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# Solutions for Chapter 15.4: Greens Theorem ## Full solutions for Calculus: Early Transcendental Functions | 4th Edition

ISBN: 9780618606245 Solutions for Chapter 15.4: Greens Theorem

Solutions for Chapter 15.4
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##### ISBN: 9780618606245

This 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 15.4: Greens Theorem includes 49 full step-by-step solutions. Since 49 problems in chapter 15.4: Greens Theorem have been answered, more than 39470 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Additive inverse of a real number

The opposite of b , or -b

• Algebraic expression

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

• Arccotangent function

See Inverse cotangent function.

• Arcsecant function

See Inverse secant function.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Demand curve

p = g(x), where x represents demand and p represents price

• Determinant

A number that is associated with a square matrix

• Equivalent arrows

Arrows that have the same magnitude and direction.

• Explicitly defined sequence

A sequence in which the kth term is given as a function of k.

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Finite series

Sum of a finite number of terms.

• Instantaneous rate of change

See Derivative at x = a.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Principle of mathematical induction

A principle related to mathematical induction.

• Reflexive property of equality

a = a

• Residual

The difference y1 - (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

• Solve algebraically

Use an algebraic method, including paper and pencil manipulation and obvious mental work, with no calculator or grapher use. When appropriate, the final exact solution may be approximated by a calculator

• Vertex of a parabola

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

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