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# Solutions for Chapter 5.4: INTERPRETATIONS OF THE DEFINITE INTEGRAL

## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920

Solutions for Chapter 5.4: INTERPRETATIONS OF THE DEFINITE INTEGRAL

Solutions for Chapter 5.4
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##### ISBN: 9781118174920

Applied Calculus was written by and is associated to the ISBN: 9781118174920. Chapter 5.4: INTERPRETATIONS OF THE DEFINITE INTEGRAL includes 42 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 42 problems in chapter 5.4: INTERPRETATIONS OF THE DEFINITE INTEGRAL have been answered, more than 35145 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Bounded above

A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

• Degree of a polynomial (function)

The largest exponent on the variable in any of the terms of the polynomial (function)

• Determinant

A number that is associated with a square matrix

• equation of an ellipse

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

• Graphical model

A visible representation of a numerical or algebraic model.

See Polynomial function in x

• Leibniz notation

The notation dy/dx for the derivative of ƒ.

• Length of a vector

See Magnitude of a vector.

• Limit

limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

• Limit at infinity

limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x:- q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

• Logarithm

An expression of the form logb x (see Logarithmic function)

• Logistic regression

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

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Point-slope form (of a line)

y - y1 = m1x - x 12.

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

A procedure for fitting a quadratic function to a set of data.

• Rational expression

An expression that can be written as a ratio of two polynomials.

• Reciprocal function

The function ƒ(x) = 1x

• Zero factor property

If ab = 0 , then either a = 0 or b = 0.

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