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# Solutions for Chapter 14.1: Functions of Several Variables

## Full solutions for Calculus: Early Transcendentals | 7th Edition

ISBN: 9780538497909

Solutions for Chapter 14.1: Functions of Several Variables

Solutions for Chapter 14.1
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##### ISBN: 9780538497909

Since 79 problems in chapter 14.1: Functions of Several Variables have been answered, more than 31470 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 14.1: Functions of Several Variables includes 79 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Arccosecant function

See Inverse cosecant function.

• Confounding variable

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

• Constant function (on an interval)

ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Implied domain

The domain of a function’s algebraic expression.

• Inverse variation

See Power function.

• Measure of an angle

The number of degrees or radians in an angle

• Multiplication property of equality

If u = v and w = z, then uw = vz

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Parameter

See Parametric equations.

• Parametric equations

Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

• Parametrization

A set of parametric equations for a curve.

• Projectile motion

The movement of an object that is subject only to the force of gravity

• Projection of u onto v

The vector projv u = au # vƒvƒb2v

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Recursively defined sequence

A sequence defined by giving the first term (or the first few terms) along with a procedure for finding the subsequent terms.

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Velocity

A vector that specifies the motion of an object in terms of its speed and direction.

• x-intercept

A point that lies on both the graph and the x-axis,.

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