Q. 2 Let x=f(t)聽and 聽y=g(t), where ... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 10: Q. 2 (page 694)

Let $x = f (t)$ and $y = g (t)$ , where $f$ and $g$ are two functions whose common domain is some interval I. The collection of points defined by $(x, y) = (f (t), g (t))$ is called a(n) _. The variable $t$ is called an .

Short Answer

Expert verified

Let $x = f (t)$ and $y = g (t)$ , where $f$ and $g$ are two functions whose common domain in some interval I. The collection of points defined by role="math" localid="1647276055558" $(x, y) = (f (t), g (t))$ is called a plane curve. The variable $t$ is called a parameter.

Step by step solution

Step 1. Given information.

We have:

Let $x = f (t)$ and $y = g (t)$ , where $f$ and $g$ are two functions whose common domain in some interval I. The collection of points defined by $(x, y) = (f (t), g (t))$ is called a ______. The variable $t$ is called a ______.

Step 2. Fill the blank.

Definition of parametric equation:

Let $x = f (t)$ and $y = g (t)$ , where $f$ and $g$ are two functions whose common domain in some interval I. The collection of points defined by

$(x, y) = (f (t), g (t))$

is called a plane curve. The equations

$x = f (t) y = g (t)$

where $t$ is in $I$ , are called parametric equations of the curve. The variable $t$ is called a parameter.

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91影视

Let $x = f (t)$ and $y = g (t)$ , where $f$ and $g$ are two functions whose common domain is some interval I. The collection of points defined by $(x, y) = (f (t), g (t))$ is called a(n) _. The variable $t$ is called an .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Fill the blank.

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91影视

Let x=f(t)and y=g(t), where fand g are two functions whose common domain is some interval I. The collection of points defined by (x,y)=(f(t),g(t))is called a(n) _______. The variablet is called an ______.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Fill the blank.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Applied Mathematics

Mechanics Maths

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Let $x = f (t)$ and $y = g (t)$ , where $f$ and $g$ are two functions whose common domain is some interval I. The collection of points defined by $(x, y) = (f (t), g (t))$ is called a(n) _. The variable $t$ is called an .