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# Solutions for Chapter 5.2: THE DEFINITE INTEGRAL ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 5.2: THE DEFINITE INTEGRAL

Solutions for Chapter 5.2
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##### ISBN: 9781118174920

Since 31 problems in chapter 5.2: THE DEFINITE INTEGRAL have been answered, more than 6821 students have viewed full step-by-step solutions from this chapter. Chapter 5.2: THE DEFINITE INTEGRAL includes 31 full step-by-step solutions. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Anchor

See Mathematical induction.

• Common logarithm

A logarithm with base 10.

• Complements or complementary angles

Two angles of positive measure whose sum is 90°

• Complex number

An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Horizontal translation

A shift of a graph to the left or right.

• Independent variable

Variable representing the domain value of a function (usually x).

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Jump discontinuity at x a

limx:a - ƒ1x2 and limx:a + ƒ1x2 exist but are not equal

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Order of an m x n matrix

The order of an m x n matrix is m x n.

• Period

See Periodic function.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

The graph in three dimensions of a seconddegree equation in three variables.

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Root of a number

See Principal nth root.

• Slope

Ratio change in y/change in x

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• xz-plane

The points x, 0, z in Cartesian space.

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