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# Solutions for Chapter 14.1: DOUBLE INTEGRALS

## Full solutions for Calculus: Early Transcendentals, | 10th Edition

ISBN: 9780470647691

Solutions for Chapter 14.1: DOUBLE INTEGRALS

Solutions for Chapter 14.1
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##### ISBN: 9780470647691

Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691. Chapter 14.1: DOUBLE INTEGRALS includes 46 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 46 problems in chapter 14.1: DOUBLE INTEGRALS have been answered, more than 39815 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Annual percentage yield (APY)

The rate that would give the same return if interest were computed just once a year

• Annuity

A sequence of equal periodic payments.

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• equation of a hyperbola

(x - h)2 a2 - (y - k)2 b2 = 1 or (y - k)2 a2 - (x - h)2 b2 = 1

• equation of a parabola

(x - h)2 = 4p(y - k) or (y - k)2 = 4p(x - h)

• Event

A subset of a sample space.

• Identity properties

a + 0 = a, a ? 1 = a

• Implied domain

The domain of a function’s algebraic expression.

• Linear system

A system of linear equations

• Magnitude of a real number

See Absolute value of a real number

• Midpoint (in Cartesian space)

For the line segment with endpoints (x 1, y1, z 1) and (x2, y2, z2), ax 1 + x 22 ,y1 + y22 ,z 1 + z 22 b

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Polar axis

See Polar coordinate system.

• Pseudo-random numbers

Computer-generated numbers that can be used to approximate true randomness in scientific studies. Since they depend on iterative computer algorithms, they are not truly random

• Reference angle

See Reference triangle

• Reflection across the y-axis

x, y and (-x,y) are reflections of each other across the y-axis.

• Root of a number

See Principal nth root.

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Vertices of a hyperbola

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

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