For each probability density function, over the given interval, find E ( x ) , E ( x 2 ) , the mean, the variance, and the standard deviation. f ( x ) = 1 8 x , [ 0 , 4 ]
For each probability density function, over the given interval, find E ( x ) , E ( x 2 ) , the mean, the variance, and the standard deviation. f ( x ) = 1 8 x , [ 0 , 4 ]
Solution Summary: The author calculates the probability density function f(x)=18x over the interval [0,4].
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
4. Use cylindrical shells to find the volume of the solid generated when the
region enclosed by the given curves is revolved about the x-axis.
y = √√x, y = 0, y = √√3
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