Answer:
x(t) = 2000 - e^(-k*t)
Step-by-step explanation:
Interpretation:
No . infected student = x
Total student = 2000
rate of infected students = dx / dt
not-infected student = 200 - x
The general rate at which student are infected can be expressed as below:
dx / dt = k * ( 2000 - x )
To develop an expression of x(t) we integrate the above expression by separating variables:
dx / (2000 - x ) = k * dt
Now integrate:

@ t = 0 , infected students x = 0
Hence,
C = - ln (2000)

20 and 3 4ths happy to help
Answer:
-x²-2
Step-by-step explanation:
x² = the curve faces upwards
but
-x² the curve faces downwards.
also
the downward curve touches -2 on the y axis.
therefore gx = -x²-2