For the following questions write down a few steps of the solution then write C programs to obtain final answers. 1. Solve the equation e=3x using a. Bisection method b. Newton Raphson method 2. The altitude (ft) from the sea level and the corresponding time (sec) for a fictitious rocket were measured as follows: Time || 020 | | 40 | | 60 | 80 | | 100 | | 120 | | 140 || 160 || 180 || 200 Altitude 3709170 23835456246206587368 197355103422127892 149626160095 Numerically compute the velocity from the table above for t=0 200 keeping the same accuracy as the central difference scheme. 3. Numerically integrate the below using the Simpson rule. 0 x In (x+1) dx. -0.5