 7.4.1E: Comparisons with the Exponential e xWhich of the following function...
 7.4.2E: Comparisons with the Exponential e xWhich of the following function...
 7.4.3E: Comparisons with the Power x 2Which of the following functions grow...
 7.4.4E: Comparisons with the Power x 2Which of the following functions grow...
 7.4.5E: Comparisons with the Logarithm ln xWhich of the following functions...
 7.4.6E: Comparisons with the Logarithm ln xWhich of the following functions...
 7.4.7E: Ordering Functions by Growth RatesOrder the following functions fro...
 7.4.8E: Ordering Functions by Growth RatesOrder the following functions fro...
 7.4.9E: Bigoh and Littleoh; OrderTrue, or false? Asx ?? ?1. = o () 1. = o...
 7.4.10E: Bigoh and Littleoh; OrderTrue, or false? Asx ?? ?
 7.4.11E: Bigoh and Littleoh; OrderShow that if positive functions ƒ(x) and...
 7.4.12E: Bigoh and Littleoh; OrderWhen is a polynomial ƒ(x) of smaller ord...
 7.4.13E: Bigoh and Littleoh; OrderWhen is a polynomial ƒ(x) of at most the...
 7.4.14E: Bigoh and Littleoh; OrderWhat do the conclusions we drew in Secti...
 7.4.15E: Other ComparisonsInvestigateand .Then use l’Hôpital’s Rule to expla...
 7.4.16E: Other Comparisons(Continuation of Exercise 15.) Show that the value...
 7.4.17E: Other ComparisonsShow thatand grow at the same rate as x?? by showi...
 7.4.18E: Other ComparisonsShow that grow at the same rate as x?? by showing ...
 7.4.19E: Other ComparisonsShow that ex grows faster as x?? than xn for any p...
 7.4.20E: Other ComparisonsThe function e x outgrows any polynomial Show that...
 7.4.21E: Other ComparisonsThe function e x outgrows any polynomial Show that...
 7.4.22E: Other ComparisonsThe function ln x grows slower than any polynomial...
 7.4.23E: Algorithms and Searchesa. Suppose you have three different algorith...
 7.4.24E: Algorithms and SearchesRepeat Exercise 23 for the functionslog2 (lo...
 7.4.25E: Algorithms and SearchesSuppose you are looking for an item in an or...
 7.4.26E: Algorithms and SearchesYou are looking for an item in an ordered li...
Solutions for Chapter 7.4: Thomas' Calculus: Early Transcendentals 13th Edition
Full solutions for Thomas' Calculus: Early Transcendentals  13th Edition
ISBN: 9780321884077
Solutions for Chapter 7.4
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 26 problems in chapter 7.4 have been answered, more than 156984 students have viewed full stepbystep solutions from this chapter. Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. Chapter 7.4 includes 26 full stepbystep solutions.

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

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Division algorithm for polynomials
Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

First quartile
See Quartile.

Geometric series
A series whose terms form a geometric sequence.

Independent events
Events A and B such that P(A and B) = P(A)P(B)

Inverse cosine function
The function y = cos1 x

Inverse function
The inverse relation of a onetoone function.

Logistic growth function
A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + aekx, where a, b, c, and k are positive with b < 1. c is the limit to growth

Mathematical induction
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

Pie chart
See Circle graph.

Polar axis
See Polar coordinate system.

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

Reciprocal of a real number
See Multiplicative inverse of a real number.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

Square matrix
A matrix whose number of rows equals the number of columns.

Window dimensions
The restrictions on x and y that specify a viewing window. See Viewing window.

xzplane
The points x, 0, z in Cartesian space.

Zero matrix
A matrix consisting entirely of zeros.