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# Solutions for Chapter 15.5: Applications of Double Integrals ## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909 Solutions for Chapter 15.5: Applications of Double Integrals

Solutions for Chapter 15.5
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##### ISBN: 9780538497909

Since 33 problems in chapter 15.5: Applications of Double Integrals have been answered, more than 10445 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15.5: Applications of Double Integrals includes 33 full step-by-step solutions. Calculus: Early Transcendentals was written by Patricia and is associated to the ISBN: 9780538497909. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7.

Key Calculus Terms and definitions covered in this textbook
• Binomial coefficients

The numbers in Pascal’s triangle: nCr = anrb = n!r!1n - r2!

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• Composition of functions

(f ? g) (x) = f (g(x))

• Descriptive statistics

The gathering and processing of numerical information

• Distance (in Cartesian space)

The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x ) - x 2)2 + (y1 - y2)2 + (z 1 - z 2)2

• Double inequality

A statement that describes a bounded interval, such as 3 ? x < 5

• Equally likely outcomes

Outcomes of an experiment that have the same probability of occurring.

• Hyperboloid of revolution

A surface generated by rotating a hyperbola about its transverse axis, p. 607.

• Imaginary part of a complex number

See Complex number.

• Magnitude of a real number

See Absolute value of a real number

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Polar coordinate system

A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

• 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)

• Positive association

A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Sum identity

An identity involving a trigonometric function of u + v

• y-axis

Usually the vertical coordinate line in a Cartesian coordinate system with positive direction up, pp. 12, 629.

• Zero matrix

A matrix consisting entirely of zeros.

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