Mathematics, 15.07.2020 17:01 sherry59Sherry59
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 − 1 2 x, y = 0, x = 1, x = 2; about the x-axis V = Sketch the region. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Sketch the solid, and a typical disk or washer. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot
Answers: 2
![\displaystyle V = \int_{1}^{2} \pi (4 - \frac{1}{2}x)^{2}dx = \pi \int_{1}^{2} \left(\dfrac{8-x }{2}\right)^{2}dx=\dfrac{\pi }{4}\int_{1}^{2} \left(8-x\right)^{2}dx\\\\=-\dfrac{\pi }{4}\times \dfrac{1}{3}\left[ 8 - x)^{3}\right]_{1}^{2}= -\dfrac{\pi }{12 }\left [512 - 192x + 24x^{2}-x^{3} \right ]_{1}^{2}\\\\=-\dfrac{\pi }{12}(512 - 384 + 96-8) + \dfrac{\pi }{12}(512 - 192 +24 -1)\\\\= -\dfrac{216\pi }{12} + \dfrac{343\pi }{12} = \mathbf{\dfrac{127 \pi}{12}\approx 33.25}](/tpl/images/0707/1816/8a190.png)
Another question on Mathematics
Mathematics, 21.06.2019 19:30
It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?
Answers: 1
Mathematics, 21.06.2019 20:50
Determine the common ratio and find the next three terms of the geometric sequence. 649-14-02-00-00_files/i0100000, 649-14-02-00-00_files/i0100001, 2, a. 3; 649-14-02-00-00_files/i0100002, 649-14-02-00-00_files/i0100003, 649-14-02-00-00_files/i0100004. c. 649-14-02-00-00_files/i0100005; 649-14-02-00-00_files/i0100006, 649-14-02-00-00_files/i0100007, 649-14-02-00-00_files/i0100008. b. 3; 6, 18, 54 d. 649-14-02-00-00_files/i0100009. 6, 18, 54 select the best answer from the choices provided a b c d
Answers: 1
You know the right answer?
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...
Questions
Mathematics, 28.02.2020 04:30
Mathematics, 28.02.2020 04:30
Mathematics, 28.02.2020 04:30
Mathematics, 28.02.2020 04:30
Geography, 28.02.2020 04:31
Chemistry, 28.02.2020 04:32
Mathematics, 28.02.2020 04:32
History, 28.02.2020 04:32
Mathematics, 28.02.2020 04:33
