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# Solutions for Chapter 1.2: Graphs of Equations

## Full solutions for Brief Calculus: An Applied Approach | 7th Edition

ISBN: 9780618547197

Solutions for Chapter 1.2: Graphs of Equations

Solutions for Chapter 1.2
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##### ISBN: 9780618547197

Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197. This expansive textbook survival guide covers the following chapters and their solutions. Since 82 problems in chapter 1.2: Graphs of Equations have been answered, more than 24048 students have viewed full step-by-step solutions from this chapter. Chapter 1.2: Graphs of Equations includes 82 full step-by-step solutions. This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7.

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.

• Annuity

A sequence of equal periodic payments.

• Coterminal angles

Two angles having the same initial side and the same terminal side

• Equation

A statement of equality between two expressions.

• Factoring (a polynomial)

Writing a polynomial as a product of two or more polynomial factors.

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Fibonacci sequence

The sequence 1, 1, 2, 3, 5, 8, 13, . . ..

• Identity properties

a + 0 = a, a ? 1 = a

• Irrational zeros

Zeros of a function that are irrational numbers.

• Lemniscate

A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

• Magnitude of a vector

The magnitude of <a, b> is 2a2 + b2. The magnitude of <a, b, c> is 2a2 + b2 + c2

• Natural logarithmic function

The inverse of the exponential function y = ex, denoted by y = ln x.

• Remainder polynomial

See Division algorithm for polynomials.

• 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.

• Second-degree equation in two variables

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

• Standard form of a polar equation of a conic

r = ke 1 e cos ? or r = ke 1 e sin ? ,

• Synthetic division

A procedure used to divide a polynomial by a linear factor, x - a

• Unit vector

Vector of length 1.

• x-coordinate

The directed distance from the y-axis yz-plane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.

• Zero matrix

A matrix consisting entirely of zeros.