 4.7RE: Critical points ?Find the critical points of the following function...
 4.8RE: Critical points Find the critical points of the following functions...
 4.10RE: Critical points? Find the critical points of the following function...
 4.9RE: Critical points Find the critical points of the following functions...
 4.11RE: Absolute values? Consider the function f(x) = x?2+x?3 on [?4, 4...
 4.12RE: Inflection points? Does f(x) = 2x ?10x +20x +x+1 have any inflectio...
 4.13RE: Curve sketching? Use the guidelines of this chapter to make a compl...
 4.14RE: Curve sketching? Use the guidelines of this chapter to make a compl...
 4.15RE: Curve sketching? Use the guidelines of this chapter to make a compl...
 4.16RE: Curve sketching? Use the guidelines of this chapter to make a compl...
 4.17RE: Curve sketching? Use the guidelines of this chapter to make a compl...
 4.18RE: Curve sketching? Use the guidelines of this chapter to make a compl...
 4.19RE: Curve sketching? Use the guidelines of this chapter to make a compl...
 4.20RE: Curve sketching? Use the guidelines of this chapter to make a compl...
 4.21RE: Optimization? A right triangle has legs of len ? gth ?h? a? and a h...
 4.22RE: Rectangles beneath a curve? A rectangle is constructed with one sid...
 4.23RE: Maximum length? What two nonnegative real numbers ?a? and ?b? whose...
 4.24RE: 5 2 Nearest point? What point of the graph of f(x) = 2 ? x is close...
 4.25RE: Menu Value Theorem The population of a culture of cells grows accor...
 4.26RE: 3 2 Limits? Evaluate the following limits. Use l'Hôpital's Rule whe...
 4.27RE: 1?cos 6t Limits? Evaluate the following limits. Use l'Hôpital's Rul...
 4.28RE: 5x +2x?5 Limits? Evaluate the following limits. Use l'Hôpital's Rul...
 4.29RE: 3sin 2? Limits? Evaluate the following limits. Use l'Hôpital's Rule...
 4.30RE: Limits? Evaluate the following limits. Use l'Hôpital's Rule when ne...
 4.31RE: Limits? Evaluate the following limits. Use l'Hôpital's Rule when ne...
 4.32RE: e?2?1+2x Limits? Evaluate the following limits. Use l'Hôpital's Rul...
 4.33RE: 10 ln y Limits? Evaluate the following limits. Use l'Hôpital's Rule...
 4.34RE: Limits? Evaluate the following limits. Use l'Hôpital's Rule when ne...
 4.35RE: x ?x ?3x +5x?2 Limits? Evaluate the following limits. Use l'Hôpital...
 4.36RE: 100 Evaluate the following limits. Check your results by graphing. ...
 4.38RE: 1 ,0 ,? forms? Evaluate the following limits. Check your results by...
 4.39RE: RE ? 0 0 1 ,0 ,? forms ?Evaluate the following limits. Check your r...
 4.40RE: ? 0 1 ,0 ,? forms ?Evaluate the following limits. Check your result...
 4.41RE: ? 0 0 1 ,0 ,? forms ?Evaluate the following limits. Check your resu...
 4.42RE: Comparing growth rates? Determine which of the two functions grows ...
 4.43RE: Comparing growth rates? Determine which of the two functions grows ...
 4.44RE: Comparing growth rates? Determine which of the two functions grows ...
 4.45RE: Comparing growth rates? Determine which of the two functions grows ...
 4.46RE: Comparing growth rates? Determine which of the two functions grows ...
 4.47RE: Comparing growth rates? Determine which of the two functions grows ...
 4.48RE: Comparing growth rates? Determine which of the two functions grows ...
 4.49RE: Comparing growth rates? Determine which of the two functions grows ...
 4.50RE: Indefinite integrals? Determine the following indefinite integrals....
 4.51RE: RE Indefinite integrals? Determine the following indefinite integra...
 4.52RE: Indefinite integrals? Determine the following indefinite integrals....
 4.53RE: Indefinite integrals? Determine the following indefinite integrals?...
 4.54RE: Indefinite integrals? Determine the following indefinite integrals....
 4.55RE: Indefinite integrals? Determine the following indefinite integrals....
 4.56RE: Indefinite integrals? Determine the following indefinite integrals....
 4.57RE: Indefinite integrals? Determine the following indefinite integrals....
 4.58RE: Indefinite integrals? Determine the following indefinite integrals....
 4.59RE: State the meaning of {x : ?4 < x ? 10}in words. Express the set {x ...
 4.60RE: Indefinite integrals? Determine the following indefinite integrals....
 4.61RE: 4 Indefinite integrals? Determine the following indefinite integral...
 4.62RE: 2 Functions from derivatives? Find the function with following prop...
 4.63RE: Functions from derivatives? Find the function with following proper...
 4.64RE: Functions from derivatives? Find the function with following proper...
 4.65RE: Functions from derivatives? Find the function with following proper...
 4.66RE: Motion along a line? Two objects move along? the x ? axis with pos...
 4.67RE: Vertical motion with gravity? A rocket is launched vertically upwar...
 4.68RE: Logs? ?of logs? Compare the growth rates of ln x, ln (ln x)and ln (...
 4.70RE: a +b +c 1/r ? Geometric mean? Prove that lim r?0 ( 3 ) = ? abc ?, w...
 4.71RE: Two methods? Evaluate the following limits in two different ways: U...
 4.72RE: Two methods? Evaluate the following limits in two different ways: U...
 4.73RE: x x (x ) Towers of exponents? The functions f(x) = (x ) and g(x) = ...
 4.74RE: Cosine limits? Let n be a positive integer. Use graphical and/or an...
 4.75RE: 1 (x+a) 1 Limits for ?e? Consider the function g(x) = (1 + ) x . Sh...
 4.76RE: x A family of superexponential functions? Let f(x) = (a? +x) ?, wh...
 4.68GP: GP A beach ball is thrown straight up, and some time later it lands...
 4.69PP: PP A Simple Solution for a Stuck Car If your car is stuck in the mu...
 4.70PP: A Simple Solution for a Stuck Car If your car is stuck in the mud a...
 4.71PP: A Simple Solution for a Stuck Car If your car is stuck in the mud a...
Solutions for Chapter 4: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 4
Get Full SolutionsChapter 4 includes 72 full stepbystep solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This expansive textbook survival guide covers the following chapters and their solutions. Since 72 problems in chapter 4 have been answered, more than 91698 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

Binomial
A polynomial with exactly two terms

Complex number
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

Damping factor
The factor Aea in an equation such as y = Aeat cos bt

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

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

Division
a b = aa 1 b b, b Z 0

Elementary row operations
The following three row operations: Multiply all elements of a row by a nonzero constant; interchange two rows; and add a multiple of one row to another row

Empty set
A set with no elements

Equal complex numbers
Complex numbers whose real parts are equal and whose imaginary parts are equal.

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Interval
Connected subset of the real number line with at least two points, p. 4.

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

kth term of a sequence
The kth expression in the sequence

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

Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

Reciprocal function
The function ƒ(x) = 1x

Singular matrix
A square matrix with zero determinant

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.