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# Solutions for Chapter 9.5: APPLICATIONS AND MODELING ## Full solutions for Applied Calculus | 5th Edition

ISBN: 9781118174920 Solutions for Chapter 9.5: APPLICATIONS AND MODELING

Solutions for Chapter 9.5
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##### ISBN: 9781118174920

This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Chapter 9.5: APPLICATIONS AND MODELING includes 25 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 25 problems in chapter 9.5: APPLICATIONS AND MODELING have been answered, more than 34740 students have viewed full step-by-step solutions from this chapter. Applied Calculus was written by and is associated to the ISBN: 9781118174920.

Key Calculus Terms and definitions covered in this textbook
• Arccotangent function

See Inverse cotangent function.

• Control

The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

• Dihedral angle

An angle formed by two intersecting planes,

• Equation

A statement of equality between two expressions.

• Law of cosines

a2 = b2 + c2 - 2bc cos A, b2 = a2 + c2 - 2ac cos B, c2 = a2 + b2 - 2ab cos C

• Logarithm

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

• Multiplicative inverse of a real number

The reciprocal of b, or 1/b, b Z 0

• n factorial

For any positive integer n, n factorial is n! = n.(n - 1) . (n - 2) .... .3.2.1; zero factorial is 0! = 1

• Observational study

A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

• Open interval

An interval that does not include its endpoints.

• Parallelogram representation of vector addition

Geometric representation of vector addition using the parallelogram determined by the position vectors.

• Piecewise-defined function

A function whose domain is divided into several parts with a different function rule applied to each part, p. 104.

The measure of a central angle whose intercepted arc has a length equal to the circle’s radius.

• 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.

• Remainder theorem

If a polynomial f(x) is divided by x - c , the remainder is ƒ(c)

• Root of an equation

A solution.

• Tangent line of ƒ at x = a

The line through (a, ƒ(a)) with slope ƒ'(a) provided ƒ'(a) exists.

• Vertical component

See Component form of a vector.

• Vertical line test

A test for determining whether a graph is a function.

• Vertical translation

A shift of a graph up or down.

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