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# Solutions for Chapter 6: The Change of Variables Formula and Applications of Integration

## Full solutions for Vector Calculus | 6th Edition

ISBN: 9781429215084

Solutions for Chapter 6: The Change of Variables Formula and Applications of Integration

Solutions for Chapter 6
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##### ISBN: 9781429215084

Since 33 problems in chapter 6: The Change of Variables Formula and Applications of Integration have been answered, more than 971 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6: The Change of Variables Formula and Applications of Integration includes 33 full step-by-step solutions. Vector Calculus was written by and is associated to the ISBN: 9781429215084. This textbook survival guide was created for the textbook: Vector Calculus, edition: 6.

Key Calculus Terms and definitions covered in this textbook
• Algebraic expression

A combination of variables and constants involving addition, subtraction, multiplication, division, powers, and roots

• Compounded k times per year

Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

• Constant term

See Polynomial function

• End behavior asymptote of a rational function

A polynomial that the function approaches as.

• Gaussian elimination

A method of solving a system of n linear equations in n unknowns.

• Imaginary axis

See Complex plane.

• Implicitly defined function

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

• Infinite discontinuity at x = a

limx:a + x a ƒ(x) = q6 or limx:a - ƒ(x) = q.

• Multiplication principle of probability

If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(A|B) # P(B)

• Reference angle

See Reference triangle

• Root of a number

See Principal nth root.

• Scatter plot

A plot of all the ordered pairs of a two-variable data set on a coordinate plane.

• Slant line

A line that is neither horizontal nor vertical

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

• Vertex of an angle

See Angle.

• Vertical component

See Component form of a vector.

• Zero factorial

See n factorial.

• Zoom out

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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