A solid is generated by rotating about the x-axis the region under the curve y=f(x) where f is a positive function and x bigger
than or equal to zero. the volume generated by the part of the curve from x=0 to x=m is m^2 for all m>0. find the function f.Hint: differentiate both sides of your volume equation with respect to m using FTC1.(please be clear with the input)
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Answer: 1440
Step-by-step explanation:
To arrange 3 boys and 4 girls such that no two boys are together.
Since boys should be arranged between the girls.
So first arrange the girls.
Assume that the girls are placed, then there will be 5 spaces left for 3 boys.
The number of combinations to fill these places =
Also, 3 boys can arrange themselves in 3! =3 x 2 x 1 = 6 ways
4 girls can arrange themselves in 4! = 4x 3 x 2 x 1 = 24 ways
Then, the total number of arrangements = 10 x 6 x 24 = 1440
Hence, the required number of arrangements = 1440
