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# Solutions for Chapter 5.4: Sum and Difference Formulas

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 5.4: Sum and Difference Formulas

Solutions for Chapter 5.4
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##### ISBN: 9780618643448

Since 104 problems in chapter 5.4: Sum and Difference Formulas have been answered, more than 37127 students have viewed full step-by-step solutions from this chapter. Chapter 5.4: Sum and Difference Formulas includes 104 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Precalculus was written by and is associated to the ISBN: 9780618643448.

Key Calculus Terms and definitions covered in this textbook
• Absolute minimum

A value ƒ(c) is an absolute minimum value of ƒ if ƒ(c) ? ƒ(x)for all x in the domain of ƒ.

• Compound interest

Interest that becomes part of the investment

• Conditional probability

The probability of an event A given that an event B has already occurred

• Definite integral

The definite integral of the function ƒ over [a,b] is Lbaƒ(x) dx = limn: q ani=1 ƒ(xi) ¢x provided the limit of the Riemann sums exists

• Division algorithm for polynomials

Given ƒ(x), d(x) ? 0 there are unique polynomials q1x (quotient) and r1x(remainder) ƒ1x2 = d1x2q1x2 + r1x2 with with either r1x2 = 0 or degree of r(x) 6 degree of d1x2

• Dot product

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

• First-degree equation in x , y, and z

An equation that can be written in the form.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Identity function

The function ƒ(x) = x.

• Initial value of a function

ƒ 0.

• Integrable over [a, b] Lba

ƒ1x2 dx exists.

• Multiplication property of inequality

If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

• NDER ƒ(a)

See Numerical derivative of ƒ at x = a.

• Parameter interval

See Parametric equations.

• Polynomial in x

An expression that can be written in the form an x n + an-1x n-1 + Á + a1x + a0, where n is a nonnegative integer, the coefficients are real numbers, and an ? 0. The degree of the polynomial is n, the leading coefficient is an, the leading term is anxn, and the constant term is a0. (The number 0 is the zero polynomial)

• Rational function

Function of the form ƒ(x)/g(x) where ƒ(x) and g(x) are polynomials and g(x) is not the zero polynomial.

• Row operations

See Elementary row operations.

• Third quartile

See Quartile.

• Triangular number

A number that is a sum of the arithmetic series 1 + 2 + 3 + ... + n for some natural number n.

• Weighted mean

A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

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