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# Solutions for Chapter 4.7: Precalculus 5th Edition ## Full solutions for Precalculus | 5th Edition

ISBN: 9780321837349 Solutions for Chapter 4.7

Solutions for Chapter 4.7
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##### ISBN: 9780321837349

Precalculus was written by and is associated to the ISBN: 9780321837349. Chapter 4.7 includes 21 full step-by-step solutions. Since 21 problems in chapter 4.7 have been answered, more than 11740 students have viewed full step-by-step solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus, edition: 5.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• Blocking

A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

• 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.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Continuous function

A function that is continuous on its entire domain

• Equilibrium point

A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

• Heron’s formula

The area of ¢ABC with semiperimeter s is given by 2s1s - a21s - b21s - c2.

• Hyperbola

A set of points in a plane, the absolute value of the difference of whose distances from two fixed points (the foci) is a constant.

• Integers

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

• Interval

Connected subset of the real number line with at least two points, p. 4.

• LRAM

A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval

• Multiplicative inverse of a complex number

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

• Origin

The number zero on a number line, or the point where the x- and y-axes cross in the Cartesian coordinate system, or the point where the x-, y-, and z-axes cross in Cartesian three-dimensional space

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Remainder polynomial

See Division algorithm for polynomials.

• Scalar

A real number.

• Second-degree equation in two variables

Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

• Triangular form

A special form for a system of linear equations that facilitates finding the solution.

• Vertex form for a quadratic function

ƒ(x) = a(x - h)2 + k

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