Solve the following Questions using MATLAB. Copy your answer with all the steps, and paste in the assignment along with the screenshots) Question 4: (T=36)
a. If the root of the equation e²t = t + 6 lies between 0.5 to 1, find the root with the 4 decimal places accuracy using the Newton-Raphson method. (12 marks)
b. Find the area of the region bounded by the curve x = (T+3)y² - 2y, the y-axis and abscissa y = 1 and y = 4. (8 marks)