Answer:
Step-by-step explanation:
<u>Differentiation</u>
We have a relationship between x and y as follows:
Both variables depend on time t for t≥0.
Differentiating with respect to time:
Applying the derivative of a power function:
Recall the derivative of a constant is 0.
Dividing by 2:
Solving for y':
At some specific time, we have:
x=3, y=4, dx/dt = x' = 6. Substituting:
Operating:
Simplifying: