BSc Sem IV 2014 2015 2015 Math Lll Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q3 For Q.4 Attempt any three.(each 5 mks)
2. Q1 (a) Attempt any one [Each 8]
3. Q1 Derive basic formula to find the area of region as a limit of Riemann sum and find the area of region between x = y + 2,x = y*but in first quadrant 2)Explain the method to find volume of a solid of revolution by disk and washer and solve following The region between y = 0 <x 4 and x-axis is revolved about x-axis. to generate a solid, Find its volume
4. Q1 (b) Attempt any three. [Each 4]
5. Q1 State Direct comparison test and investigate convergence of dx
6. Q2 The region is bounded by parabola y = x? and the line y = 2x in the first is revolved about y-axis to generate a solid. Find a volume of solid
7. Q3 Find the area under curve y = from x
8. Q2 (a) Attempt any one [Each 8]
9. Q1 Derive Bisection method and write an algorithm of bisection
10. Q2 Discuss convergence and algorithm of Newton Raphson method
11. Q2 (b) Attempt any three. [Each 4]
12. Q2 solve the following 0.25 with y(0) =
13. Q5 20 = 0 by Muller’s Method
14. Q6 Solve by Picard’s

Read from the scan above, so a character or two may differ. The scan is the original.