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# Solutions for Chapter 16.4: DOUBLE INTEGRALS IN POLAR COORDINATES ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 16.4: DOUBLE INTEGRALS IN POLAR COORDINATES

Solutions for Chapter 16.4
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##### ISBN: 9780470888612

Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 16.4: DOUBLE INTEGRALS IN POLAR COORDINATES includes 42 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 42 problems in chapter 16.4: DOUBLE INTEGRALS IN POLAR COORDINATES have been answered, more than 43580 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook

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

• Amplitude

See Sinusoid.

• Angle of elevation

The acute angle formed by the line of sight (upward) and the horizontal

• Bearing

Measure of the clockwise angle that the line of travel makes with due north

• Binomial coefficients

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

• Blind experiment

An experiment in which subjects do not know if they have been given an active treatment or a placebo

• Coefficient

The real number multiplied by the variable(s) in a polynomial term

• Distance (in a coordinate plane)

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

• Equivalent systems of equations

Systems of equations that have the same solution.

• Exponential decay function

Decay modeled by ƒ(x) = a ? bx, a > 0 with 0 < b < 1.

• 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.

• Identity function

The function ƒ(x) = x.

• Irreducible quadratic over the reals

A quadratic polynomial with real coefficients that cannot be factored using real coefficients.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Lower bound test for real zeros

A test for finding a lower bound for the real zeros of a polynomial

• Real number

Any number that can be written as a decimal.

• Remainder polynomial

See Division algorithm for polynomials.

• Secant

The function y = sec x.

• Unit vector

Vector of length 1.

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

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