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# Solutions for Chapter 5.6: THE FUNDAMENTAL THEOREM OF CALCULUS ## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691 Solutions for Chapter 5.6: THE FUNDAMENTAL THEOREM OF CALCULUS

Solutions for Chapter 5.6
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##### ISBN: 9780470647691

Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Chapter 5.6: THE FUNDAMENTAL THEOREM OF CALCULUS includes 75 full step-by-step solutions. Since 75 problems in chapter 5.6: THE FUNDAMENTAL THEOREM OF CALCULUS have been answered, more than 38616 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Bias

A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Continuous function

A function that is continuous on its entire domain

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• equation of a hyperbola

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

• equation of an ellipse

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

• Fundamental

Theorem of Algebra A polynomial function of degree has n complex zeros (counting multiplicity).

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Horizontal shrink or stretch

See Shrink, stretch.

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• Natural logarithmic regression

A procedure for fitting a logarithmic curve to a set of data.

• Natural numbers

The numbers 1, 2, 3, . . . ,.

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Random numbers

Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

• Reference angle

See Reference triangle

• Relation

A set of ordered pairs of real numbers.

A graph in which (-x, -y) is on the the graph whenever (x, y) is; or a graph in which (-r, ?) or (r, ? + ?) is on the graph whenever (r, ?) is

• Tree diagram

A visualization of the Multiplication Principle of Probability.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

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