Answer:
The y-coordinate of point A is .
Step-by-step explanation:
The equation of the circle is represented by the following expression:
(1)
Where:
- Independent variable.
- Dependent variable.
,
- Coordinates of the center of the circle.
- Radius of the circle.
If we know that ,
and
, then the equation of the circle is:
(1b)
Then, we clear within (1b):
(2)
If we know that , then the y-coordinate of point A is:
The y-coordinate of point A is .
Answer:
The differential equation is
Step-by-step explanation:
Differential equation for the rate of change in radiation level:
Radiation level is R.
Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:
After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.
Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is: