CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
6th Edition
ISBN: 9781418300227
Author: Finney
Publisher: SAVVAS L
Question
Book Icon
Chapter 0.6, Problem 26E
To determine

To show: the given function is one-to-one, and to graph its inverse.

Expert Solution & Answer
Check Mark

Answer to Problem 26E

The given function is one-to-one. The graph of its inverse is,

  CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS, Chapter 0.6, Problem 26E , additional homework tip  1

Explanation of Solution

Given:

  y=tanx,π2<x<π2 .

Calculation:

The graph of the restricted tangent function using the parametric equations x1=t,y1=tant,π2<t<π2 is,

  CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS, Chapter 0.6, Problem 26E , additional homework tip  2

This restricted tangent function is one-to-one because it does not repeat any output values.

So it has an inverse.

Now the graph of inverse is obtained by interchanging the ordered pairs using the parametric equations x2=tant,y2=t,π2<t<π2 . That is,

  CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS, Chapter 0.6, Problem 26E , additional homework tip  3

Chapter 0 Solutions

CALCULUS:GRAPHICAL,...,AP ED.-W/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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