BSc CS Sem 2 BSc CS Semester 2 (2020 2021) 2021 Sem2 Calculus Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 A function in which every element of co-domain has a pre-image in domain is called
   • d) Invertible
2. Q2 A function f is concave down on an interval I if for all x I
3. Q3 In which of the following methods, we approximate solution of curve by tangent in each interval?
   • a) Simpson’s method
   • b) Newton’s method
   • c) Euler’s method
   • d) Hoffman’s method
4. Q4 Point where concavity of curve changes is called
   • a) Cusp
   • b) Point of minima
   • c) Point of maxima
   • d) Point of inflection
5. Q5 The horizontal asymptote of the function f(x) = is
6. Q6 Derivative of the function xlogx is
7. Q7 Find the interval in which the function f(x) = x? is decreasing?
8. Q8 lim is
9. Q9 The rate of change of one variable with respect to another is called
   • a) Continuity
   • b) Integral
   • c) Derivative
   • d) Critical point
10. Q11 Critical point of the function f(x,y) =x? — is
11. Q13 The unit vector of 31 + j is
12. Q14 Gradient vector of f(x,y) = x? + y? at (1,2) is
13. Q15 Function f decreases most rapidly at point u when v is a unit vector
    • b) In the direction of —Vf
    • c) Perpendicular to Vf
    • d) Making angle with Vf
14. Q16 For a function f, =" =t fry = S. If rt < 0 at the critical point, then the
    • a) Local maxima
    • b) Local minima
    • c) Cusp
    • d) Saddle point
15. Q18 Area under the curve y = over the interval [-1, 1] is
16. Q19 is
17. Q20 Solution of differential equation = iS
    • a) logy =logx+c
    • c) logy =
18. Q21 f cosec*x dx is
19. Q22 [ + 2)dx is
    • b) —cos(x?
20. Q23 Integrating factor of differential equation + is
21. Q24 Which of the following method is used to find the integral of a function?
    • a) Newton’s method
    • b) Euler’s method
    • c) Simpson’s method
    • d) Hoffman’s method
22. Q25 sinx dx is

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