/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 9 Graph the curve whose parametric... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 9 (page 694)

Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation of each curve. Verify your graph using a graphing utility

x=t+2,y=1t;t鈮�0

Short Answer

Expert verified

Rectangular equation of the given curve is

orientation and the graph are plotted in the solution

Step by step solution

01

Step. 1 Description

Given parametric equation

x=t+2,y=1t;t鈮�0

To find

a. Rectangular equation of the curve

b. Graph the curve, show its orientation and varify it by graphing utility

02

Step. 2 Simplification

x=t+2t=x-2eqn1y=tputthevalueoftfromequation1y=x-2;{x-2鈮�0}

This is the rectangular form of the given curve

03

Step. 3 Simplification

Graph of the given parametric equation is plotted as

04

Step. 4 Simplification

The graph of the rectangular equation is plotted as

Both the equations represent the same graph and orientation. Hence it is varified.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Semi elliptical Arch Bridge An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 20meters wide. The center of the arch is 6meters above the center of the river. See the figure. Write an equation for the ellipse in which the x-axis coincides with the water level and the y-axis passes through the center of the arch.

Answer Problems using the figure.

The coordinates of the vertex are_______ .

Graph each function.

f(x)=9-9x2.

Find the equation of the parabola described. Find the two points that define the latus rectum, and graph the equation by hand.

Vertex at 0,0, axis of symmetry is the x-axis; containing the point2,3.

In Problems 43鈥�52, identify the graph of each equation without applying a rotation of axes.

3x2+2xy+y2+4x-2y+10=0
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.