a$)$Find h$(30)$ using the trapezoid rule $($the way it$$s taught in class$),$ Simpson$$s rule, and the Numpy built$-$in function $$numpy$.$trapz$($using $\_0=30,$ obviously$)$ and print on console$/$terminal$.$ Compare the values you get from all three and write a comment about the differences.

b$)$Calculate the time period values for a range of $\_0$ from $0$ to $90$ and write them on an Excel file along with the h$($$\_0)$ values. The Excel file should have three columns, one with angles in degrees, one with the h$($$\_0)$ values, and the third with time period in seconds, with headers indicating each.