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# Solutions for Chapter 5.4: THE FUNDAMENTAL THEOREM OF CALCULUS

## Full solutions for Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) | 4th Edition

ISBN: 9780495559726

Solutions for Chapter 5.4: THE FUNDAMENTAL THEOREM OF CALCULUS

Solutions for Chapter 5.4
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##### ISBN: 9780495559726

Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series) was written by and is associated to the ISBN: 9780495559726. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.4: THE FUNDAMENTAL THEOREM OF CALCULUS includes 33 full step-by-step solutions. Since 33 problems in chapter 5.4: THE FUNDAMENTAL THEOREM OF CALCULUS have been answered, more than 22712 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus: Concepts and Contexts (Stewart's Calculus Series), edition: 4.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Arccosine function

See Inverse cosine function.

• Closed interval

An interval that includes its endpoints

• Damping factor

The factor Ae-a in an equation such as y = Ae-at cos bt

• Differentiable at x = a

ƒ'(a) exists

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• 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 properties

a + 1-a2 = 0, a # 1a

• Logistic growth function

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

• Phase shift

See Sinusoid.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Reciprocal function

The function ƒ(x) = 1x

• Replication

The principle of experimental design that minimizes the effects of chance variation by repeating the experiment multiple times.

• Right triangle

A triangle with a 90° angle.

• Sample survey

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

• Semiminor axis

The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

• Statute mile

5280 feet.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

• x-intercept

A point that lies on both the graph and the x-axis,.

• Zero factorial

See n factorial.