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# Solutions for Chapter 7.4: Systems of Nonlinear Equations in Two Variables

## Full solutions for Precalculus | 4th Edition

ISBN: 9780321559845

Solutions for Chapter 7.4: Systems of Nonlinear Equations in Two Variables

Solutions for Chapter 7.4
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##### ISBN: 9780321559845

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Precalculus was written by and is associated to the ISBN: 9780321559845. Chapter 7.4: Systems of Nonlinear Equations in Two Variables includes 83 full step-by-step solutions. Since 83 problems in chapter 7.4: Systems of Nonlinear Equations in Two Variables have been answered, more than 67318 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Aphelion

The farthest point from the Sun in a planet’s orbit

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• Difference of two vectors

<u1, u2> - <v1, v2> = <u1 - v1, u2 - v2> or <u1, u2, u3> - <v1, v2, v3> = <u1 - v1, u2 - v2, u3 - v3>

• Distance (in a coordinate plane)

The distance d(P, Q) between P(x, y) and Q(x, y) d(P, Q) = 2(x 1 - x 2)2 + (y1 - y2)2

• Equal complex numbers

Complex numbers whose real parts are equal and whose imaginary parts are equal.

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Horizontal component

See Component form of a vector.

• kth term of a sequence

The kth expression in the sequence

• Minor axis

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

• Product of functions

(ƒg)(x) = ƒ(x)g(x)

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

An equation that can be written in the form ax 2 + bx + c = 01a ? 02

• Response variable

A variable that is affected by an explanatory variable.

• Right-hand limit of ƒ at x a

The limit of ƒ as x approaches a from the right.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• Transformation

A function that maps real numbers to real numbers.

• Variation

See Power function.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

• xz-plane

The points x, 0, z in Cartesian space.

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