Answer the following problem using MATLAB. Please show ALL MATLAB code involved. (modified secant method)

Terminal velocity of a solid spherical particle falling in fluid media can be expressed by the equation v_t=squareroot 4gtimes(p_p-p)times D_p/3C_ptimes p where v\ is the terminal velocity (m/s), g is the gravitational acceleration (m/s2), pp is the particle's density (kg/m3), Dp is the diameter of the spherical particle (m), and Cd is the dimensionless drag coefficient. The drag coefficient varies with the Reynolds number (Re) as: C_d = 24/Re for Re greterthan 0.1 C_d = 24/Re (1+0.14Re^0.7) for 0.1 Re 1000. Use the modified secant method with = 0.1. Find the terminal velocity for a) and b) starting with the same initial estimate. How many iterations were needed? a) and b) for reference. DO NOT SOLVE a) and b), only solve 1.! b) Find the terminal velocity if the diameter of the iron pellets decreases to 0.1 mm. Again, note the number of iterations required. c) Use the modified secant method with 5 = 0.1. Find the terminal velocity for a) and b) starting with the same initial estimate. How many iterations were needed, and how does it compare to the fixed-point iteration scheme? Terminal velocity of a solid spherical particle falling in fluid media can be expressed by the equation v_t=squareroot 4gtimes(p_p-p)times D_p/3C_ptimes p where v\ is the terminal velocity (m/s), g is the gravitational acceleration (m/s2), pp is the particle's density (kg/m3), Dp is the diameter of the spherical particle (m), and Cd is the dimensionless drag coefficient. The drag coefficient varies with the Reynolds number (Re) as: C_d = 24/Re for Re greterthan 0.1 C_d = 24/Re (1+0.14Re^0.7) for 0.1 Re 1000. Use the modified secant method with = 0.1. Find the terminal velocity for a) and b) starting with the same initial estimate. How many iterations were needed? a) and b) for reference. DO NOT SOLVE a) and b), only solve 1.! b) Find the terminal velocity if the diameter of the iron pellets decreases to 0.1 mm. Again, note the number of iterations required. c) Use the modified secant method with 5 = 0.1. Find the terminal velocity for a) and b) starting with the same initial estimate. How many iterations were needed, and how does it compare to the fixed-point iteration scheme