3. Given r = 4 sin 20. a. Since the equation is of the form r = asin n0, the graph is a rose. How many petals does the rose have? b. What is the length of each petal? c. At what values of 0 do the endpoints of each petal occur? Since the value of n is even, give values of 0 on the interval [0, 2n).
3. Given r = 4 sin 20. a. Since the equation is of the form r = asin n0, the graph is a rose. How many petals does the rose have? b. What is the length of each petal? c. At what values of 0 do the endpoints of each petal occur? Since the value of n is even, give values of 0 on the interval [0, 2n).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Given r = 4 sin 20.
a. Since the equation is of the form r = a sin no, the graph is a rose. How many petals does the
rose have?
b. What is the length of each petal?
c. At what values of 0 do the endpoints of each petal occur? Since the value of n is even, give
values of 0 on the interval [0, 2n).
d. Use the values of 0 from part c. to determine the corresponding values of r. List the
coordinates in the form (r, 0).
e. Given that the graph passes through the pole at 0 = 0,-, , 2n, sketch the graph of
r = 4 sin 20
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