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# Solutions for Chapter 12.4: University Calculus: Early Transcendentals 2nd Edition ## Full solutions for University Calculus: Early Transcendentals | 2nd Edition

ISBN: 9780321717399 Solutions for Chapter 12.4

Solutions for Chapter 12.4
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##### ISBN: 9780321717399

Since 34 problems in chapter 12.4 have been answered, more than 54602 students have viewed full step-by-step solutions from this chapter. University Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. Chapter 12.4 includes 34 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: University Calculus: Early Transcendentals , edition: 2.

Key Calculus Terms and definitions covered in this textbook
• Absolute maximum

A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

• Completing the square

A method of adding a constant to an expression in order to form a perfect square

• Complex conjugates

Complex numbers a + bi and a - bi

• Compounded monthly

See Compounded k times per year.

• Cycloid

The graph of the parametric equations

• Difference identity

An identity involving a trigonometric function of u - v

• 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

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Identity matrix

A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

• Inductive step

See Mathematical induction.

• Limaçon

A graph of a polar equation r = a b sin u or r = a b cos u with a > 0 b > 0

• Magnitude of a real number

See Absolute value of a real number

• Major axis

The line segment through the foci of an ellipse with endpoints on the ellipse

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Parametric equations for a line in space

The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

• Polynomial function

A function in which ƒ(x)is a polynomial in x, p. 158.

• Probability of an event in a finite sample space of equally likely outcomes

The number of outcomes in the event divided by the number of outcomes in the sample space.

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

• Weights

See Weighted mean.

• Zoom out

A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).

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