Mathematics, 19.03.2020 17:55 Kykebailey2356
Use a double integral in polar coordinates to find the area of the region bounded on the inside by the circle of radius 5 and on the outside by the cardioid r=5(1+cos(θ))
Answers: 1
![I=\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\int_5^{5(1+\cos \theta)} r\, dr\, d\theta\\\\I=\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left[ \frac{r^2}{2}\right]_5^{5(1+\cos \theta)} \, d\theta\\\\I=\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\frac{25\cos \theta(\cos \theta +2)}{2}\, d\theta\\\\I=\frac{25}{2}\left[\frac{\sin 2\theta}{4}+\frac{\theta}{2}+2{\sin \theta}\right]_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\\\\I=\frac{25}{2}\left(\frac{\pi}{2}+4\right)\\](/tpl/images/0554/2902/b831f.png)
Another question on Mathematics
Mathematics, 21.06.2019 17:00
Bugs bunny was 33 meters below ground, digging his way toward pismo beach, when he realized he wanted to be above ground. he turned and dug through the dirt diagonally for 80 meters until he was above ground
Answers: 3
Mathematics, 21.06.2019 18:30
Atriangle with all sides of equal length is a/an triangle. a. right b. scalene c. equilateral d. isosceles
Answers: 2
Mathematics, 21.06.2019 21:00
Ftara spends $219 a month for her car payment and she makes $3,200 a month, what percent of her monthly income is spent on her car payment?
Answers: 2
Mathematics, 21.06.2019 21:00
What is the value of m in the equation 1/2 m - 3/4n=16 when n=8
Answers: 1
You know the right answer?
Use a double integral in polar coordinates to find the area of the region bounded on the inside by t...
Questions
Social Studies, 30.05.2020 09:57
Social Studies, 30.05.2020 09:57
Mathematics, 30.05.2020 09:57
History, 30.05.2020 09:57
Social Studies, 30.05.2020 09:57
Mathematics, 30.05.2020 09:57
Mathematics, 30.05.2020 09:57
Chemistry, 30.05.2020 09:57
Mathematics, 30.05.2020 09:57
Health, 30.05.2020 09:57
Mathematics, 30.05.2020 09:57
Mathematics, 30.05.2020 09:57
Mathematics, 30.05.2020 09:57
English, 30.05.2020 09:57
