Answer:
wha?
Step-by-step explanation:
Answer:
Step-by-step explanation:
concentration = amount of salt/solution
A) Initial concentration= 90/1000 = 0.09
Q = quantity of salt
Q(0) = 90 kg
Inflow rate = 8 l/min
Outflow rate = 8 l/min
Solution = 1000 L at any time t.
Salt inflow = 0.045 * 8 per minute
= 0.36 kg per minute
This is mixed and drains from the tank.
Outflow =
Thus rate of change of salt
Q'(t) = inflow - outflow =
Separate the variables and integrate
Use the fact that Q(0) = 90
90 = 360-A
A = 270
So
B) Q(t) = 360-270e^-0.004 = 91.07784
C) When t approaches infinity, we get
Q(t) tends to 360
So concentration =360/1000 = 0.36
The function for the profit would be: p(x) = 700x - 1150.
To find the profit of a business, you have to subtract the costs from the revenue. In this case, we have function for both of these values.
All we need to do is subtract the functions:
(2300x + 1235) - (1600x + 2385) = 700x - 1150
m<1 = 59°
m<2 = 90° - 59° = 31°
m<3 = 59°
m<4 = 31°
m<5 = 31°
m<6 = 59°
m<7 = 180° - (31° + 31°) = 118°
m<8 = 180° - 118°= 62°
m<9 = m<8 = 62°
m<10 = m<7 = 118°
m<11 = 31°