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# Solutions for Chapter 15.6: APPLICATIONS OF SURFACE INTEGRALS; FLUX ## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691 Solutions for Chapter 15.6: APPLICATIONS OF SURFACE INTEGRALS; FLUX

Solutions for Chapter 15.6
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##### ISBN: 9780470647691

This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 37 problems in chapter 15.6: APPLICATIONS OF SURFACE INTEGRALS; FLUX have been answered, more than 42198 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Chapter 15.6: APPLICATIONS OF SURFACE INTEGRALS; FLUX includes 37 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Complex plane

A coordinate plane used to represent the complex numbers. The x-axis of the complex plane is called the real axis and the y-axis is the imaginary axis

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• End behavior

The behavior of a graph of a function as.

• Gaussian curve

See Normal curve.

• Half-angle identity

Identity involving a trigonometric function of u/2.

• Horizontal Line Test

A test for determining whether the inverse of a relation is a function.

• Implied domain

The domain of a function’s algebraic expression.

• Initial value of a function

ƒ 0.

• Inverse cotangent function

The function y = cot-1 x

• Inverse reflection principle

If the graph of a relation is reflected across the line y = x , the graph of the inverse relation results.

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Power function

A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Rational zeros

Zeros of a function that are rational numbers.

• RRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the right-hand end point of each subinterval.

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

• 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.

• Variance

The square of the standard deviation.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

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