Module 13  Answers  
Lesson 1  
Answer 1  
13.1.1
The points on the graph of x^{3} + y^{3} – 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 y^{4} – y^{2} + x^{2} = 0 at is . 

Answer 6  
13.2.6 The points on y^{4} – y^{2} + x^{2} = 0 where the tangent is vertical are , , , .  
Self Test  
Answer 1  
The relation is shown in the following Viewing Cube:


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  
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