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Answer in MATLAB please. # MATLAB questions 2. Find the volume of the solid generated by revolving the region in the first quadrant bounded by
Answer in MATLAB please.
# 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 XST/2, about, a) the y-axis b) the line x= 1/2 (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 1-12 - (15 marks, 5 for each part) 4. Which of the following sequences converge or diverge? Find the limit of converging sequences. a) an = 1+2n b) an = (1 +33 c) an = inn (15 marks, 5 each part) a) Find a formula for the n-th partial sum of the series En=(In Vn +1 - In Vn), and use it to determine whether the series converges or diverges. b) Use the integral test to determine if seriesEn 1G ) converge or diverge. c) Use the Limit Comparison test to determine if the following series converges or diverges. 24-+3) n=1 (15 marks, 5 each part)
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