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# Solutions for Chapter 12: Essential Calculus 2nd Edition ## Full solutions for Essential Calculus | 2nd Edition

ISBN: 9781133112297 Solutions for Chapter 12

Solutions for Chapter 12
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##### ISBN: 9781133112297

Chapter 12 includes 52 full step-by-step solutions. Essential Calculus was written by and is associated to the ISBN: 9781133112297. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Essential Calculus, edition: 2. Since 52 problems in chapter 12 have been answered, more than 4929 students have viewed full step-by-step solutions from this chapter.

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

The absolute value of the complex number z = a + b is given by ?a2+b2; also, the length of the segment from the origin to z in the complex plane.

• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Angle

Union of two rays with a common endpoint (the vertex). The beginning ray (the initial side) can be rotated about its endpoint to obtain the final position (the terminal side)

• Census

An observational study that gathers data from an entire population

• Compound fraction

A fractional expression in which the numerator or denominator may contain fractions

• Dihedral angle

An angle formed by two intersecting planes,

• Even function

A function whose graph is symmetric about the y-axis for all x in the domain of ƒ.

• Exponential growth function

Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

• Factored form

The left side of u(v + w) = uv + uw.

• Identity function

The function ƒ(x) = x.

• Inverse secant function

The function y = sec-1 x

• Periodic function

A function ƒ for which there is a positive number c such that for every value t in the domain of ƒ. The smallest such number c is the period of the function.

• 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.

• Response variable

A variable that is affected by an explanatory variable.

• Richter scale

A logarithmic scale used in measuring the intensity of an earthquake.

• Shrink of factor c

A transformation of a graph obtained by multiplying all the x-coordinates (horizontal shrink) by the constant 1/c or all of the y-coordinates (vertical shrink) by the constant c, 0 < c < 1.

• Sinusoidal regression

A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

• Tangent

The function y = tan x

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

• Zero of a function

A value in the domain of a function that makes the function value zero.

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