(a) What is the area that is enclosed by one petal of the roser = a cos n if n is an
Chapter 10, Problem 56(choose chapter or problem)
(a) What is the area that is enclosed by one petal of the rose \(r=a \operatorname{cosn} \theta\) if n is an even integer?
(b) What is the area that is enclosed by one petal of the rose \(r=a \operatorname{cosn} \theta\) if n is an odd integer?
(c) Use a CAS to show that the total area enclosed by the rose \(r=a \operatorname{cosn} \theta\) is \(\pi a^{2} / 2\) if the number of petals is even. [Hint: See Exercise 78 of Section 10.2.]
(d) Use a CAS to show that the total area enclosed by the rose \(r=a \operatorname{cosn} \theta\) is \(\pi a^{2} / 2\) if the number of petals is odd.
Equation Transcription:
Text Transcription:
r=acosn theta
pi a^2 /2
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