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# Solutions for Chapter 15.7: TRIPLE INTEGRALS

## Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Solutions for Chapter 15.7: TRIPLE INTEGRALS

Solutions for Chapter 15.7
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##### ISBN: 9780538497879

Chapter 15.7: TRIPLE INTEGRALS includes 55 full step-by-step solutions. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Multivariable Calculus, was written by Patricia and is associated to the ISBN: 9780538497879. Since 55 problems in chapter 15.7: TRIPLE INTEGRALS have been answered, more than 7282 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 value of a vector

See Magnitude of a vector.

• Elimination method

A method of solving a system of linear equations

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Event

A subset of a sample space.

• Focal axis

The line through the focus and perpendicular to the directrix of a conic.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Interquartile range

The difference between the third quartile and the first quartile.

• Inverse cotangent function

The function y = cot-1 x

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• Logarithmic regression

See Natural logarithmic regression

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• nth root

See Principal nth root

• Number line graph of a linear inequality

The graph of the solutions of a linear inequality (in x) on a number line

• Parallel lines

Two lines that are both vertical or have equal slopes.

• Reciprocal function

The function ƒ(x) = 1x

• Reference angle

See Reference triangle

• Rigid transformation

A transformation that leaves the basic shape of a graph unchanged.

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Vertex of an angle

See Angle.

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