 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 244617 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

Algebraic expression
A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

Bar chart
A rectangular graphical display of categorical data.

Conditional probability
The probability of an event A given that an event B has already occurred

Decreasing on an interval
A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

Equilibrium price
See Equilibrium point.

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

Infinite sequence
A function whose domain is the set of all natural numbers.

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

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

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

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

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Reduced row echelon form
A matrix in row echelon form with every column that has a leading 1 having 0’s in all other positions.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Symmetric about the origin
A graph in which (x, y) is on the the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Symmetric about the yaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Vertical line
x = a.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.