 4.5.1E: Sketch the graph of a smooth function ?j? and label a point ?P?(?a,...
 4.5.2E: Suppose you find the linear approximation to a differentiable funct...
 4.5.3E: How can linear approximation be used to approximate the value of a ...
 4.5.4E: How can linear approximation be used to approximate the chang ? e i...
 4.5.5E: Given a function ?f? differentiable on its domain, write and explai...
 4.5.6E: Does the differential d? y? represent the change in ? ? or the chan...
 4.5.7E: Linear approximation a. Write The equation of the line that represe...
 4.5.8E: Linear approximation a. Write The equation of the line that represe...
 4.5.9E: Linear approximation a. Write The equation of the line that represe...
 4.5.10E: Linear approximation a. Write The equation of the line that represe...
 4.5.11E: Linear approximation a. Write The equation of the line that represe...
 4.5.12E: Linear approximation a. Write The equation of the line that represe...
 4.5.13E: Estimations with linear approximation. ?Use linear approximations t...
 4.5.14E: Estimations with linear approximation ?Use linear approximations to...
 4.5.15E: Estimations with linear approximation ?Use linear approximations to...
 4.5.16E: Estimations with linear approximation ?Use linear approximations to...
 4.5.17E: Estimations with linear approximation ?Use linear approximations to...
 4.5.18E: Estimations with linear approximation ?Use linear approximations to...
 4.5.19E: Estimations with linear approximation ?Use linear approximations to...
 4.5.20E: Estimations with linear approximation ?Use linear approximations to...
 4.5.21E: Estimations with linear approximation ?Use linear approximations to...
 4.5.26E: Approximating changes Approximate the change in the volume of a rig...
 4.5.27E: Approximating changes Approximate the change in the lateral surface...
 4.5.28E: Approximating changes Approximate the change in the magnitude of th...
 4.5.29E: Differentials Consider the following functions and express the rela...
 4.5.30E: Differentials ?Consider the following functions and express the rel...
 4.5.31E:
 4.5.32E: Differentials ?Consider the following functions and express the rel...
 4.5.33E: Differentials ?Consider the following functions and express the rel...
 4.5.34E: ?Consider the following functions and express the relationship betw...
 4.5.35E: Differentials ?Consider the following functions and express the rel...
 4.5.36E: Differentials Consider the following functions and express the rela...
 4.5.37E: Differentials ?Consider the following functions and express the rel...
 4.5.38E: Differentials ?Consider the following functions and express the rel...
 4.5.39E: Explain why or why not Determine whether the following statements a...
 4.5.40E: Linear approximation ?Write an equation of the line that represents...
 4.5.41E: Linear approximation ?Write an equation of the line that represents...
 4.5.42E: Linear approximation ?Write an equation of the line that represents...
 4.5.44E: Ideal Gas Law The pr?essure P ? . tempe?rature T? , and v?olume V? ...
 4.5.45E: Errors in approximations Suppose is to be approximated near ? x = 8...
 4.5.43E: Linear approximation ?Write an equation of the line that represents...
 4.5.46E: Errors in approximations Suppose ?f?(?x?) = 1/(1 + ?x?) is to be ap...
 4.5.47E: Linear approximation and (the second derivative) Draw the graph of ...
Solutions for Chapter 4.5: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 4.5
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Chapter 4.5 includes 43 full stepbystep solutions. Since 43 problems in chapter 4.5 have been answered, more than 289295 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

Average velocity
The change in position divided by the change in time.

Axis of symmetry
See Line of symmetry.

Binomial coefficients
The numbers in Pascal’s triangle: nCr = anrb = n!r!1n  r2!

Derivative of ƒ at x a
ƒ'(a) = lim x:a ƒ(x)  ƒ(a) x  a provided the limit exists

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

Geometric series
A series whose terms form a geometric sequence.

Graphical model
A visible representation of a numerical or algebraic model.

Horizontal shrink or stretch
See Shrink, stretch.

Horizontal translation
A shift of a graph to the left or right.

Increasing on an interval
A function ƒ is increasing on an interval I if, for any two points in I, a positive change in x results in a positive change in.

Inverse variation
See Power function.

Leaf
The final digit of a number in a stemplot.

Matrix, m x n
A rectangular array of m rows and n columns of real numbers

Nappe
See Right circular cone.

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

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

Rational zeros
Zeros of a function that are rational numbers.

Scalar
A real number.

Sine
The function y = sin x.