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# Solutions for Chapter 15.4: Greens Theorem

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 15.4: Greens Theorem

Solutions for Chapter 15.4
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##### ISBN: 9780618502981

This expansive textbook survival guide covers the following chapters and their solutions. Since 48 problems in chapter 15.4: Greens Theorem have been answered, more than 76597 students have viewed full step-by-step solutions from this chapter. Chapter 15.4: Greens Theorem includes 48 full step-by-step solutions. Calculus was written by and is associated to the ISBN: 9780618502981. This textbook survival guide was created for the textbook: Calculus, edition: 8.

Key Calculus Terms and definitions covered in this textbook
• Confounding variable

A third variable that affects either of two variables being studied, making inferences about causation unreliable

• Constraints

See Linear programming problem.

• Difference of complex numbers

(a + bi) - (c + di) = (a - c) + (b - d)i

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Geometric series

A series whose terms form a geometric sequence.

• Imaginary unit

The complex number.

• Inductive step

See Mathematical induction.

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Line of symmetry

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

• Minor axis

The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Parametrization

A set of parametric equations for a curve.

• Period

See Periodic function.

• Pythagorean

Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

The graph in three dimensions of a seconddegree equation in three variables.

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Slant asymptote

An end behavior asymptote that is a slant line

• Supply curve

p = ƒ(x), where x represents production and p represents price

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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