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# Solutions for Chapter 5: THE INTEGRAL ## Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885 Solutions for Chapter 5: THE INTEGRAL

Solutions for Chapter 5
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##### ISBN: 9781464114885

Chapter 5: THE INTEGRAL includes 126 full step-by-step solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Since 126 problems in chapter 5: THE INTEGRAL have been answered, more than 41858 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Boundary

The set of points on the “edge” of a region

• Compound interest

Interest that becomes part of the investment

• Conditional probability

The probability of an event A given that an event B has already occurred

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Inverse relation (of the relation R)

A relation that consists of all ordered pairs b, a for which a, b belongs to R.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• kth term of a sequence

The kth expression in the sequence

• Modulus

See Absolute value of a complex number.

• Permutations of n objects taken r at a time

There are nPr = n!1n - r2! such permutations

• Positive angle

Angle generated by a counterclockwise rotation.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• Rational zeros

Zeros of a function that are rational numbers.

• Semiperimeter of a triangle

One-half of the sum of the lengths of the sides of a triangle.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Solve by elimination or substitution

Methods for solving systems of linear equations.

• Solve by substitution

Method for solving systems of linear equations.

• System

A set of equations or inequalities.

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• Vertical translation

A shift of a graph up or down.

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