CALCULUS-W/XL ACCESS
CALCULUS-W/XL ACCESS
6th Edition
ISBN: 9781418300197
Author: Finney
Publisher: PEARSON
Question
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Chapter 0.4, Problem 10E

a.

To determine

To graph: the curve and find the initial and terminal points. Also, indicate the direction in which the curve is traced.

a.

Expert Solution
Check Mark

Answer to Problem 10E

  CALCULUS-W/XL ACCESS                   , Chapter 0.4, Problem 10E , additional homework tip  1

Initial point 1,0 and terminal point also 1,0 .

Explanation of Solution

Given information:

The parametric equations:

  x=sin2πt,y=cos2πt,    0t1

Use the graphing calculator to graph the given curve.

First step is to set the mode to parametric.

For that press the MODE key.

Then Scroll down to FUNC.

Then move it to right till PAR

Press ENTER key.

  CALCULUS-W/XL ACCESS                   , Chapter 0.4, Problem 10E , additional homework tip  2

Now, go back to main window by quitting (to do that press CALCULUS-W/XL ACCESS                   , Chapter 0.4, Problem 10E , additional homework tip  3 and then CALCULUS-W/XL ACCESS                   , Chapter 0.4, Problem 10E , additional homework tip  4).

Now, press the key CALCULUS-W/XL ACCESS                   , Chapter 0.4, Problem 10E , additional homework tip  5

Now enter the given parametric equations as shown below:

  CALCULUS-W/XL ACCESS                   , Chapter 0.4, Problem 10E , additional homework tip  6

Press the WINDOW key.

Enter values (Tmin = 0, Tmax = 1 )

  CALCULUS-W/XL ACCESS                   , Chapter 0.4, Problem 10E , additional homework tip  7

Press GRAPH (here observe the direction in which the graph is being traced.)

  CALCULUS-W/XL ACCESS                   , Chapter 0.4, Problem 10E , additional homework tip  8

This is the required graph and the red arrow gives the direction in which it is traced.

From the graph, it can be clearly observed that the graph starts at 1,0 and also terminates at 1,0 .

b.

To determine

To find: Cartesian equation for the curve that contains the parameterized curve. Also explain what portion of the Cartesian equation is traced by the parameterized curve.

b.

Expert Solution
Check Mark

Answer to Problem 10E

  x2+y2=1

Whole of the graph of the Cartesian equation is traced by the parameterized curve.

Explanation of Solution

Given information:

The parametric equations:

  x=sin2πt,y=cos2πt,    0t1

Formula Used:

  sin2x+cos2x=1

Squaring x=sin2πt and y=cos2πt ,

  x2=sin22πt

  y2=cos22πt

Substitute these values in the identity sin2x+cos2x=1,

  sin22πt+cos22πt=1x2+y2=1

Thus, the required Cartesian equation is x2+y2=1 .

The Cartesian equation x2+y2=1 represents a circle of radius 1 and from the graph in part (a), it is clear that whole of the graph of the Cartesian equation is traced by the parameterized curve.

