The area of an ellipse is equal to A = ab (see figure). For the ellipse below,
Question:
(a) Show that
A = a(20 a).
(b) Complete the table.
(c) Find two values of a such that A = 300.
(d) Use a graphing utility to graph the area equation.
(e) Find the a-intercepts of the graph of the area equation.
What do these values represent?
(f) What is the maximum area? What values of a and b yield the maximum area?
Transcribed Image Text:
a 4 10 | 13 16 a
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a A ab a b 20 a b 20 a thus A a20 a b a 4 7 10 13 16 A 64 ...View the full answer
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