I just need c and e please i dont know how to do it in mathmatica please tell me the commands step by step thank you

Problem # $2$:

Suppose that B$($t$)$ represents your bank balance in dollars, where t is time in days

since January $1.$ Your bank tells you that the daily rate of change of money in

your account $($in dollars per day$)$ is B$^(\text{'})($t$)=100$t$^(2)-600$t$+500$

a$\backslash$int$\_0^7$ B$^(\text{'})($t$)$dt using the Evaluation Theorem $($integrate by

hand$).$ Show work below $-$ round your final answer to $2$ decimal places. Include

units!

bB$^(\text{'})($t$)$ over the interval t Shade the area between

the function and the t$-$axis by using the Plot options: Filling $->$ Axis and

FillingStyle $->$ Color. Submit a copy of your graph with this assignment.

d$)$ In the space below, use the evaluation theorem $($integrate by hand$)$ to find

the total amount of money that was withdrawn from your account and the total

amount that was deposited, over the time period t Note: both

answers should be positive. HINT $-$ You need to find the time intervals when the

bank account is gaining$/$losing money. Show all work!

Amount withdrawn

Amount deposited

e$)$ Use Mathematica and the Integrate command to find the total amount of

money that was withdrawn from your account and the total amount that was

deposited, over the time period t Note: both answers should be

positive.

Amount withdrawn

Amount deposited