×
×

Solutions for Chapter 15.1: DOUBLE INTEGRALS OVER RECTANGLES

Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Solutions for Chapter 15.1: DOUBLE INTEGRALS OVER RECTANGLES

Solutions for Chapter 15.1
4 5 0 276 Reviews
29
0
ISBN: 9780538497879

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. Chapter 15.1: DOUBLE INTEGRALS OVER RECTANGLES includes 18 full step-by-step solutions. Since 18 problems in chapter 15.1: DOUBLE INTEGRALS OVER RECTANGLES have been answered, more than 21950 students have viewed full step-by-step solutions from this chapter. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• 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 an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Factored form

The left side of u(v + w) = uv + uw.

• Focal length of a parabola

The directed distance from the vertex to the focus.

• Future value of an annuity

The net amount of money returned from an annuity.

• Horizontal translation

A shift of a graph to the left or right.

• Interval

Connected subset of the real number line with at least two points, p. 4.

• Inverse composition rule

The composition of a one-toone function with its inverse results in the identity function.

• Linear regression equation

Equation of a linear regression line

• Major axis

The line segment through the foci of an ellipse with endpoints on the ellipse

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Positive linear correlation

See Linear correlation.

• Principle of mathematical induction

A principle related to mathematical induction.

• Product rule of logarithms

ogb 1RS2 = logb R + logb S, R > 0, S > 0,

• Rose curve

A graph of a polar equation or r = a cos nu.

• Stretch of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal stretch) by the constant 1/c, or all of the y-coordinates (vertical stretch) of the points by a constant c, c, > 1.

• Unit vector

Vector of length 1.

×