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# Solutions for Chapter 14.7: Triple Integrals in Cylindrical and Spherical Coordinates

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 14.7: Triple Integrals in Cylindrical and Spherical Coordinates

Solutions for Chapter 14.7
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##### ISBN: 9780618502981

Calculus was written by and is associated to the ISBN: 9780618502981. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Since 46 problems in chapter 14.7: Triple Integrals in Cylindrical and Spherical Coordinates have been answered, more than 84590 students have viewed full step-by-step solutions from this chapter. Chapter 14.7: Triple Integrals in Cylindrical and Spherical Coordinates includes 46 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• Central angle

An angle whose vertex is the center of a circle

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Data

Facts collected for statistical purposes (singular form is datum)

• Dihedral angle

An angle formed by two intersecting planes,

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Domain of a function

The set of all input values for a function

• Equal matrices

Matrices that have the same order and equal corresponding elements.

• Implied domain

The domain of a function’s algebraic expression.

• Leaf

The final digit of a number in a stemplot.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Line of symmetry

A line over which a graph is the mirror image of itself

• Linear programming problem

A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

• Measure of an angle

The number of degrees or radians in an angle

• Opens upward or downward

A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

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

• Scientific notation

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

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Vertices of a hyperbola

The points where a hyperbola intersects the line containing its foci.

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