The voltage v(t) in a certain circuit is given by the equation: v(t)=4t^3-16t^2+19t-6 V, for 0<= t<=3 seconds. Determine the global maximum and the global minimum for v(t) on the time interval 0<=t<=3 seconds.
Hanna Webster
Answered question
2022-11-05
The voltage v(t) in a certain circuit is given by the equation: seconds Determine the global maximum and the global minimum for v(t) on the time interval seconds.
Answer & Explanation
dobradisamgn
Beginner2022-11-06Added 17 answers
Given function :
We have to find the Global Maximum and Minimum in the interval [0,3] First we calculate the derivative of the given function :
Then we equate the derivative to 0 and solve for t:
Both these points are in the given interval. So, they are both critical points. When t=0,
When t=1.77
When t=0.89
When t=3
So, Global Maximum is at t=3 where v(t)= 15 Global Minimum is at t=0 where v(t)= -6