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# Solutions for Chapter 15.7: Divergence Theorem

## Full solutions for Calculus: Early Transcendental Functions | 6th Edition

ISBN: 9781285774770

Solutions for Chapter 15.7: Divergence Theorem

Solutions for Chapter 15.7
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##### ISBN: 9781285774770

This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15.7: Divergence Theorem includes 28 full step-by-step solutions. Since 28 problems in chapter 15.7: Divergence Theorem have been answered, more than 167499 students have viewed full step-by-step solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770.

Key Calculus Terms and definitions covered in this textbook

If u < v , then u + w < v + w

• Arctangent function

See Inverse tangent function.

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Common logarithm

A logarithm with base 10.

• Cycloid

The graph of the parametric equations

• Endpoint of an interval

A real number that represents one “end” of an interval.

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• 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.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Midpoint (on a number line)

For the line segment with endpoints a and b, a + b2

• Negative linear correlation

See Linear correlation.

• Parameter interval

See Parametric equations.

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Reciprocal of a real number

See Multiplicative inverse of a real number.

• Second-degree equation in two variables

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

• Terminal point

See Arrow.

• Transitive property

If a = b and b = c , then a = c. Similar properties hold for the inequality symbols <, >, ?, ?.

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

• Xmin

The x-value of the left side of the viewing window,.