Mathematics, 08.02.2022 14:00 BLASIANNkidd
Find the volume, V, of the solid obtained by rotating the bounded region in the first quadrant enclosed by the graphs of
y=x^2, x=y^4
about the x-axis.
Answers: 1
is given by ![\pi \int_a^b [f(x)]^2dx](/tpl/images/2649/6773/9edae.png)
, in our case the volume is given by the expression![\pi [\int_0^1 (\sqrt[4]{x})^2-(x^2)^2 dx] = \pi[\int_0^1 \sqrt{x}-x^4 dx] = \pi[\frac23x^\frac32 -\frac15 x^5 ] _0^1 = \pi (\frac23 -\frac15) = \frac7{15}\pi](/tpl/images/2649/6773/375be.png)
Another question on Mathematics
Mathematics, 21.06.2019 14:30
The amount of money, in dollars, in an account after t years is given by a = 1000(1.03)^t. the initial deposit into the account was $_^a0 and the interest rate was _a1% per year. only enter numbers in the boxes. do not include any commas or decimal points^t. the initial deposit into the account was $__^a0 and the interest rate is % per year.
Answers: 1
Mathematics, 21.06.2019 19:30
Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)
Answers: 1
Mathematics, 21.06.2019 20:00
He weights of 2-pound bags of best dog food are approximately normally distributed with a given mean and standard deviation according to the empirical rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47.5%68%95%99.7%
Answers: 3
You know the right answer?
Find the volume, V, of the solid obtained by rotating the bounded region in the first quadrant enclo...
Questions
Mathematics, 08.09.2021 02:10
Mathematics, 08.09.2021 02:10
Mathematics, 08.09.2021 02:20
Mathematics, 08.09.2021 02:20
Mathematics, 08.09.2021 02:20
Physics, 08.09.2021 02:20
Chemistry, 08.09.2021 02:20
History, 08.09.2021 02:20
Mathematics, 08.09.2021 02:20
History, 08.09.2021 02:20
