Module 25 - Answers |
Lesson 1 |
Answer 1 |
25.1.1 They are and where n is any integer. |
Answer 2 |
25.1.2
The rectangular coordinates for the polar point (2, /3) are . |
Lesson 2 |
Answer 1 |
25.2.1
This is a three-leafed rose. The entire graph is plotted for , so in the Window Editor could be set to to draw the entire graph. |
Answer 2 |
25.2.2
r = 3 sin(4 )
r = 3 sin(5 )
r = 3 sin(6 )
r = 3 sin(7 ) When n is even there are 2n leaves and the entire graph is plotted for . When n is odd there are n leaves and the entire graph is plotted for . |
Answer 3 |
25.2.3
The graph has six overlapping leaves. |
Lesson 3 |
Answer 1 |
25.3.1 The area enclosed by the semicircle r = 2 on the interval is 2 square units. |
Answer 2 |
25.3.2 The points of intersection of the two curves are at = and = . The area inside the circle and outside the cardioid is |
Self Test |
Answer 1 |
Answer 2 |
Answer 3 |
[0,2 ] x [8,8] x [4,4] |
Answer 4 |
y 0.892x 0.009 |
Answer 5 |
The arc length 21.01 units. |
Answer 6 |
The area of one leaf is square units. |
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