Chapter 0 Solutions

CALCULUS-W/XL ACCESS

Ch. 0.1 - Prob. 1ECh. 0.1 - Prob. 2ECh. 0.1 - Prob. 3ECh. 0.1 - Prob. 4ECh. 0.1 - Prob. 5ECh. 0.1 - Prob. 6ECh. 0.1 - Prob. 7ECh. 0.1 - Prob. 8ECh. 0.1 - Prob. 9ECh. 0.1 - Prob. 10ECh. 0.1 - Prob. 11ECh. 0.1 - Prob. 12ECh. 0.1 - Prob. 13ECh. 0.1 - Prob. 14ECh. 0.1 - Prob. 15ECh. 0.1 - Prob. 16ECh. 0.1 - Prob. 17ECh. 0.1 - Prob. 18ECh. 0.1 - Prob. 19ECh. 0.1 - Prob. 20ECh. 0.1 - Prob. 21ECh. 0.1 - Prob. 22ECh. 0.1 - Prob. 23ECh. 0.1 - Prob. 24ECh. 0.1 - Prob. 25ECh. 0.1 - Prob. 26ECh. 0.1 - Prob. 27ECh. 0.1 - Prob. 28ECh. 0.1 - Prob. 29ECh. 0.1 - Prob. 30ECh. 0.1 - Prob. 31ECh. 0.1 - Prob. 32ECh. 0.1 - Prob. 33ECh. 0.1 - Prob. 34ECh. 0.1 - Prob. 35ECh. 0.1 - Prob. 36ECh. 0.1 - Prob. 37ECh. 0.1 - Prob. 38ECh. 0.1 - Prob. 39ECh. 0.1 - Prob. 40ECh. 0.1 - Prob. 41ECh. 0.1 - Prob. 42ECh. 0.1 - Prob. 43ECh. 0.1 - Prob. 44ECh. 0.1 - Prob. 45ECh. 0.1 - Prob. 46ECh. 0.1 - Prob. 47ECh. 0.1 - Prob. 48ECh. 0.1 - Prob. 49ECh. 0.1 - Prob. 50ECh. 0.1 - Prob. 51ECh. 0.1 - Prob. 52ECh. 0.1 - Prob. 53ECh. 0.1 - Prob. 54ECh. 0.1 - Prob. 55ECh. 0.1 - Prob. 56ECh. 0.1 - Prob. 57ECh. 0.1 - Prob. 58ECh. 0.2 - Prob. 1QRCh. 0.2 - Prob. 2QRCh. 0.2 - Prob. 3QRCh. 0.2 - Prob. 4QRCh. 0.2 - Prob. 5QRCh. 0.2 - Prob. 6QRCh. 0.2 - Prob. 7QRCh. 0.2 - Prob. 8QRCh. 0.2 - Prob. 9QRCh. 0.2 - Prob. 10QRCh. 0.2 - Prob. 11QRCh. 0.2 - Prob. 12QRCh. 0.2 - Prob. 1ECh. 0.2 - Prob. 2ECh. 0.2 - Prob. 3ECh. 0.2 - Prob. 4ECh. 0.2 - Prob. 5ECh. 0.2 - Prob. 6ECh. 0.2 - Prob. 7ECh. 0.2 - Prob. 8ECh. 0.2 - Prob. 9ECh. 0.2 - Prob. 10ECh. 0.2 - Prob. 11ECh. 0.2 - Prob. 12ECh. 0.2 - Prob. 13ECh. 0.2 - Prob. 14ECh. 0.2 - Prob. 15ECh. 0.2 - Prob. 16ECh. 0.2 - Prob. 17ECh. 0.2 - Prob. 18ECh. 0.2 - Prob. 19ECh. 0.2 - Prob. 20ECh. 0.2 - Prob. 21ECh. 0.2 - Prob. 22ECh. 0.2 - Prob. 23ECh. 0.2 - Prob. 24ECh. 0.2 - Prob. 25ECh. 0.2 - Prob. 26ECh. 0.2 - Prob. 27ECh. 0.2 - Prob. 28ECh. 0.2 - Prob. 29ECh. 0.2 - Prob. 30ECh. 0.2 - Prob. 31ECh. 0.2 - Prob. 32ECh. 0.2 - Prob. 33ECh. 0.2 - Prob. 34ECh. 0.2 - Prob. 35ECh. 0.2 - Prob. 36ECh. 0.2 - Prob. 37ECh. 0.2 - Prob. 38ECh. 0.2 - Prob. 39ECh. 0.2 - Prob. 40ECh. 0.2 - Prob. 41ECh. 0.2 - Prob. 42ECh. 0.2 - Prob. 43ECh. 0.2 - Prob. 44ECh. 0.2 - Prob. 45ECh. 0.2 - Prob. 46ECh. 0.2 - Prob. 47ECh. 0.2 - Prob. 48ECh. 0.2 - Prob. 49ECh. 0.2 - Prob. 50ECh. 0.2 - Prob. 