Answer:
Step-by-step explanation:
The first mathematician orders 1 beer, the second orders 1/2 a beer, the third orders 1/4 a beer, the fourth orders 1/8 a beer, the fifth orders 1/16 a beer. . .
- The Sequence is:

- On observation, the next term is derived through the division of the previous term by 2.
- 2 is the constant factor
- Therefore, the bartender says 'Fine, I’ll just pour you two beers.'
Therefore, if the first mathematician orders 6 beers, the second orders 2 beer, the third orders 2/3 a beer, and so on
- The sequence is

- On observation, the next term is derived through the division of the previous term by 3.
- 3 is the constant factor
- Therefore, the bartender should pour three beers.
Answer:
Step-by-step explanation:
------(I)
![LHS =\dfrac{Cos \ A}{1+Sin \ A}+\dfrac{1+Sin \ A}{Cos \ A}\\\\\\ = \dfrac{1-Sin \A}{Cos \ A}+\dfrac{1+Sin \ A}{Cos \ A} \ [from \ equation \ (I)]\\\\\\=\dfrac{1-Sin \ A + 1 - Sin \ A}{Cos \ A}\\\\=\dfrac{2}{Cos \ A}\\\\\\=2*Sec \ A = RHS](https://tex.z-dn.net/?f=LHS%20%3D%5Cdfrac%7BCos%20%5C%20A%7D%7B1%2BSin%20%5C%20A%7D%2B%5Cdfrac%7B1%2BSin%20%5C%20A%7D%7BCos%20%5C%20A%7D%5C%5C%5C%5C%5C%5C%20%3D%20%5Cdfrac%7B1-Sin%20%5CA%7D%7BCos%20%5C%20A%7D%2B%5Cdfrac%7B1%2BSin%20%5C%20A%7D%7BCos%20%5C%20A%7D%20%5C%20%5Bfrom%20%5C%20equation%20%5C%20%28I%29%5D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B1-Sin%20%5C%20A%20%2B%201%20-%20Sin%20%5C%20A%7D%7BCos%20%5C%20A%7D%5C%5C%5C%5C%3D%5Cdfrac%7B2%7D%7BCos%20%5C%20A%7D%5C%5C%5C%5C%5C%5C%3D2%2ASec%20%5C%20A%20%3D%20RHS)
Answer:
4
Step-by-step explanation:
Answer:Volume of a sphere is 4/3πr^3
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
find out f(2)
f(2)= (3×2×2) - 4= 8
then g(8) = 16 - 6= 10