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# Solutions for Chapter 10.4: Hyperbolas

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 10.4: Hyperbolas

Solutions for Chapter 10.4
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##### ISBN: 9780618643448

Since 76 problems in chapter 10.4: Hyperbolas have been answered, more than 14366 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Chapter 10.4: Hyperbolas includes 76 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Average rate of change of ƒ over [a, b]

The number ƒ(b) - ƒ(a) b - a, provided a ? b.

• Bounded

A function is bounded if there are numbers b and B such that b ? ƒ(x) ? B for all x in the domain of f.

• 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.

• Complex conjugates

Complex numbers a + bi and a - bi

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Decreasing on an interval

A function f is decreasing on an interval I if, for any two points in I, a positive change in x results in a negative change in ƒ(x)

• End behavior

The behavior of a graph of a function as.

• Finite sequence

A function whose domain is the first n positive integers for some fixed integer n.

• Gaussian elimination

A method of solving a system of n linear equations in n unknowns.

• Instantaneous rate of change

See Derivative at x = a.

• One-to-one rule of exponents

x = y if and only if bx = by.

Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

• Quartile

The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

• Quotient of complex numbers

a + bi c + di = ac + bd c2 + d2 + bc - ad c2 + d2 i

• Quotient polynomial

See Division algorithm for polynomials.

• Range screen

See Viewing window.

• Rectangular coordinate system

See Cartesian coordinate system.

• Remainder theorem

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

• Sum of two vectors

<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

• Xscl

The scale of the tick marks on the x-axis in a viewing window.

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