7/23/2019 GATE EE(Maths)

http://slidepdf.com/reader/full/gate-eemaths 1/1

  SET 8 , MATH Portion Date:21.07.15

1.  For what values of  and , the directional derivative of  at (1,1,1)

along  is  and along  is  

   

2. 

Laplace Transformation of  {    is 

[

] , (B)

[ ], (C)

[

], (D)

[ ] 

3.  The matrix A, defined by A=( ) is orthogonal if

 

 , (B)

 , (C) , (D) 4.  The value of ∮

 where C is the contour |

|  is

(A) , (B) , (C) , (D)  

5. Consider the initial value problem  . Use Euler’s method with step sizes

h=0.3 to compute approximations to  is equals to

(A) 0.953, (B) 0.0953, (C) 0.909 (D) -0.953

Answer:

1.  (B) 2. (A) 3. (B) 4. (C) 5. (A)