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)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 19:00, emmagossett2002
Aflower has 26 chromosomes. to create a new flower, how many chromosomes would a sperm cell have? what is this process called? part 2: within a flower cell that has 26 chromosomes, how many chromosomes would a cell that is created within the stem of a flower as it grows, have? what is this process called?
Answers: 1
Mathematics, 22.06.2019 04:00, misstaejailicious200
Create a varationof radical symbol y=a a (x-h)+k function graph the parent function with all 4 varations question: how did each variable change affect the graph? use (desmos) graphing to graph the it
Answers: 2
Do you know the correct answer?
Use a double integral in polar coordinates to find the area of the region bounded on the inside by t...
Questions in other subjects:
Mathematics, 22.05.2020 11:58
Mathematics, 22.05.2020 11:58
Mathematics, 22.05.2020 11:58
Mathematics, 22.05.2020 11:58
Mathematics, 22.05.2020 11:58
Mathematics, 22.05.2020 11:58
Biology, 22.05.2020 11:58
