PE.89PE: Prove that the sequence {xn} and the series both converge or both d...
 9.PE.90PE: Prove that converges if an > 0 for all n and converges.
 9.PE.91PE: Suppose that are positive numbers satisfying thefollowing condition...
 9.PE.92PE: Use the result in Exercise 91 to show that diverges.Suppose that ar...
Solutions for Chapter 9.PE: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 9.PE
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 92 problems in chapter 9.PE have been answered, more than 101274 students have viewed full stepbystep solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Chapter 9.PE includes 92 full stepbystep solutions.

Arctangent function
See Inverse tangent function.

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

Convergence of a series
A series aqk=1 ak converges to a sum S if imn: q ank=1ak = S

Dependent event
An event whose probability depends on another event already occurring

Direction vector for a line
A vector in the direction of a line in threedimensional space

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Equilibrium price
See Equilibrium point.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Inverse properties
a + 1a2 = 0, a # 1a

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

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Mapping
A function viewed as a mapping of the elements of the domain onto the elements of the range

Onetoone function
A function in which each element of the range corresponds to exactly one element in the domain

Orthogonal vectors
Two vectors u and v with u x v = 0.

Parameter interval
See Parametric equations.

Polynomial in x
An expression that can be written in the form an x n + an1x n1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

Positive numbers
Real numbers shown to the right of the origin on a number line.

Reexpression of data
A transformation of a data set.

ycoordinate
The directed distance from the xaxis xzplane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.