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Get Full Access to Calculus - Textbook Survival Guide
Get Full Access to Calculus - Textbook Survival Guide
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# Solutions for Chapter 4.8: PARAMETRIC EQUATIONS

## Full solutions for Calculus: Single and Multivariable | 6th Edition

ISBN: 9780470888612

Solutions for Chapter 4.8: PARAMETRIC EQUATIONS

Solutions for Chapter 4.8
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##### ISBN: 9780470888612

Chapter 4.8: PARAMETRIC EQUATIONS includes 67 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Single and Multivariable , edition: 6. Since 67 problems in chapter 4.8: PARAMETRIC EQUATIONS have been answered, more than 42291 students have viewed full step-by-step solutions from this chapter. Calculus: Single and Multivariable was written by and is associated to the ISBN: 9780470888612.

Key Calculus Terms and definitions covered in this textbook
• Arc length formula

The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

• Cosecant

The function y = csc x

• Extraneous solution

Any solution of the resulting equation that is not a solution of the original equation.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Horizontal line

y = b.

• Imaginary axis

See Complex plane.

• Inverse cosine function

The function y = cos-1 x

• Local extremum

A local maximum or a local minimum

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• Magnitude of a real number

See Absolute value of a real number

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Sphere

A set of points in Cartesian space equally distant from a fixed point called the center.

• Standard form of a complex number

a + bi, where a and b are real numbers

• Sum of complex numbers

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

• Unit vector in the direction of a vector

A unit vector that has the same direction as the given vector.

• Viewing window

The rectangular portion of the coordinate plane specified by the dimensions [Xmin, Xmax] by [Ymin, Ymax].

• 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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