Question

calculus problem

Answer 1

http://gyazo.com/8c599d59126f2f9cc850d5f627b8b0b6

Answer 2

Can anyone help me with question 2?

Answer 3

you can do it piece-wise...
write the function for f(t) from 0 to 2
then again from 2 to 6
then you can integrate these and piece them together.

you can estimate g(7) by integrating f(t) from 0 to 6 using the piece-wise functions you obtain above and then estimate the area under the curve from t = 6 to 7 and add that on.

you should be able to graph precisely g(x) from 0 to 6 and then estimate the rest from the graph of f(t).