<p>pg 599 # 18</p>
<p>In the figure above, ABCD is a rectangle. Points A and C lie on the graph of y= px^3, where p is a constant. If the area of ABCD is 4, what is the value of p. </p>
<p>For those of you who don't have a book to reference. The points are as follow-</p>
<p>A (-1/2, -2)
B (-1/2, 2)
C (1/2,2)
D (1/2,-2)</p>
<p>Thanks!</p>
<p>looking at the x-coordinates of the points, you can tell that the base of the rectangle ABCD is length 1</p>
<p>we are told the area of ABCD is 4</p>
<p>therefore the height is 4, and extends 2 in the positive y direction and 2 in the negative y direction</p>
<p>so c in point C = 2</p>
<p>we are told y = px^3 and C is on it
therefore
2=p(1/2)^3
2=p(1/8)
p=16</p>