Module 13 - Answers
 
Lesson 1
 
 Answer 1
 
13.1.1  

The points on the graph of x3 + y3 – 9xy = 0 when x = 4 are (4, 2), , and .

 
Lesson 2
 
 Answer 1
 
13.2.1

The slope of the tangent line to the folium at (4, 2) is

 
 Answer 2
 
13.2.2 The figure below shows that dy/dx = 0 at

 
 Answer 3
 
13.2.3 The points of the folium that satisfy the system are and (0, 0).
 
 Answer 4
 
13.2.4

 
 Answer 5
 
13.2.5

 

The slope of y4 – y2 + x2 = 0 at is .

 
 Answer 6
 
13.2.6 The points on y4 – y2 + x2 = 0 where the tangent is vertical are , , , .
 
Self Test
 
 Answer 1
 

The relation is shown in the following Viewing Cube:

eye = –90 xmin = –6 ymin = –6 zmin = –10
eye = 0 xmax = 6 ymax = 6 zmax = 10
eye = 0 xgrid = 14 ygrid = 14 ncontour = 5

 
 Answer 2
 
 
 Answer 3
 

The slope of the tangent at the point (1, 2) is

 
 Answer 4
 
The point where the tangent line is horizontal is
 
 Answer 5
 
The point where the tangent line is vertical is
 
 
  ©Copyright 2007 All rights reserved. | Trademarks | Privacy Policy | Link Policy