 5.4.1: Graphical Reasoning In Exercises 14, use a graphing utility to grap...
 5.4.2: Graphical Reasoning In Exercises 14, use a graphing utility to grap...
 5.4.3: Graphical Reasoning In Exercises 14, use a graphing utility to grap...
 5.4.4: Graphical Reasoning In Exercises 14, use a graphing utility to grap...
 5.4.5: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
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 5.4.18: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.19: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.20: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.21: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.22: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.23: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.24: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.25: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.26: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.27: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
 5.4.28: Evaluating a Definite Integral In Exercises 538, evaluate the defin...
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 5.4.39: Finding the Area of a Region In Exercises 3942, determine the area ...
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 5.4.42: Finding the Area of a Region In Exercises 3942, determine the area ...
 5.4.43: Finding the Area of a Region In Exercises 4348, find the area of th...
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 5.4.49: Using the Mean Value Theorem for Integrals In Exercises 4954, find ...
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 5.4.55: Finding the Average Value of a Function In Exercises 55 60, find th...
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 5.4.61: Velocity The graph shows the velocity, in feet per second, of a car...
 5.4.62: Velocity The graph shows the velocity, in feet per second, of a dec...
 5.4.63: Using a Graph The graph of is shown in the figure. (a) Evaluate (b)...
 5.4.64: Rate of Growth Let represent the rate of growth of a dog, in pounds...
 5.4.65: Force The force (in newtons) of a hydraulic cylinder in a press is ...
 5.4.66: Blood Flow The velocity of the flow of blood at a distance from the...
 5.4.67: Respiratory Cycle The volume in liters, of air in the lungs during ...
 5.4.68: Average Sales A company fits a model to the monthly sales data for ...
 5.4.69: Modeling Data An experimental vehicle is tested on a straight track...
 5.4.70: HOW DO YOU SEE IT? The graph of is shown in the figure. The shaded ...
 5.4.71: Evaluating a Definite Integral In Exercises 7176, find as a functio...
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 5.4.77: Analyzing a Function Let where is the function whose graph is shown...
 5.4.78: Analyzing a Function Let where is the function whose graph is shown...
 5.4.79: Finding and Checking an Integral In Exercises 7986, (a) integrate t...
 5.4.80: Finding and Checking an Integral In Exercises 7986, (a) integrate t...
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 5.4.82: Finding and Checking an Integral In Exercises 7986, (a) integrate t...
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 5.4.87: Using the Second Fundamental Theorem of Calculus In Exercises 8792,...
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 5.4.99: Graphical Analysis Sketch an approximate graph of on the interval w...
 5.4.100: Area The area between the graph of the function and the axis over t...
 5.4.101: Particle Motion In Exercises 101106, the velocity function, in feet...
 5.4.102: Particle Motion In Exercises 101106, the velocity function, in feet...
 5.4.103: Particle Motion In Exercises 101106, the velocity function, in feet...
 5.4.104: Particle Motion In Exercises 101106, the velocity function, in feet...
 5.4.105: Particle Motion In Exercises 101106, the velocity function, in feet...
 5.4.106: Particle Motion In Exercises 101106, the velocity function, in feet...
 5.4.107: Particle Motion A particle is moving along the axis. The position ...
 5.4.108: Particle Motion Repeat Exercise 107 for the position function given by
 5.4.109: Water Flow Water flows from a storage tank at a rate of liters per ...
 5.4.110: Oil Leak At 1:00 P.M., oil begins leaking from a tank at a rate of ...
 5.4.111: Error Analysis In Exercises 111114, describe why the statement is i...
 5.4.112: Error Analysis In Exercises 111114, describe why the statement is i...
 5.4.113: Error Analysis In Exercises 111114, describe why the statement is i...
 5.4.114: Error Analysis In Exercises 111114, describe why the statement is i...
 5.4.115: Buffons Needle Experiment A horizontal plane is ruled with parallel...
 5.4.116: Proof Prove that
 5.4.117: True or False? In Exercises 117 and 118, determine whether the stat...
 5.4.118: True or False? In Exercises 117 and 118, determine whether the stat...
 5.4.119: Analyzing a Function Show that the function is constant for
 5.4.120: Finding a Function Find the function and all values of such that
 5.4.121: Finding Values Let where is continuous for all real Find (a) (b) (c...
Solutions for Chapter 5.4: The Fundamental Theorem of Calculus
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 5.4: The Fundamental Theorem of Calculus
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 121 problems in chapter 5.4: The Fundamental Theorem of Calculus have been answered, more than 45460 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Chapter 5.4: The Fundamental Theorem of Calculus includes 121 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Addition property of inequality
If u < v , then u + w < v + w

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Circle
A set of points in a plane equally distant from a fixed point called the center

Degree
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Magnitude of an arrow
The magnitude of PQ is the distance between P and Q

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Radicand
See Radical.

Resolving a vector
Finding the horizontal and vertical components of a vector.

Slant line
A line that is neither horizontal nor vertical

Sum of a finite geometric series
Sn = a111  r n 2 1  r

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

Triangular form
A special form for a system of linear equations that facilitates finding the solution.

Union of two sets A and B
The set of all elements that belong to A or B or both.

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

yaxis
Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

yintercept
A point that lies on both the graph and the yaxis.

Zero vector
The vector <0,0> or <0,0,0>.