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# Solutions for Chapter 15.1: Double Integrals over Rectangles ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 15.1: Double Integrals over Rectangles

Solutions for Chapter 15.1
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##### ISBN: 9780534393397

Since 18 problems in chapter 15.1: Double Integrals over Rectangles have been answered, more than 43418 students have viewed full step-by-step solutions from this chapter. Chapter 15.1: Double Integrals over Rectangles includes 18 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Calculus, was written by and is associated to the ISBN: 9780534393397. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Closed interval

An interval that includes its endpoints

• Constant

A letter or symbol that stands for a specific number,

• Derivative of ƒ at x a

ƒ'(a) = lim x:a ƒ(x) - ƒ(a) x - a provided the limit exists

• Direction of an arrow

The angle the arrow makes with the positive x-axis

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Equivalent systems of equations

Systems of equations that have the same solution.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Frequency table (in statistics)

A table showing frequencies.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Inverse tangent function

The function y = tan-1 x

• Maximum r-value

The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

• Modified boxplot

A boxplot with the outliers removed.

• Partial fraction decomposition

See Partial fractions.

• Polar distance formula

The distance between the points with polar coordinates (r1, ?1 ) and (r2, ?2 ) = 2r 12 + r 22 - 2r1r2 cos 1?1 - ?22

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Unit vector

Vector of length 1.

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