 9.4.1E: Explain the strategy presented in this section for evaluating a lim...
 9.4.2E: Explain the method presented in this section for evaluating , where...
 9.4.3E: How would you approximate e?0.6 using the Taylor series for ex?
 9.4.4E: Suggest a Taylor series and a method for approximating ?.
 9.4.5E: If and the series converges for x<b. what is the power series for...
 9.4.6E: What condition must be met by a function f for it to have a Taylor ...
 9.4.7E: Limits Evaluate the following limits using Taylor series.
 9.4.8E: Limits Evaluate the following limits using Taylor series.
 9.4.9E: Limits Evaluate the following limits using Taylor series.
 9.4.10E: Limits Evaluate the following limits using Taylor series. 1.png
 9.4.11E: Limits Evaluate the following limits using Taylor series.
 9.4.12E: Limits Evaluate the following limits using Taylor series.
 9.4.13E: Limits Evaluate the following limits using Taylor series.
 9.4.14E: Limits Evaluate the following limits using Taylor series.
 9.4.15E: Limits Evaluate the following limits using Taylor series.
 9.4.16E: Limits Evaluate the following limits using Taylor series.
 9.4.17E: Limits Evaluate the following limits using Taylor series.
 9.4.18E: Limits Evaluate the following limits using Taylor series.
 9.4.19E: Limits Evaluate the following limits using Taylor series.
 9.4.20E: Limits Evaluate the following limits using Taylor series.
 9.4.21E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.22E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.23E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.24E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.25E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.26E: Power series for derivativesa. Differentiate the Taylor series abou...
 9.4.27E: Differential equationsa. Find a power series for the solution of th...
 9.4.28E: Differential equationsa. Find a power series for the solution of th...
 9.4.29E: Differential equationsa. Find a power series for the solution of th...
 9.4.30E: Differential equationsa. Find a power series for the solution of th...
 9.4.31E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.32E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.33E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.34E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.35E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.36E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.37E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.38E: Approximating definite integrals Use a Taylor series to approximate...
 9.4.39E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.40E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.41E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.42E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.43E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.44E: Approximating real numbers Use an appropriate Taylor series to find...
 9.4.45E: Evaluating an infinite series Let . Use the Taylor series for f abo...
 9.4.46E: Evaluating an infinite series Let f(x)= (cx ? 1 )/x for x ? 0 and f...
 9.4.47E: Evaluating an infinite series Write the Taylor series for f(x) = 1n...
 9.4.48E: Evaluating an infinite series Write the Taylor series for f(a) = 1n...
 9.4.49E: Representing functions by power series Identify the functions repre...
 9.4.50E: Representing functions by power series Identify the functions repre...
 9.4.51E: Representing functions by power series Identify the functions repre...
 9.4.52E: Representing functions by power series Identify the functions repre...
 9.4.53E: Representing functions by power series Identify the functions repre...
 9.4.54E: Representing functions by power series Identify the functions repre...
 9.4.55E: Representing functions by power series Identify the functions repre...
 9.4.56E: Representing functions by power series Identify the functions repre...
 9.4.57E: Representing functions by power series Identify the functions repre...
 9.4.58E: Representing functions by power series Identify the functions repre...
 9.4.59E: Explain why or why not Determine whether the following statements a...
 9.4.60E: Limits with a parameter Use Taylor series to evaluate the following...
 9.4.61E: Limits with a parameter Use Taylor series to evaluate the following...
 9.4.62E: Limits with a parameter Use Taylor series to evaluate the following...
 9.4.63E: A limit by Taylor series Use Taylor series to evaluate .
 9.4.64E: Inverse hyperbolic sine A function known as the inverse of the hype...
 9.4.65E: Derivative trick Here is an alternative way to evaluate higher deri...
 9.4.66E: Derivative trick Here is an alternative way to evaluate higher deri...
 9.4.67E: Derivative trick Here is an alternative way to evaluate higher deri...
 9.4.68E: Derivative trick Here is an alternative way to evaluate higher deri...
 9.4.69E: Probability: tossing for a head The expected (average) number of to...
 9.4.70E: Probability: sudden death playoff Teams A and B go into sudden deat...
 9.4.71E: Elliptic integrals The period of a pendulum is given by where ? is ...
 9.4.72E: Sine integral function The function is called the sine integral fun...
 9.4.73E: Fresnel integrals The theory of optics gives rise to the two Fresne...
 9.4.74E: Error function An essential function in statistics and the study of...
 9.4.75E: Bessel functions Bessel functions arise in the study of wave propag...
 9.4.76AE: Power series for sec.v Use the identity sec and long cos xdivision ...
 9.4.77AE: Symmetrya. Use infinite series to show that cos x is an even functi...
 9.4.78AE: Behavior of csc.v We know that . Use long division to determine exa...
 9.4.79AE: L'Hôpital's Rule by Taylor series Suppose f and g have Taylor serie...
 9.4.80AE: Newton's derivation of the sine and an sine series Newton discovere...
Solutions for Chapter 9.4: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 9.4
Get Full SolutionsSince 80 problems in chapter 9.4 have been answered, more than 64494 students have viewed full stepbystep solutions from this chapter. Chapter 9.4 includes 80 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Arctangent function
See Inverse tangent function.

Common difference
See Arithmetic sequence.

Explanatory variable
A variable that affects a response variable.

Imaginary part of a complex number
See Complex number.

Inverse function
The inverse relation of a onetoone function.

Leastsquares line
See Linear regression line.

Logarithmic form
An equation written with logarithms instead of exponents

Modulus
See Absolute value of a complex number.

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

Sample survey
A process for gathering data from a subset of a population, usually through direct questioning.

Semimajor axis
The distance from the center to a vertex of an ellipse.

Speed
The magnitude of the velocity vector, given by distance/time.

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

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

Sum of an infinite series
See Convergence of a series

Unit ratio
See Conversion factor.

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

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.