Answer just in MATLAB please.

Many thanks.

#MATLAB Questions

2. Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes and the curve y = cos x, OS XS 1/2, about, a) the y-axis b) the line x= Tt/2. (15 marks, 5 each part, 5 for baseline formulation) 3. (a) Solve the following double integral, (b) Sketch the region of integration, and (c) write an equivalent double integral with the order of integration reversed. 1 g/1-y _3y dx dy (15 marks, 5 for each part) 4. Which of the following sequences converge or diverge? Find the limit of converging sequences. a) a a) an = 1-2n 1+2n b) an = (1+3) c) an = Inn (15 marks, 5 each part) (In vn + 1 - In Vn), and use it to a) Find a formula for the n-th partial sum of the series determine whether the series converges or diverges. b) Use the integral test to determine if seriesEn 16 ) converge or diverge. c) Use the Limit Comparison test to determine if the following series converges or diverges. in-2 Lin3 - n2 + 3) nel (15 marks, 5 each part) 6. Solve the following differential equations: a) y(3) - 5y" - 22y' +56y = 0 b) ty" + 4y' = 12 (10 marks, 5 each part)