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# Solutions for Chapter 21.1: COORDINATES AND PARAMETERIZED SURFACES ## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612 Solutions for Chapter 21.1: COORDINATES AND PARAMETERIZED SURFACES

Solutions for Chapter 21.1
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##### ISBN: 9780470888612

This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612. Since 48 problems in chapter 21.1: COORDINATES AND PARAMETERIZED SURFACES have been answered, more than 43423 students have viewed full step-by-step solutions from this chapter. Chapter 21.1: COORDINATES AND PARAMETERIZED SURFACES includes 48 full step-by-step solutions.

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

See Inverse cosecant function.

• Basic logistic function

The function ƒ(x) = 1 / 1 + e-x

• Combination

An arrangement of elements of a set, in which order is not important

• Conditional probability

The probability of an event A given that an event B has already occurred

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Cube root

nth root, where n = 3 (see Principal nth root),

• De Moivre’s theorem

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

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Focus, foci

See Ellipse, Hyperbola, Parabola.

• Law of sines

sin A a = sin B b = sin C c

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• n-set

A set of n objects.

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Root of a number

See Principal nth root.

• Slope-intercept form (of a line)

y = mx + b

• Solve a triangle

To find one or more unknown sides or angles of a triangle

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Term of a polynomial (function)

An expression of the form anxn in a polynomial (function).

• Translation

See Horizontal translation, Vertical translation.

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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