i *(x_k) |<1, for k=0,1,2,...

(९ (++1))` |` <= |` 0111 ‏('(ل×)'‎ for k=0, 1,2, ...
‏ديم‎ (വടമ (| 911" ` (५ 0: | + | ` णौ ` (€ (0 |), for k=0, 1, 2,...
Correct Answer:- Option-B

Question88:-Let *x_0° be an initial approximation to the root of an algebraic equation f(x)=0 and let റവ ഥം the ‘k*(th)*

iterate obtained in Newton-Rapson method. Then for k=1, 2, 3,...

~> ((<+1) = 2८ (< + “f (x_k)/(ft (x_k)’ *(x_k-x_0)*

x_(k+1) = x_k + *(ft (x_K))/(F (x_k))* *(x_k-x_0)°

(k+1) = x_k = *(F! (_K))AF (x_k))*

(_(((+1) 5 »_॥ - ( (५ ॥0)0' (७0)

Correct Answer:- Option-D

Question89:-If A is the forward difference operator, then ae fl) =
‏ہر‎ 5۰+3 Oia) + SF G2) +F bis)
‏(میھ) / - (ییھا 3۲ +(ییدا 37 - (عتا/ وج‎
८46५3) + SF வடிய வவர (ad
ഉപം ചു - ‏ليها تر‎
Correct Answer:- Option-D
Question90:-Approximate value of f (5) by Lagrange's interpolation polynomial using the following data :

| >= | 3 ] 6 |
(5) | 40 | 7
A:-18
B:-23.5
4.5
D:-47

Correct Answer:- Option-A
Question91:-A Linear transformation T ௦௩152: (21:
operator iff the matrix of T in the Fourier basis is

A:-Hermitian

B:-Skew Hermitian

C:-Orthogonal

D:-Diagonal

Correct Answer:- Option-D
Question92:-Which of the following is an elliptic function ?

A:-Weirstrass p function

B:-Weirstrass ‘sigma* function

C:-Weirstrass Zeta function

ഉ:- 62

Correct Answer:- Option-A
Question93:-Domain of convergence of Riemann Zeta function is

A:-Rez>0

B:-Rez>1

022 1

0:2 <1

Correct Answer:- Option-B
Question94:-The relative cardinality of the Fuzzy set A={(a, 0.1), (b, 0.5), (c, 0.9)} is

Av1.5

B:-0.5

ای

0:-0

Correct Answer:- Option-B
Question95:-Tychnoff's theorem states that :

A:-Arbitrary product of compact spaces is compact in the product topology

B:-Arbitrary product of hausdorff spaces is hausdorff in the product topology

C:-Arbitrary product of regular spaces is regular in the product topology

D:-Arbitrary product of normal spaces need not be normal in the product topology

Correct Answer:- Option-A
Question96:-The language generated by the Grammar G = ({S}, 2 ={a, b} S, {S *->* aSb |A}) is