Answer:
it is 36.75
Step-by-step explanation:
Answer:
Continuous
Step-by-step explanation:
For the function to be continuous, f(x) must approach the same value as x approaches π from the left as the right.
f(π⁻) = f(π⁺)
lim(x→π) x sin x = lim(x→π) x tan x
π sin π = π tan π
0 = 0
Yes, the function is continuous.
Step-by-step explanation:
multiple height by width
Let the boxes be Box 1, Box 2, Box 3.
consider the 3 white balls. They can be all of them in one box:
(3, 0, 0) (3 in Box 1, 0 in box 2 and 0 in box 0)
(0, 3, 0)
(0, 0, 3)
We can have 2 in one box, and 1 in one of the remaining boxes:
(2, 0, 1)
(2, 1, 0)
(0, 2, 1)
(1, 2, 0)
(0, 1, 2)
(1, 0, 2)
and there is only one way: (1, 1, 1) to place one white ball in each box
In total there are: 3+6+1=10 ways to place the white balls. Similarly there are 10 ways to place the black ones.
Since every placement of the white balls can be combined with any placement of the black balls, there are 10*10=100 ways to place the 3white balls and the 3 black bals in the boxes.
Answer: 100
