/*! 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. 44 In Problems 43 and 44, the param... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 44 (page 695)

In Problems 43 and 44, the parametric equations of four curves are given. Graph each of them, indicating the orientation.

C1:x=t,y=1-t2,-1鈮�t鈮�1C2:x=sint,y=cost,0鈮�t鈮�2蟺C3:x=cost,y=sint,0鈮�t鈮�2蟺C4:x=1-t2,y=t,-1鈮�t鈮�1

Short Answer

Expert verified

The graph of each figure is shown in respective figures.

Step by step solution

01

Step 1. Given Information

The given parametric equations are

C1:x=t,y=1-t2,-1鈮�t鈮�1C2:x=sint,y=cost,0鈮�t鈮�2蟺C3:x=cost,y=sint,0鈮�t鈮�2蟺C4:x=1-t2,y=t,-1鈮�t鈮�1

02

Step 2. Graph of C1

We have x=t,y=1-t2,-1鈮�t鈮�1

The coordinates are-1,0,0,1,1,0

Plot these points on the plane and join them to obtain the graph

03

Step 3. Graph of C2

We have x=sint,y=cost,0鈮�t鈮�2蟺

The coordinates are 0,1,1,0,0,-1,-1,0,0,1

Plot these points on the plane and join them to obtain the graph

04

Step 4. Graph of C3

We have x=cost,y=sint,0鈮�t鈮�2蟺

The coordinates are 1,0,0,1,-1,0,0,-1,1,0

Plot these points on the plane and join them to obtain the graph

05

Step 4. Graph of  C4

We have x=1-t2,y=t,-1鈮�t鈮�1

Plot these points on the plane and join them to obtain the graph

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

The graph of a parabola is given. Match each graph to its equation.

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.

Transform the equation r=6cos(胃)from polar coordinate to rectangular coordinate.

The distance dfrom P1=(2,-5)to P2=(4,-2)is d=________.

Find an equation for each ellipse. Graph the equation by hand.

Center at (1,2): focus at(1,4): contains the point(2,2)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Pure Maths

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.