Answer:
60 pi cubic units.
Step-by-step explanation:
Given that a region bounded by
is revolved around x axis.
To find the volume of generated solid
we know that when a curve is rotated form x=a to x=b around x axis
Volume V = 
Substitute a=0 , b =10 and 
we have
Volume = 
Hence volume would be 60 pi cubic units.
Answer:
no, 26 it is not a solution to the equation
Step-by-step explanation:
simply substitute n for 26 since n=26
n/12=2
26/12=2
2.17=2
that does not make sense (since 2.17 is not 2), so, no, 26 is not a solution
Answer:
The probability is 0.0144
Step-by-step explanation:
The probability that x people show up follows a binomial distribution, so it is equal to:
Where n is the number of booked people and p is the probability that a person shows up. Then, the probability that x people show up is:
So, the probability that the number of people who show up will exceed the capacity of the plane is:
P(x>73) = P(74) + P(75)
Where P(74) and P(75) are calculated as:
Finally, P(x>73) is:
P(x>73) = 0.0125 + 0.0019 = 0.0144
6^=3 = 1/6^3 = 1/216
2^-2 = 1/4
1/3^2 = 1/9 = 3^-2
2cos(x) - 4sin(x) = 3
use identity [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]
2√[1 - (sin(x))^2] - 4 sin(x) = 3
2√[1 - (sin(x))^2] = 3 + 4 sin(x)
square both sides
4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2
expand, reagrup and add like terms
4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)
20[sin(x)]^2 + 24sin(x) +5 = 0
use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834
Now use the inverse functions to find x:
arcsin(-0.93166) = 76.33 degrees
arcsin(-0.26834) = 17.30 degrees
