24 y = 6x + 6y
3 y = x
Next, we take the derivative of the equation with respect to t: 3 = . Now, we can plug
= 4 into the derivative and solve: = ft/s.
- in.^2 /min
We know that it takes 60 minutes for the minute hand of a clock to make one complete
revolution, so the rate at which the angle, θ, formed by the minute hand and noon increasing, in
terms of radians/min, is = = . Next, we know that the area of the sector of a circle
is proportional to its central angle, so , which can be simplified to S = r^2 θ.
