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Get Full Access to Calculus - Textbook Survival Guide
Get Full Access to Calculus - Textbook Survival Guide
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# Solutions for Chapter 5.3: Changing the Order of Integration

## Full solutions for Vector Calculus | 4th Edition

ISBN: 9780321780652

Solutions for Chapter 5.3: Changing the Order of Integration

Solutions for Chapter 5.3
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##### ISBN: 9780321780652

Chapter 5.3: Changing the Order of Integration includes 21 full step-by-step solutions. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Vector Calculus was written by and is associated to the ISBN: 9780321780652. Since 21 problems in chapter 5.3: Changing the Order of Integration have been answered, more than 12685 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• Bearing

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

• Commutative properties

a + b = b + a ab = ba

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Fitting a line or curve to data

Finding a line or curve that comes close to passing through all the points in a scatter plot.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• Line of symmetry

A line over which a graph is the mirror image of itself

• Linear correlation

A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Ordered set

A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

• Partial sums

See Sequence of partial sums.

• Positive linear correlation

See Linear correlation.

• Repeated zeros

Zeros of multiplicity ? 2 (see Multiplicity).

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Square matrix

A matrix whose number of rows equals the number of columns.

• Translation

See Horizontal translation, Vertical translation.

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Venn diagram

A visualization of the relationships among events within a sample space.

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