Mathematics, 01.04.2020 19:39 moranmar2283
Find the centroid of the region bounded by the given curves. y = 6 sin(4x), y = 6 cos(4x), x = 0, x = π 16
Answers: 1
.
and ![[a,b]=[0, \frac{\pi}{6}]](/tpl/images/0575/9344/bf57e.png)
![=6\Big[\frac{-\cos (4x)}{4}\Big]_{0}^{\frac{\pi}{6}}-6\Big[\frac{\sin (4x)}{4}\Big]_{0}^{\frac{\pi}{6}}](/tpl/images/0575/9344/e3c6e.png)
![=\frac{3}{2}\Big[-\cos (\frac{2\pi}{3})+\cos 0-\sin (\frac{2\pi}{3})+\sin (0)\Big]](/tpl/images/0575/9344/ea81a.png)
![=\frac{3}{2}\Big[\frac{1}{2}-\frac{\sqrt{3}}{2}\Big]=\frac{3}{4}(1-\sqrt{3})](/tpl/images/0575/9344/03800.png)
![=6\Big[-\frac{x\cos (4x)}{4}\Big]_{0}^{\frac{\pi}{6}}+\frac{3}{2}\Big[\frac{\sin (4x)}{4}\Big]_{0}^{\frac{\pi}{6}}-6\Big[\frac{x\sin (4x)}{4}\Big]_{0}^{\frac{\pi}{6}}+\frac{3}{2}\Big[-\frac{\cos (4x)}{4}\Big]](/tpl/images/0575/9344/5a46f.png)
Another question on Mathematics
Mathematics, 21.06.2019 19:30
Si la base de un triángulo isósceles mide 70 m y el ángulo opuesto a ésta mide 58°; entonces ¿cuánto mide la altura de dicho triángulo? a) 21.87 m. b) 40.01 m. c) 43.74 m. d) 63.14 m.
Answers: 1
Mathematics, 21.06.2019 19:50
A3-dimensional figure has a square base and 4 lateral faces that meet at a point. explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex, and when a slice is made perpendicular to the base and not through the vertex
Answers: 2
You know the right answer?
Find the centroid of the region bounded by the given curves. y = 6 sin(4x), y = 6 cos(4x), x = 0, x...
Questions
Mathematics, 23.11.2020 18:30
English, 23.11.2020 18:30
Business, 23.11.2020 18:30
Biology, 23.11.2020 18:30
Computers and Technology, 23.11.2020 18:30
Spanish, 23.11.2020 18:30
Biology, 23.11.2020 18:30
Mathematics, 23.11.2020 18:30
Physics, 23.11.2020 18:30
History, 23.11.2020 18:30
Biology, 23.11.2020 18:30
Chemistry, 23.11.2020 18:30
Mathematics, 23.11.2020 18:30
