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# Solutions for Chapter 6: Applications of Integration

## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397

Solutions for Chapter 6: Applications of Integration

Solutions for Chapter 6
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##### ISBN: 9780534393397

This expansive textbook survival guide covers the following chapters and their solutions. Since 32 problems in chapter 6: Applications of Integration have been answered, more than 43754 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Chapter 6: Applications of Integration includes 32 full step-by-step solutions. Calculus, was written by and is associated to the ISBN: 9780534393397.

Key Calculus Terms and definitions covered in this textbook
• Acceleration due to gravity

g ? 32 ft/sec2 ? 9.8 m/sec

• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Double-angle identity

An identity involving a trigonometric function of 2u

• Ellipsoid of revolution

A surface generated by rotating an ellipse about its major axis

• Nonsingular matrix

A square matrix with nonzero determinant

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

• Pole

See Polar coordinate system.

• Positive angle

Angle generated by a counterclockwise rotation.

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Range (in statistics)

The difference between the greatest and least values in a data set.

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Scientific notation

A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.

• Sinusoidal regression

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

• Transformation

A function that maps real numbers to real numbers.

• 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.

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

• Yscl

The scale of the tick marks on the y-axis in a viewing window.

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