Your answer would be 45 and 1/3
Considering balloon to be an spherical object
Volume of sphere =
, where r is the radius of sphere.
After 19 minutes ,If radius of balloon changes from r to R, the Volume changes from V to V'.
V'=
,
As given,rate at which the air leaked out of the balloon (in liters of air per minute) was half of the rate at which Vavilen inflated the balloon.
Also,
Now, again the radius changes from R to r.So, Volume changes from V' to Back to V.
Time taken by the balloon to deflate = 38 minutes
But there is no relation between time and volume of Balloon.
So, we can't predict at which rate balloon is deflating or inflating.Apart from the statement given in Question:
Answer:
64
Step-by-step explanation:
The opposite operation to taking a derivative is an integral. Integrate to find original function.
f(x) = x^2 + x + C
C is constant because we didn't have bounds on the integral. it lets you choose the input value let's say is just (1,0)
0 = 1 + 1 + C
- 2 = C
function at input value (1,0)
f(x) = x^2 + x - 2
now if you check by taking derivative is :
f' = 2x + 1