 5.3.1: Consider the integral 2 0 2x x2 (2x + 1) dy dx. (a) Evaluate this i...
 5.3.2: In Exercises 29, sketch the region of integration, reverse the orde...
 5.3.3: In Exercises 29, sketch the region of integration, reverse the orde...
 5.3.4: In Exercises 29, sketch the region of integration, reverse the orde...
 5.3.5: In Exercises 29, sketch the region of integration, reverse the orde...
 5.3.6: In Exercises 29, sketch the region of integration, reverse the orde...
 5.3.7: In Exercises 29, sketch the region of integration, reverse the orde...
 5.3.8: In Exercises 29, sketch the region of integration, reverse the orde...
 5.3.9: In Exercises 29, sketch the region of integration, reverse the orde...
 5.3.10: When you reverse the order of integration in Exercises 10 and 11, y...
 5.3.11: When you reverse the order of integration in Exercises 10 and 11, y...
 5.3.12: In Exercises 12 and 13, rewrite the given sum of iterated integrals...
 5.3.13: In Exercises 12 and 13, rewrite the given sum of iterated integrals...
 5.3.14: In Exercises 1418, evaluate the given iterated integral.1 0 3 3y co...
 5.3.15: In Exercises 1418, evaluate the given iterated integral.1 0 1 y x 2...
 5.3.16: In Exercises 1418, evaluate the given iterated integral. 0 y sin x ...
 5.3.17: In Exercises 1418, evaluate the given iterated integral.3 0 9x2 0 x...
 5.3.18: In Exercises 1418, evaluate the given iterated integral.2 0 1 y/2 e...
 5.3.19: It is interesting to see what a computer algebra system does with i...
 5.3.20: It is interesting to see what a computer algebra system does with i...
 5.3.21: It is interesting to see what a computer algebra system does with i...
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
Get Full SolutionsChapter 5.3: Changing the Order of Integration includes 21 full stepbystep 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 stepbystep solutions from this chapter.

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 xaxis

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°.

Onetoone 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 xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (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.