9514 1404 393
Answer:
3/(x +1) -4/(x +1)^2
Step-by-step explanation:
The partial fraction expansion will be of the form ...
A/(x+1)^2 +B/(x+1)
We can find the values of A and B by writing the sum of these terms:
= (A +B(x +1))/(x +1)^2
Then we require ...
B = 3
A +B = -1 ⇒ A = -4
So, the desired expansion is ...
3/(x +1) -4/(x +1)^2
See you gotta do question 2 and 10 by yourself coz I can’t get the correct measurement.
Else than that is here
Check it out
Here is the working
Hope it helps :)
If is the water level after days, then at the start we have . After the first day , the water level falls by 1.5, so that . After the second day , the water level falls by a total of 2(1.5) = 3, so that . And so on.
The idea is that has the closed form (to answer part b).
could be any non-negative number of days, which means we can pick from the set of non-negative real numbers. However, after a certain point, our function will start returning negative values, which would translate to the water level falling below the riverbed. So for the purposes of this problem, we should first find out when reaches 0:
That is, the river dries up completely after 14 days. So we can say the domain of is .
The range is the set of values that can take on for the values of in the domain. In this case, we start at 21 and steadily fall to 0, so the range is .
After 9 days, the water level falls to
so in total, the water level would have subsided by a depth of 21 - 7.5 = 13.5 ft.
Answer:
4120 feets
Step-by-step explanation:
Given that:
Starting elevation = 0 feets
Elevation gained on first day = 2150 feets
Total elevation at the end of day 1 = 0 + 2150 = 2150 feets
Elevation gained on second day = 1970 feets
Total elevation at the end of day 2 = 2150 + 1970 = 4120 feets
Elevation at the end of 3 rd day = 0 feets
Hence, elevation lost on day 3 ;
(4120 - 0) = 4120 feets
Each lion has 1 head. The number of lion heads is L .
Each bird has 1 head. The number of bird heads is B.
The total number of heads of all species is (L + B) = 30
Each lion has 4 feet. The number of lion feet is 4L .
Each bird has 2 feet. The number of bird feet is 2B .
The total number of feet of all species is (4L + 2B) = 100
The system of linear equations is:
L + B = 30
4L + 2B = 100 .