 5.4.1: Explain exactly what is meant by the statement that differentiation...
 5.4.2: Let , where is the function whose graph is shown. (a) Evaluate for ...
 5.4.3: Let , where is the function whose graph is shown. (a) Evaluate , , ...
 5.4.4: Let , where is the function whose graph is shown. (a) Evaluate and ...
 5.4.5: Sketch the area represented by . Then nd in two ways: (a) by using ...
 5.4.6: Sketch the area represented by . Then nd in two ways: (a) by using ...
 5.4.7: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.8: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.9: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.10: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.11: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.12: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.13: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.14: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.15: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.16: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.17: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.18: Use Part 1 of the Fundamental Theorem of Calculus to nd the derivat...
 5.4.19: Let , where is the function whose graph is shown. (a) At what value...
 5.4.20: Let , where is the function whose graph is shown. (a) At what value...
 5.4.21: If , on what interval is increasing?
 5.4.22: If and , nd .
 5.4.23: On what interval is the curve y yx 0 t2 t2 t 2 dtconcave downward?
 5.4.24: Find the slope of the tangent line to the curve with parametric equ...
 5.4.25: If , is continuous, and , what is the value of ?
 5.4.26: The error functionerfx 2 s yx 0 et2 dtis used in probability, stati...
 5.4.27: The Fresnel function was dened in Example 4 and graphed in Figures ...
 5.4.28: The sine integral functionSix yx 0 sin t t dtis important in electr...
 5.4.29: Find a function such that and .
 5.4.30: Letif x 0 if 0 x 1 if 1 x 2 if x 2andtx yx 0 ftdt(a) Find an expres...
 5.4.31: Find a function and a number such thatfor all
 5.4.32: A hightech company purchases a new computing system whose initial ...
 5.4.33: A manufacturing company owns a major piece of equipment that deprec...
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
Get Full SolutionsSingle 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 stepbystep solutions. Since 33 problems in chapter 5.4: THE FUNDAMENTAL THEOREM OF CALCULUS have been answered, more than 22712 students have viewed full stepbystep 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.

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 Aea in an equation such as y = Aeat 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 + 1a2 = 0, a # 1a

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

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.

xintercept
A point that lies on both the graph and the xaxis,.

Zero factorial
See n factorial.