Mathematics, 02.11.2019 05:31 dixonmckenzie1429
Asprinkler distributes water in a circular pattern, supplying water to a depth of e^-r feet per hour at a distance of r feet from the sprinkler.
a) what is the total amount of water supplied per hour inside of a circle of radius 11?
b) what is the total amount of water that goes throughout the sprinkler per hour?
Answers: 1
![W(R=11)=\int\limits^R_{-R}\int\limits^R_{-R} {f(x,y)} \, dxdy = \int\limits^{2\pi} _{0}\int\limits^R_{0} {f(x,y)} \, r drd\alpha = \int\limits^{2\pi} _{0}\int\limits^R_{0} e^{-r} \, r drd\alpha = 2\pi [2-(R+1)e^{-R} ] = 2\pi [2-(11+1)e^{-11} ] = 12,5651](/tpl/images/0356/5411/ec308.png)
![W(R=\infty)= \lim_{R \to \infty} 2\pi [2-(R+1)e^{-R} ] =2\pi [2- \lim_{R \to \infty}(R+1)e^{-R} ] = 2\pi [2- \lim_{R \to \infty}(R+1)/e^{R} ] = 2\pi [2- \lim_{R \to \infty} 1/e^{R} ] = 2\pi [2- 0] = 4\pi = 12,5663](/tpl/images/0356/5411/3b018.png)
Another question on Mathematics
Mathematics, 21.06.2019 15:20
If x=-3 is the only x-intercept of the graph of a quadratic equation, which statement best discribes the discriminant of the equation?
Answers: 1
Mathematics, 21.06.2019 18:40
(mc 02.03) what set of reflections and rotations would carry rectangle abcd onto itself? reflect over the y-axis, reflect over the x-axis, rotate 180° rotate 180°, reflect over the x-axis, reflect over the line y=x reflect over the x-axis, rotate 180°, reflect over the x-axis rotate 180, reflect over the y-axis, reflect over the line y=x
Answers: 1
Mathematics, 21.06.2019 22:00
Which of the following is an example of conditional probability
Answers: 3
Mathematics, 22.06.2019 00:10
Use your knowledge of the binary number system to write each binary number as a decimal number. a) 1001 base 2= base 10 b) 1101 base 2 = base 10
Answers: 1
You know the right answer?
Asprinkler distributes water in a circular pattern, supplying water to a depth of e^-r feet per hour...
Questions
Mathematics, 29.01.2021 05:10
History, 29.01.2021 05:10
Mathematics, 29.01.2021 05:10
Biology, 29.01.2021 05:10
English, 29.01.2021 05:10
Mathematics, 29.01.2021 05:10
Mathematics, 29.01.2021 05:10
English, 29.01.2021 05:10
