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# Solutions for Chapter 11.6: APPLICATIONS AND MODELING

## Full solutions for Calculus: Single Variable | 6th Edition

ISBN: 9780470888643

Solutions for Chapter 11.6: APPLICATIONS AND MODELING

Solutions for Chapter 11.6
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##### ISBN: 9780470888643

Calculus: Single Variable was written by and is associated to the ISBN: 9780470888643. This textbook survival guide was created for the textbook: Calculus: Single Variable , edition: 6. Since 37 problems in chapter 11.6: APPLICATIONS AND MODELING have been answered, more than 33485 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.6: APPLICATIONS AND MODELING includes 37 full step-by-step solutions.

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

See Inverse cosine function.

• Binomial

A polynomial with exactly two terms

• Binomial theorem

A theorem that gives an expansion formula for (a + b)n

• 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.

• 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

• Double-angle identity

An identity involving a trigonometric function of 2u

• Integers

The numbers . . ., -3, -2, -1, 0,1,2,...2

• Local extremum

A local maximum or a local minimum

• Multiplicative identity for matrices

See Identity matrix

• NINT (ƒ(x), x, a, b)

A calculator approximation to ?ab ƒ(x)dx

• Normal curve

The graph of ƒ(x) = e-x2/2

• Numerical model

A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

• Obtuse triangle

A triangle in which one angle is greater than 90°.

• Orthogonal vectors

Two vectors u and v with u x v = 0.

• Parametrization

A set of parametric equations for a curve.

• Quartic function

A degree 4 polynomial function.

• Reflection through the origin

x, y and (-x,-y) are reflections of each other through the origin.

• Sine

The function y = sin x.

• Vector

An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

• Vertex of a parabola

The point of intersection of a parabola and its line of symmetry.

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