 14.8.1: In Exercises 18, find the Jacobian for the indicated change of vari...
 14.8.2: In Exercises 18, find the Jacobian for the indicated change of vari...
 14.8.3: In Exercises 18, find the Jacobian for the indicated change of vari...
 14.8.4: In Exercises 18, find the Jacobian for the indicated change of vari...
 14.8.5: In Exercises 18, find the Jacobian for the indicated change of vari...
 14.8.6: In Exercises 18, find the Jacobian for the indicated change of vari...
 14.8.7: In Exercises 18, find the Jacobian for the indicated change of vari...
 14.8.8: In Exercises 18, find the Jacobian for the indicated change of vari...
 14.8.9: In Exercises 9 and 10, sketch the image in the plane of the region...
 14.8.10: In Exercises 9 and 10, sketch the image in the plane of the region...
 14.8.11: In Exercises 1116, use the indicated change of variables to evaluat...
 14.8.12: In Exercises 1116, use the indicated change of variables to evaluat...
 14.8.13: In Exercises 1116, use the indicated change of variables to evaluat...
 14.8.14: In Exercises 1116, use the indicated change of variables to evaluat...
 14.8.15: In Exercises 1116, use the indicated change of variables to evaluat...
 14.8.16: In Exercises 1116, use the indicated change of variables to evaluat...
 14.8.17: In Exercises 1722, use a change of variables to find the volume of ...
 14.8.18: In Exercises 1722, use a change of variables to find the volume of ...
 14.8.19: In Exercises 1722, use a change of variables to find the volume of ...
 14.8.20: In Exercises 1722, use a change of variables to find the volume of ...
 14.8.21: In Exercises 1722, use a change of variables to find the volume of ...
 14.8.22: In Exercises 1722, use a change of variables to find the volume of ...
 14.8.23: Consider the region in the plane bounded by the ellipse and the tra...
 14.8.24: Use the result of Exercise 23 to find the volume of each domeshaped...
 14.8.25: State the definition of the Jacobian.
 14.8.26: Describe how to use the Jacobian to change variables in double inte...
 14.8.27: In Exercises 2730, find the Jacobian for the indicated change of va...
 14.8.28: In Exercises 2730, find the Jacobian for the indicated change of va...
 14.8.29: In Exercises 2730, find the Jacobian for the indicated change of va...
 14.8.30: In Exercises 2730, find the Jacobian for the indicated change of va...
 14.8.31: Let be the area of the region in the first quadrant bounded bythe l...
Solutions for Chapter 14.8: Change of Variables: Jacobians
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 14.8: Change of Variables: Jacobians
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Chapter 14.8: Change of Variables: Jacobians includes 31 full stepbystep solutions. Since 31 problems in chapter 14.8: Change of Variables: Jacobians have been answered, more than 38744 students have viewed full stepbystep solutions from this chapter.

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

Base
See Exponential function, Logarithmic function, nth power of a.

Cubic
A degree 3 polynomial function

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Fibonacci sequence
The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

Halfplane
The graph of the linear inequality y ? ax + b, y > ax + b y ? ax + b, or y < ax + b.

Inverse properties
a + 1a2 = 0, a # 1a

Measure of center
A measure of the typical, middle, or average value for a data set

Mode of a data set
The category or number that occurs most frequently in the set.

Onetoone rule of logarithms
x = y if and only if logb x = logb y.

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Rational zeros
Zeros of a function that are rational numbers.

Relevant domain
The portion of the domain applicable to the situation being modeled.

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

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

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Subtraction
a  b = a + (b)

Synthetic division
A procedure used to divide a polynomial by a linear factor, x  a

Triangular form
A special form for a system of linear equations that facilitates finding the solution.