Answer: Three vertices of a parallelogram are Find the three possible fourth vertices
Chapter 10, Problem 87(choose chapter or problem)
Areas of Simple Closed Curves In Exercises 87–92, use a computer algebra system and the result of Exercise 83 to match the closed curve with its area. (These exercises were based on “The Surveyor’s Area Formula,” by Bart Braden, College Mathematics Journal, September 1986, pp. 335–337, by permission of the author.)
(a) \(\frac{8}{3}ab\) (b) \(\frac{3}{8}\pi a^2\) (c) \(2\pi a^2\)
(d) \(\pi ab\) (e) \(2\pi ab\) (f) \(6\pi a^2\)
Ellipse: \((0\ \leq\ t\ \leq\ 2\pi)\)
x = b cos t
y = a sin t
Text Transcription:
8/3 ab
3/8 pi a^2
2pi a^2
pi ab
2pi ab
6pi a^2
(0 leq t leq 2pi)
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