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# Solutions for Chapter 5.6: AVERAGE VALUE ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 5.6: AVERAGE VALUE

Solutions for Chapter 5.6
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##### ISBN: 9781118174920

This expansive textbook survival guide covers the following chapters and their solutions. Since 23 problems in chapter 5.6: AVERAGE VALUE have been answered, more than 15740 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Applied Calculus was written by and is associated to the ISBN: 9781118174920. Chapter 5.6: AVERAGE VALUE includes 23 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook

P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)

• Argument of a complex number

The argument of a + bi is the direction angle of the vector {a,b}.

• Boxplot (or box-and-whisker plot)

A graph that displays a five-number summary

• Categorical variable

In statistics, a nonnumerical variable such as gender or hair color. Numerical variables like zip codes, in which the numbers have no quantitative significance, are also considered to be categorical.

• Coefficient of determination

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

• Complex fraction

See Compound fraction.

• Intermediate Value Theorem

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

• Invertible linear system

A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

• kth term of a sequence

The kth expression in the sequence

• Logistic regression

A procedure for fitting a logistic curve to a set of data

• Multiplicative inverse of a complex number

The reciprocal of a + bi, or 1 a + bi = a a2 + b2- ba2 + b2 i

• Normal curve

The graph of ƒ(x) = e-x2/2

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Solution of a system in two variables

An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• 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>

• Statistic

A number that measures a quantitative variable for a sample from a population.

• Vertical component

See Component form of a vector.

• Vertical line test

A test for determining whether a graph is a function.

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