51ECh. 0.2 - Prob. 52ECh. 0.2 - Prob. 53ECh. 0.2 - Prob. 54ECh. 0.2 - Prob. 55ECh. 0.2 - Prob. 56ECh. 0.2 - Prob. 57ECh. 0.2 - Prob. 58ECh. 0.2 - Prob. 59ECh. 0.2 - Prob. 60ECh. 0.2 - Prob. 61ECh. 0.2 - Prob. 62ECh. 0.2 - Prob. 63ECh. 0.2 - Prob. 64ECh. 0.2 - Prob. 65ECh. 0.2 - Prob. 66ECh. 0.2 - Prob. 67ECh. 0.2 - Prob. 68ECh. 0.2 - Prob. 69ECh. 0.2 - Prob. 70ECh. 0.2 - Prob. 71ECh. 0.2 - Prob. 72ECh. 0.3 - Prob. 1QRCh. 0.3 - Prob. 2QRCh. 0.3 - Prob. 3QRCh. 0.3 - Prob. 4QRCh. 0.3 - Prob. 5QRCh. 0.3 - Prob. 6QRCh. 0.3 - Prob. 7QRCh. 0.3 - Prob. 8QRCh. 0.3 - Prob. 9QRCh. 0.3 - Prob. 10QRCh. 0.3 - Prob. 1ECh. 0.3 - Prob. 2ECh. 0.3 - Prob. 3ECh. 0.3 - Prob. 4ECh. 0.3 - Prob. 5ECh. 0.3 - Prob. 6ECh. 0.3 - Prob. 7ECh. 0.3 - Prob. 8ECh. 0.3 - Prob. 9ECh. 0.3 - Prob. 10ECh. 0.3 - Prob. 11ECh. 0.3 - Prob. 12ECh. 0.3 - Prob. 13ECh. 0.3 - Prob. 14ECh. 0.3 - Prob. 15ECh. 0.3 - Prob. 16ECh. 0.3 - Prob. 17ECh. 0.3 - Prob. 18ECh. 0.3 - Prob. 19ECh. 0.3 - Prob. 20ECh. 0.3 - Prob. 21ECh. 0.3 - Prob. 22ECh. 0.3 - Prob. 23ECh. 0.3 - Prob. 24ECh. 0.3 - Prob. 25ECh. 0.3 - Prob. 26ECh. 0.3 - Prob. 27ECh. 0.3 - Prob. 28ECh. 0.3 - Prob. 29ECh. 0.3 - Prob. 30ECh. 0.3 - Prob. 31ECh. 0.3 - Prob. 32ECh. 0.3 - Prob. 33ECh. 0.3 - Prob. 34ECh. 0.3 - Prob. 35ECh. 0.3 - Prob. 36ECh. 0.3 - Prob. 37ECh. 0.3 - Prob. 38ECh. 0.3 - Prob. 39ECh. 0.3 - Prob. 40ECh. 0.3 - Prob. 41ECh. 0.3 - Prob. 42ECh. 0.3 - Prob. 43ECh. 0.3 - Prob. 44ECh. 0.3 - Prob. 45ECh. 0.3 - Prob. 46ECh. 0.3 - Prob. 47ECh. 0.3 - Prob. 48ECh. 0.3 - Prob. 49ECh. 0.3 - Prob. 1QQCh. 0.3 - Prob. 2QQCh. 0.3 - Prob. 3QQCh. 0.3 - Prob. 4QQCh. 0.4 - Prob. 1QRCh. 0.4 - Prob. 2QRCh. 0.4 - Prob. 3QRCh. 0.4 - Prob. 4QRCh. 0.4 - Prob. 5QRCh. 0.4 - Prob. 6QRCh. 0.4 - Prob. 7QRCh. 0.4 - Prob. 8QRCh. 0.4 - Prob. 9QRCh. 0.4 - Prob. 10QRCh. 0.4 - Prob. 1ECh. 0.4 - Prob. 2ECh. 0.4 - Prob. 3ECh. 0.4 - Prob. 4ECh. 0.4 - Prob. 5ECh. 0.4 - Prob. 6ECh. 0.4 - Prob. 7ECh. 0.4 - Prob. 8ECh. 0.4 - Prob. 9ECh. 0.4 - Prob. 10ECh. 0.4 - Prob. 11ECh. 0.4 - Prob. 12ECh. 0.4 - Prob. 13ECh. 0.4 - Prob. 14ECh. 0.4 - Prob. 15ECh. 0.4 - Prob. 16ECh. 0.4 - Prob. 17ECh. 0.4 - Prob. 18ECh. 0.4 - Prob. 19ECh. 0.4 - Prob. 20ECh. 0.4 - Prob. 21ECh. 0.4 - Prob. 22ECh. 0.4 - Prob. 23ECh. 0.4 - Prob. 24ECh. 0.4 - Prob. 25ECh. 0.4 - Prob. 26ECh. 0.4 - Prob. 27ECh. 0.4 - Prob. 28ECh. 0.4 - Prob. 29ECh. 