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# Solutions for Chapter 20.3: THE THREE FUNDAMENTAL THEOREMS ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 20.3: THE THREE FUNDAMENTAL THEOREMS

Solutions for Chapter 20.3
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##### ISBN: 9780470888612

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 20.3: THE THREE FUNDAMENTAL THEOREMS includes 38 full step-by-step solutions. Since 38 problems in chapter 20.3: THE THREE FUNDAMENTAL THEOREMS have been answered, more than 13272 students have viewed full step-by-step solutions from this chapter. Calculus: Single and Multivariable was written by Patricia and is associated to the ISBN: 9780470888612. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Base

See Exponential function, Logarithmic function, nth power of a.

• Binomial probability

In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n - k2!pk11 - p) n-k where p is the probability of the outcome occurring once

• Compounded annually

See Compounded k times per year.

• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Constraints

See Linear programming problem.

• Identity function

The function ƒ(x) = x.

• Interquartile range

The difference between the third quartile and the first quartile.

• Linear regression line

The line for which the sum of the squares of the residuals is the smallest possible

• Matrix element

Any of the real numbers in a matrix

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Negative numbers

Real numbers shown to the left of the origin on a number line.

• Polar coordinates

The numbers (r, ?) that determine a point’s location in a polar coordinate system. The number r is the directed distance and ? is the directed angle

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Reflexive property of equality

a = a

• Sample standard deviation

The standard deviation computed using only a sample of the entire population.

• Sine

The function y = sin x.

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Translation

See Horizontal translation, Vertical translation.

• Vertical stretch or shrink

See Stretch, Shrink.

• Xmin

The x-value of the left side of the viewing window,.

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