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# Solutions for Chapter 10.2: Introduction to Conics: Parabolas

## Full solutions for Precalculus | 7th Edition

ISBN: 9780618643448

Solutions for Chapter 10.2: Introduction to Conics: Parabolas

Solutions for Chapter 10.2
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##### ISBN: 9780618643448

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 10.2: Introduction to Conics: Parabolas includes 90 full step-by-step solutions. Precalculus was written by and is associated to the ISBN: 9780618643448. This textbook survival guide was created for the textbook: Precalculus, edition: 7. Since 90 problems in chapter 10.2: Introduction to Conics: Parabolas have been answered, more than 39953 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Associative properties

a + (b + c) = (a + b) + c, a(bc) = (ab)c.

• Average rate of change of ƒ over [a, b]

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

• Continuous at x = a

lim x:a x a ƒ(x) = ƒ(a)

• Divisor of a polynomial

See Division algorithm for polynomials.

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Heron’s formula

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

• Irrational zeros

Zeros of a function that are irrational numbers.

• Linear system

A system of linear equations

• Maximum r-value

The value of |r| at the point on the graph of a polar equation that has the maximum distance from the pole

• Multiplication property of equality

If u = v and w = z, then uw = vz

• 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

• Parabola

The graph of a quadratic function, or the set of points in a plane that are equidistant from a fixed point (the focus) and a fixed line (the directrix).

• Partial fractions

The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

• Principle of mathematical induction

A principle related to mathematical induction.

• Quotient of complex numbers

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

• Riemann sum

A sum where the interval is divided into n subintervals of equal length and is in the ith subinterval.

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Triangular form

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

• Upper bound for ƒ

Any number B for which ƒ(x) ? B for all x in the domain of ƒ.

• Variable (in statistics)

A characteristic of individuals that is being identified or measured.

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