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# Solutions for Chapter 1.6: Inverse Functions and Logarithms ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 1.6: Inverse Functions and Logarithms

Solutions for Chapter 1.6
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##### ISBN: 9780534393397

This textbook survival guide was created for the textbook: Calculus,, edition: 5. Calculus, was written by and is associated to the ISBN: 9780534393397. Chapter 1.6: Inverse Functions and Logarithms includes 76 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 76 problems in chapter 1.6: Inverse Functions and Logarithms have been answered, more than 45378 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.

• Boundary

The set of points on the “edge” of a region

• Coefficient of determination

The number r2 or R2 that measures how well a regression curve fits the data

• Composition of functions

(f ? g) (x) = f (g(x))

• Coordinate(s) of a point

The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian three-dimensional space

• Cycloid

The graph of the parametric equations

• 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.

• Gaussian curve

See Normal curve.

• Graph of a relation

The set of all points in the coordinate plane corresponding to the ordered pairs of the relation.

• Intermediate Value Theorem

If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

• Local extremum

A local maximum or a local minimum

• Nonsingular matrix

A square matrix with nonzero determinant

• One-to-one rule of logarithms

x = y if and only if logb x = logb y.

• Pole

See Polar coordinate system.

• Positive numbers

Real numbers shown to the right of the origin on a number line.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Regression model

An equation found by regression and which can be used to predict unknown values.

• Standard form of a complex number

a + bi, where a and b are real numbers

• yz-plane

The points (0, y, z) in Cartesian space.

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