Answer:
6000π m²/h
Step-by-step explanation:
Area of the circular cloud =πr²----------------------------------------- (1)
Radius as a function of time = R(t)=50+20t------------------------ (2)
dA/dt = (dA/dr) x (dr/dt)-----------------------------------------------------(3)
dA/dr = 2πr
dr/dt = 20
After 5 hours, the radius of the cloud will be :
R(5)=50+20(5)
= 150 meters
Substituting into (3)
dA/dt = 2π(150) x 20
= 6000π m²/h
Answer: 1
Heres why: If you subtract the 1 from 2 you get 1
See attached graph (from -4<=x<=2 )
The y-intercept is the multiplier to the exponential, i.e. 2.
The graph goes from (-3,1/4) to (2, 8), so the range in interval notation is [1/4,8]
If f(x)=2(3^x), then the y-intercept stays the same at 2. The graph goes from (-3, 2/27) to (2,18), and the corresponding range will be [2/27, 18].
See second graph for more information.
Answer:
1,3,6,10,15,21,…..
These are all the sum of natural numbers upto the n
So, in this series
1st Term = 1
2nd Term = 1+2 = 3
3rd Term = 1+2+3 = 6
4th Term = 1+2+3+4 = 10
So,
Term - n = 1+2+3+….+n = n(n+1)/2
That’s your answer n(n+1)/2
Good Luck
Step-by-step explanation:
Answer:
The concluding part
Step-by-step explanation: