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# Solutions for Chapter 12.5: The Binomial Theorem

## Full solutions for Algebra and Trigonometry, | 3rd Edition

ISBN: 9780840068132

Solutions for Chapter 12.5: The Binomial Theorem

Solutions for Chapter 12.5
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##### ISBN: 9780840068132

This textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132. This expansive textbook survival guide covers the following chapters and their solutions. Since 62 problems in chapter 12.5: The Binomial Theorem have been answered, more than 45788 students have viewed full step-by-step solutions from this chapter. Chapter 12.5: The Binomial Theorem includes 62 full step-by-step solutions.

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

See Inverse cotangent function.

• Cofunction identity

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

• Cosine

The function y = cos x

• Cubic

A degree 3 polynomial function

• Derivative of ƒ

The function defined by ƒ'(x) = limh:0ƒ(x + h) - ƒ(x)h for all of x where the limit exists

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• equation of a quadratic function

ƒ(x) = ax 2 + bx + c(a ? 0)

• Frequency

Reciprocal of the period of a sinusoid.

• Gaussian curve

See Normal curve.

• Histogram

A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

• Lower bound of f

Any number b for which b < ƒ(x) for all x in the domain of ƒ

• nth power of a

The number with n factors of a , where n is the exponent and a is the base.

• Ordinary annuity

An annuity in which deposits are made at the same time interest is posted.

• Power regression

A procedure for fitting a curve y = a . x b to a set of data.

• Real axis

See Complex plane.

• Relevant domain

The portion of the domain applicable to the situation being modeled.

• Second quartile

See Quartile.

• Sinusoid

A function that can be written in the form f(x) = a sin (b (x - h)) + k or f(x) = a cos (b(x - h)) + k. The number a is the amplitude, and the number h is the phase shift.

• 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>

• Upper bound for real zeros

A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.

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