Mathematics, 21.06.2021 22:30 trillralyn4060
Use a double integral to find the area of the following regions. The region bounded by all leaves of the rose r=2cos3θ
Answers: 3
.
![Area = 3\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\frac{r^{2}}{2}d\Theta \\\\ = \frac{3}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}4 cos^{2}\left ( 3\Theta \right ) d\Theta \\\\ = \frac{12}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}} \frac{cos(6\Theta +1)}{2}d\Theta\\\\ =\frac{6}{2}\left [ \frac{sin(6\Theta +\Theta )}{6} \right ]_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\\\\ =3\times \left [ \frac{\pi }{6}+\frac{\pi }{6} \right ]\\\\ =3\times \frac{2\pi }{6}\\\\ = \pi](/tpl/images/1380/7791/5b15e.png)
Another question on Mathematics
Mathematics, 21.06.2019 21:00
An airplane travels at an unknown elevation before it descends 3 miles to an elevation of 15 miles. find the elevation of the plane before its descen.
Answers: 1
Mathematics, 21.06.2019 21:10
For each sentence below, find the value of x that makes each sentence true. (515) 5 = 25* x= (813)2 = 4* x=
Answers: 2
Mathematics, 21.06.2019 22:30
Abag contains 10 white golf balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio of white to striped gold balls to remain the same. how many of each should he add?
Answers: 2
Mathematics, 21.06.2019 23:30
Aparking garage charges $1.12 for the first hour and 0.50 for each additional hour. what is the maximum length of time tom can park in the garage if we wishes to play no more than $5.62
Answers: 1
You know the right answer?
Use a double integral to find the area of the following regions. The region bounded by all leaves of...
Questions
History, 27.01.2021 20:30
History, 27.01.2021 20:30
Mathematics, 27.01.2021 20:30
Mathematics, 27.01.2021 20:30
Mathematics, 27.01.2021 20:30
Chemistry, 27.01.2021 20:30
Biology, 27.01.2021 20:30
Social Studies, 27.01.2021 20:30
