Mathematics II 2018-objective

Group A

Attempt all the questions. [10x1 = 10]

1. For all rational values of n, is equal to

2. If  then f(x) is said to be

a) Removable discontinuity    

b) An ordinary discontinuity    

c) Infinite discontinuity    

d) Finite discontinuity

3. Derivative of tan-1x is equal to

4. The value of is equal to,

a) e^x    b) 1    c) 0    d) -1

5. The differential equation:is known as

a) Second degree second order

b) Second degree first order

c) First degree second order

d) First order second degree

6. One important condition to satisfy Rolle's Theorem by a function f(x) in [a, b] is

a) f(a) > f(b)    b) f(a) < f(b)    c) f(a) = f(b)    d) f(a) = f(b) ≠ 0

7. Formula for the composite trapezoidal rule is

8.While applying Simpson's 3/8 rule the number of sub-interval should be

a) Odd    b) 8    c) Even    d) Multiple of 3

9. In Gauss Elimination method the given system of simultaneous equation is transformed into

a) Lower tri-angular equation    b) Unit matrix    c) transpose matrix    d) upper triangular matrix

10. In Newton-Raphson method, if x_n is an approximate solution of f(x) = 0 and f /(xn) ≠ 0 the next approximation is given by