well first you could just find the derivative and put 1.5 in then get the exact answer, but for estimation, take 2 points close to 1.5, so like t = 1.4 and 1.6, find the difference between those 2 values and divide by the difference in time.... 0.2s (I'm assuming seconds)
Comments
well first you could just find the derivative and put 1.5 in then get the exact answer, but for estimation, take 2 points close to 1.5, so like t = 1.4 and 1.6, find the difference between those 2 values and divide by the difference in time.... 0.2s (I'm assuming seconds)
So
The instantaneous rate of change is the derivative of d, which is:
d'=-10pisin(pi/3t), when t=3/2, it is d'=- 10 pisin(pi/2)=-10 pi
Then,d'(1.5)=-30(pi/3)sin(pi/3)t=
=-10pi * sin(pi/2)=-10pi
God bless you.