-6x^3 + 3x^2 - 4x + 7
Leading coefficient: -6
Degree: 3
Constant: 7
Answer:
Sugar will dissolve to half of it's amount in 2.41 minutes.
Step-by-step explanation:
The given question is incomplete; here is the complete question.
When the sugar is dissolved in water, the amount A that remains undissolved after t minutes satisfies the differential equation
If 25% of the sugar dissolves after 1 min, how long does it take for half of the sugar to dissolve.
The given differential equation is
In other form, dA = -kA.dt
We further integrate the equation,
lnA = -kt + c
Or
A = -----(1)
Here is a constant.
For t = 0,
Let
Therefore, equation (1) will become
A =
If sugar dissolves 25% in 1 minutes then undissolved sugar will be
100 - 25 = 75%
Now from the equation
By taking natural log on both the sides
k = 0.2877
Now we have to calculate the time to dissolve half of the sugar, that means half the sugar will be undissolved.
Form the equation,
ln(0.5) =
0.6931 = 0.2877t
t = 2.41 minutes
Answer:
Because we get frightened easily.
Step-by-step explanation:
:D