Solutions for Chapter 9: PARAMETRIC EQUATIONS AND POLAR COORDINATES Full solutions for Essential Calculus (Available Titles CengageNOW) | 1st Edition

ISBN: 9780495014423 Solutions for Chapter 9: PARAMETRIC EQUATIONS AND POLAR COORDINATES

Solutions for Chapter 9
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ISBN: 9780495014423

Chapter 9: PARAMETRIC EQUATIONS AND POLAR COORDINATES includes 263 full step-by-step solutions. Essential Calculus (Available Titles CengageNOW) was written by Patricia and is associated to the ISBN: 9780495014423. This expansive textbook survival guide covers the following chapters and their solutions. Since 263 problems in chapter 9: PARAMETRIC EQUATIONS AND POLAR COORDINATES have been answered, more than 7561 students have viewed full step-by-step solutions from this chapter. This textbook survival guide was created for the textbook: Essential Calculus (Available Titles CengageNOW), edition: 1.

Key Calculus Terms and definitions covered in this textbook
• Amplitude

See Sinusoid.

• Arctangent function

See Inverse tangent function.

• Base

See Exponential function, Logarithmic function, nth power of a.

• De Moivre’s theorem

(r(cos ? + i sin ?))n = r n (cos n? + i sin n?)

• Discriminant

For the equation ax 2 + bx + c, the expression b2 - 4ac; for the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, the expression B2 - 4AC

• Equation

A statement of equality between two expressions.

• Graph of an inequality in x and y

The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

• Inverse cotangent function

The function y = cot-1 x

• Inverse of a matrix

The inverse of a square matrix A, if it exists, is a matrix B, such that AB = BA = I , where I is an identity matrix.

• Irrational zeros

Zeros of a function that are irrational numbers.

• Logistic growth function

A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + ae-kx, where a, b, c, and k are positive with b < 1. c is the limit to growth

• Measure of center

A measure of the typical, middle, or average value for a data set

• One-to-one function

A function in which each element of the range corresponds to exactly one element in the domain

• 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).

• Quotient identities

tan ?= sin ?cos ?and cot ?= cos ? sin ?

• Quotient of functions

a ƒ g b(x) = ƒ(x) g(x) , g(x) ? 0

• Randomization

The principle of experimental design that makes it possible to use the laws of probability when making inferences.

• Rectangular coordinate system

See Cartesian coordinate system.

• Standard representation of a vector

A representative arrow with its initial point at the origin

• Transpose of a matrix

The matrix AT obtained by interchanging the rows and columns of A.

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