# A triangle ABC consists of vertex points A(0,0),B(1,0) and C(0,1).Value of integral ∫∫2x dx dy over the triangle is

1.  1

2.  1/3

3.  1/8

4.  -1/8

4

1/3

Explanation :
No Explanation available for this question

# Ifis

1.  2x2

2.  √x

3.  0

4.  1

4

2x2

Explanation :
No Explanation available for this question

# The magnitude of the gradient of the function f=xyz3 at (1,0,2) is

1.  0

2.  3

3.  8

4.  ∞

4

8

Explanation :
No Explanation available for this question

# For the function,φ=ax2y-y3 to represent the velocity potential of an ideal fluid,should be equal to zero.In that case,the value of ‘a’ has to be

1.  -1

2.  1

3.  -3

4.  3

4

3

Explanation :
No Explanation available for this question

# If velocity vector in a two dimensional flow field is given by,then vorticity vector,curlwill be

1.

2.

3.  Zero

4.

4

Explanation :
No Explanation available for this question

# Maximum value of the directional derivative of the function φ=2x2+3y2+5z2 at a point (1,1,-1) is

1.  10

2.  -4

3.  √152

4.  152

4

10

Explanation :
No Explanation available for this question

1.  0

2.  π

3.  π/2

4.  2

4

2

Explanation :
No Explanation available for this question

# Divergence of the vectoris

1.

2.  3

3.  0

4.  1

4

3

Explanation :
No Explanation available for this question

# What is the derivative of f(x)=|x| at x=0

1.  1

2.  -1

3.  0

4.  Does not exist

4

-1

Explanation :
No Explanation available for this question

1.  x=1

2.  x=-1

3.  x=0

4.  x=1/√3

4