The answer above is NOT correct.
At this point, suppose q is a quantity function and q' is the associated rate function. Consider the following table of values for q near the point t = 0.0027:
0.65067676
-0.32848838
0.00270338838
0.66507678
q
-0.99849324
-0.097191273033118838
0.14605544
0.99774223
To obtain more precise information about the value of q near t = 0.0027, enter a new increment value for h here: 0.33118838
and then press the Submit Answer button
in order to estimate the value of q at t = 0.0027 to two significant figures of accuracy.
0.0027
0.40
Your attempt is incorrect. You may need to try a new increment value for h above.