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# Solutions for Chapter 15.4: Integration in Polar, Cylindrical, and Spherical Coordinates ## Full solutions for Calculus: Early Transcendentals | 3rd Edition

ISBN: 9781464114885 Solutions for Chapter 15.4: Integration in Polar, Cylindrical, and Spherical Coordinates

Solutions for Chapter 15.4
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##### ISBN: 9781464114885

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Chapter 15.4: Integration in Polar, Cylindrical, and Spherical Coordinates includes 60 full step-by-step solutions. Since 60 problems in chapter 15.4: Integration in Polar, Cylindrical, and Spherical Coordinates have been answered, more than 40906 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Conic section (or conic)

A curve obtained by intersecting a double-napped right circular cone with a plane

• Coordinate plane

See Cartesian coordinate system.

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Graphical model

A visible representation of a numerical or algebraic model.

• Inverse variation

See Power function.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Modified boxplot

A boxplot with the outliers removed.

• Multiplicative inverse of a matrix

See Inverse of a matrix

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Period

See Periodic function.

• Perpendicular lines

Two lines that are at right angles to each other

A procedure for fitting a quadratic function to a set of data.

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

• Response variable

A variable that is affected by an explanatory variable.

• Secant

The function y = sec x.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Solution set of an inequality

The set of all solutions of an inequality

• Xscl

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

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