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# Solutions for Chapter 6.4: SPECIAL FUNCTIONS ## Full solutions for A First Course in Differential Equations with Modeling Applications | 10th Edition

ISBN: 9781111827052 Solutions for Chapter 6.4: SPECIAL FUNCTIONS

Solutions for Chapter 6.4
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##### ISBN: 9781111827052

Since 54 problems in chapter 6.4: SPECIAL FUNCTIONS have been answered, more than 44176 students have viewed full step-by-step solutions from this chapter. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10. Chapter 6.4: SPECIAL FUNCTIONS includes 54 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions.

Key Calculus Terms and definitions covered in this textbook
• Cofunction identity

An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

• Elements of a matrix

See Matrix element.

• End behavior

The behavior of a graph of a function as.

• Equivalent equations (inequalities)

Equations (inequalities) that have the same solutions.

• Equivalent vectors

Vectors with the same magnitude and direction.

• General form (of a line)

Ax + By + C = 0, where A and B are not both zero.

• Graph of an equation in x and y

The set of all points in the coordinate plane corresponding to the pairs x, y that are solutions of the equation.

• Integers

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

• 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

• Linear equation in x

An equation that can be written in the form ax + b = 0, where a and b are real numbers and a Z 0

• Multiplicative inverse of a complex number

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

• Odd function

A function whose graph is symmetric about the origin (ƒ(-x) = -ƒ(x) for all x in the domain of f).

• Orthogonal vectors

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

• Parametrization

A set of parametric equations for a curve.

• Perihelion

The closest point to the Sun in a planet’s orbit.

• Probability function

A function P that assigns a real number to each outcome O in a sample space satisfying: 0 … P1O2 … 1, P12 = 0, and the sum of the probabilities of all outcomes is 1.

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

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Symmetric matrix

A matrix A = [aij] with the property aij = aji for all i and j

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