0.4 - Prob. 30ECh. 0.4 - Prob. 31ECh. 0.4 - Prob. 32ECh. 0.4 - Prob. 33ECh. 0.4 - Prob. 34ECh. 0.4 - Prob. 35ECh. 0.4 - Prob. 36ECh. 0.4 - Prob. 37ECh. 0.4 - Prob. 38ECh. 0.4 - Prob. 39ECh. 0.4 - Prob. 40ECh. 0.4 - Prob. 41ECh. 0.4 - Prob. 42ECh. 0.4 - Prob. 43ECh. 0.4 - Prob. 44ECh. 0.4 - Prob. 45ECh. 0.4 - Prob. 46ECh. 0.4 - Prob. 47ECh. 0.4 - Prob. 48ECh. 0.5 - Prob. 1QRCh. 0.5 - Prob. 2QRCh. 0.5 - Prob. 3QRCh. 0.5 - Prob. 4QRCh. 0.5 - Prob. 5QRCh. 0.5 - Prob. 6QRCh. 0.5 - Prob. 7QRCh. 0.5 - Prob. 8QRCh. 0.5 - Prob. 9QRCh. 0.5 - Prob. 10QRCh. 0.5 - Prob. 1ECh. 0.5 - Prob. 2ECh. 0.5 - Prob. 3ECh. 0.5 - Prob. 4ECh. 0.5 - Prob. 5ECh. 0.5 - Prob. 6ECh. 0.5 - Prob. 7ECh. 0.5 - Prob. 8ECh. 0.5 - Prob. 9ECh. 0.5 - Prob. 10ECh. 0.5 - Prob. 11ECh. 0.5 - Prob. 12ECh. 0.5 - Prob. 13ECh. 0.5 - Prob. 14ECh. 0.5 - Prob. 15ECh. 0.5 - Prob. 16ECh. 0.5 - Prob. 17ECh. 0.5 - Prob. 18ECh. 0.5 - Prob. 19ECh. 0.5 - Prob. 20ECh. 0.5 - Prob. 21ECh. 0.5 - Prob. 22ECh. 0.5 - Prob. 23ECh. 0.5 - Prob. 24ECh. 0.5 - Prob. 25ECh. 0.5 - Prob. 26ECh. 0.5 - Prob. 27ECh. 0.5 - Prob. 28ECh. 0.5 - Prob. 29ECh. 0.5 - Prob. 30ECh. 0.5 - Prob. 31ECh. 0.5 - Prob. 32ECh. 0.5 - Prob. 33ECh. 0.5 - Prob. 34ECh. 0.5 - Prob. 35ECh. 0.5 - Prob. 36ECh. 0.5 - Prob. 37ECh. 0.5 - Prob. 38ECh. 0.5 - Prob. 39ECh. 0.5 - Prob. 40ECh. 0.5 - Prob. 41ECh. 0.5 - Prob. 42ECh. 0.5 - Prob. 43ECh. 0.5 - Prob. 44ECh. 0.5 - Prob. 45ECh. 0.5 - Prob. 46ECh. 0.5 - Prob. 47ECh. 0.5 - Prob. 48ECh. 0.5 - Prob. 49ECh. 0.5 - Prob. 50ECh. 0.5 - Prob. 51ECh. 0.5 - Prob. 52ECh. 0.5 - Prob. 53ECh. 0.5 - Prob. 54ECh. 0.5 - Prob. 55ECh. 0.5 - Prob. 56ECh. 0.5 - Prob. 57ECh. 0.5 - Prob. 58ECh. 0.5 - Prob. 59ECh. 0.5 - Prob. 60ECh. 0.5 - Prob. 61ECh. 0.5 - Prob. 62ECh. 0.6 - Prob. 1QRCh. 0.6 - Prob. 2QRCh. 0.6 - Prob. 3QRCh. 0.6 - Prob. 4QRCh. 0.6 - Prob. 5QRCh. 0.6 - Prob. 6QRCh. 0.6 - Prob. 7QRCh. 0.6 - Prob. 8QRCh. 0.6 - Prob. 9QRCh. 0.6 - Prob. 10QRCh. 0.6 - Prob. 1ECh. 0.6 - Prob. 2ECh. 0.6 - Prob. 3ECh. 0.6 - Prob. 4ECh. 0.6 - Prob. 5ECh. 0.6 - Prob. 6ECh. 0.6 - Prob. 7ECh. 0.6 - Prob. 8ECh. 0.6 - Prob. 9ECh. 0.6 - Prob. 10ECh. 0.6 - Prob. 11ECh. 0.6 - Prob. 12ECh. 0.6 - Prob. 13ECh. 0.6 - Prob. 14ECh. 0.6 - Prob. 15ECh. 0.6 - Prob. 16ECh. 0.6 - Prob. 17ECh. 0.6 - Prob. 18ECh. 0.6 - Prob. 19ECh. 0.6 - Prob. 20ECh. 0.6 - Prob. 21ECh. 0.6 - Prob. 22ECh. 0.6 - Prob. 23ECh. 0.6 - Prob. 24ECh. 0.6 - Prob. 25ECh. 0.6 - Prob. 26ECh. 0.6 - Prob. 27ECh. 0.6 - Prob. 28ECh. 0.6 - Prob. 29ECh. 0.6 - Prob. 30ECh. 0.6 - Prob. 31ECh. 0.6 - Prob. 32ECh. 0.6 - Prob. 33ECh. 0.6 - Prob. 34ECh. 0.6 - Prob. 35ECh. 0.6 - Prob. 36ECh. 0.6 - Prob. 37ECh. 0.6 - Prob. 38ECh. 0.6 - Prob. 39ECh. 0.6 - Prob. 40ECh. 0.6 - Prob. 41ECh. 0.6 - Prob. 42ECh. 0.6 - Prob. 43ECh. 0.6 - Prob. 44ECh. 0.6 - Prob. 45ECh. 0.6 - Prob. 46ECh. 0.6 - Prob. 47ECh. 0.6 - Prob. 48ECh. 0.6 - Prob. 49ECh. 0.6 - Prob. 50ECh. 0.6 - Prob. 51ECh. 0.6 - Prob. 52ECh. 0.6 - Prob. 53ECh. 0.6 - Prob. 54ECh. 0.6 - Prob. 55ECh. 0.6 - Prob. 56ECh. 0.6 - Prob. 57ECh. 0.6 - Prob. 58ECh. 0.6 - Prob. 59ECh. 0.6 - Prob. 60ECh. 0.6 - Prob. 61ECh. 0.6 - Prob. 62ECh. 0.6 - Prob. 1QQCh. 0.6 - Prob. 2QQCh. 0.6 - Prob. 3QQCh. 0.6 - Prob. 4QQCh. 0 - Prob. 1RWDTCh. 0 - Prob. 2RWDTCh. 0 - Prob. 3RWDTCh. 0 - Prob. 4RWDTCh. 0 - Prob. 5RWDTCh. 0 - Prob. 6RWDTCh. 0 - Prob. 7RWDTCh. 0 - Prob. 8RWDTCh. 0 - Prob. 9RWDTCh. 0 - Prob. 10RWDTCh. 0 - Prob. 1RECh. 0 - Prob. 2RECh. 0 - Prob. 3RECh. 0 - Prob. 4RECh. 0 - Prob. 5RECh. 0 - Prob. 6RECh. 0 - Prob. 7RECh. 0 - Prob. 8RECh. 0 - Prob. 9RECh. 0 - Prob. 10RECh. 0 - Prob. 11RECh. 0 - Prob. 12RECh. 0 - Prob. 13RECh. 0 - Prob. 14RECh. 0 - Prob. 15RECh. 0 - Prob. 16RECh. 0 - Prob. 17RECh. 0 - Prob. 18RECh. 0 - Prob. 19RECh. 0 - Prob. 20RECh. 0 - Prob. 21RECh. 0 - Prob. 22RECh. 0 - Prob. 23RECh. 0 - Prob. 24RECh. 0 - Prob. 25RECh. 0 - Prob. 26RECh. 0 - Prob. 27RECh. 0 - Prob. 28RECh. 0 - Prob. 29RECh. 0 - Prob. 30RECh. 0 - Prob. 31RECh. 0 - Prob. 32RECh. 0 - Prob. 33RECh. 0 - Prob. 34RECh. 0 - Prob. 35RECh. 0 - Prob. 36RECh. 0 - Prob. 37RECh. 0 - Prob. 38RECh. 0 - Prob. 39RECh. 0 - Prob. 40RECh. 0 - Prob. 41RECh. 0 - Prob. 42RECh. 0 - Prob. 43RECh. 0 - Prob. 44RECh. 0 - Prob. 45RECh. 0 - Prob. 46RECh. 0 - Prob. 47RECh. 0 - Prob. 48RECh. 0 - Prob. 49RECh. 0 - Prob. 50RECh. 0 - Prob. 51RECh. 0 - Prob. 52RECh. 0 - Prob. 53RECh. 0 - Prob. 54RECh. 0 - Prob. 55RECh. 0 - Prob. 56RECh. 0 - Prob. 57RECh. 0 - Prob. 58RECh. 0 - Prob. 59RECh. 0 - Prob. 60RECh. 0 - Prob. 61RECh. 0 - Prob. 62RECh. 0 - Prob. 63RECh. 0 - Prob. 64RECh. 0 - Prob. 65RECh. 0 - Prob. 66RECh. 0 - Prob. 67RECh. 0 - Prob. 68EPCh. 0 - Prob. 69EPCh. 0 - Prob. 70EP
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