It appears that you have a derivative and want to integrate...
dy/dx=1+3√x
y(x)=x+(2/3)x^(3/2)+C you are given that f(4)=25 so we can solve for the constant of integration...
y(4)=25=4+16/3+C
21=16/3+C
(63-16)/3=C
47/3=C so
f(x)=x+(2/3)x^(3/2)+47/3
f(x)=(3x+2x^(3/2)+47)/3
Answer: The the speed of elevators is 22.55.
Explanation:
It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.
The speed is the change in distance with respect to time.

From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,


Therefore, the speed of elevators is 22.55.
Answer:
12
Step-by-step explanation:
(25-16) / h = h / 16
9/h = h/16
=144 ( 9 x 16)
h₂ = 144
h= square root 144
h= 12
6.25 is the answer to the problem
Answer:
Altitude of the plane is 0.5 miles.
Step-by-step explanation:
From the figure attached,
An airplane A is at height h miles observes a small airstrip at D and a factory at F, 4.8 miles apart from D.
Angle of depressions for the airstrip is 13.1° and the factory is 4.1°.
We have to calculate the airplane's altitude h.
From ΔABF,
tan4.1 = 
h = 0.07168(x + 4.8) -----(1)
From ΔABD,
tan13.1 = 
h = 0.2327x -----(2)
From equation (1) and (2),
0.07168(x + 4.8) = 0.2327x
0.2327x - 0.07168x = 4.8×0.07168
0.161x = 0.344
x =
miles
From equation (2),
h = 0.2327×2.137
h = 0.4972 miles
h ≈ 0.5 miles
Therefore, 0.5 miles is the altitude of the plane.