Given f(x,y)=x2+y2.Thenis

1.  4

2.  2

3.  0

4.  4(x+y)2

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

The unit normal to the plane 2x+y+2z=6 can be expresses in the vector form as

1.  I3+j2+k2

2.  I(2/3)+j(1/3)+k(2/3)

3.  I(1/3)+j(1/2)+k(1/2)

4.  I(2/6)+j(1/6)+k(2/6)

View Answer  
4
Correct Answer :

I(2/3)+j(1/3)+k(2/3)


Explanation :
No Explanation available for this question

The directional derivative of f(x,y,z)=x2+y2+z2 at the point (1,1,1) in the direction i-k is

1.  0

2.  1

3.  √2

4.  2√2

View Answer  
4
Correct Answer :

0


Explanation :
No Explanation available for this question

The fuction f(x)=3x(x-2) has a

1.  Minimum at x=1

2.  Maximum at x=1

3.  Minimum at x=2

4.  Maximum at x=2

View Answer  
4
Correct Answer :

Minimum at x=1


Explanation :
No Explanation available for this question

The value of integralis

1.  0

2.  0.25

3.  0

4.  ∞

View Answer  
4
Correct Answer :

∞


Explanation :
No Explanation available for this question

The value of ε in the mean value theorem of f(b)-f(a)=(b-a)f’(ε) for f(x)=Ax2+Bx+C in (a,b) is

1.  B+a

2.  b-a

3.  (b+a)/2

4.  (b-a)/2

View Answer  
4
Correct Answer :

(b+a)/2


Explanation :
No Explanation available for this question

Ifis differentiable vector function and f is a sufficient differentiable scalar function,then curlis equal to

1.  

2.  

3.  

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question

Among the following ,the pair of vectors orthogonal to each other is

1.  [3,4,7],[3,4,7]

2.  [1,0,0],[1,2,0]

3.  [1,0,2],[0,5,0]

4.  [1,1,1],[-1,-1,-1]

View Answer  
4
Correct Answer :

[1,0,2],[0,5,0]


Explanation :
No Explanation available for this question

The function f(x)=x3-6x2+9x+25 has

1.  A maxima at x=1 and a minima at x=3

2.  A maxima at x=3 and a minima at x=1

3.  No maxima,but a minima at x=1

4.  A maxima at x=1,but no minima

View Answer  
4
Correct Answer :

A maxima at x=1 and a minima at x=3


Explanation :
No Explanation available for this question

The temperature field in a body varies according to the equation T(x,y)=x3+4xy.The direction of fastest variation in temperature at the point (1,0) is given by

1.  

2.  

3.  

4.  

View Answer  
4
Correct Answer :


Explanation :
No Explanation available for this question
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