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# Solutions for Chapter 4.8: University Calculus: Early Transcendentals 2nd Edition ## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399 Solutions for Chapter 4.8

Solutions for Chapter 4.8
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##### ISBN: 9780321717399

This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 132 problems in chapter 4.8 have been answered, more than 61639 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Chapter 4.8 includes 132 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a vector

See Magnitude of a vector.

• Amplitude

See Sinusoid.

• Arcsine function

See Inverse sine function.

• Coefficient matrix

A matrix whose elements are the coefficients in a system of linear equations

• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Constant function (on an interval)

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

• Cubic

A degree 3 polynomial function

• Distance (in Cartesian space)

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

• Equation

A statement of equality between two expressions.

• equation of an ellipse

(x - h2) a2 + (y - k)2 b2 = 1 or (y - k)2 a2 + (x - h)2 b2 = 1

• Gaussian elimination

A method of solving a system of n linear equations in n unknowns.

• Higher-degree polynomial function

A polynomial function whose degree is ? 3

See Polynomial function in x

• Local maximum

A value ƒ(c) is a local maximum of ƒ if there is an open interval I containing c such that ƒ(x) < ƒ(c) for all values of x in I

• n-set

A set of n objects.

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• Positive angle

Angle generated by a counterclockwise rotation.

• Standard form of a polynomial function

ƒ(x) = an x n + an-1x n-1 + Á + a1x + a0

• Vector equation for a line in space

The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

• Yscl

The scale of the tick marks on the y-axis in a viewing window.

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