Classical

Calculus - Calculus MCQ

21:  

Value of 'c' of the mean value theorem for the function f(x) = x(x - 2), when a = 0, b = 3/2, is

A.

3/4

B.

1/2

C.

3/2

D.

1/4

 
 

Option: A

Explanation :

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22:  

If f(x , y) = x2 + y2, then ∇2 f is

A.

4

B.

2

C.

0

D.

4(x + y)2

 
 

Option: A

Explanation :

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23:  

The value of integral 

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A.

0

B.

0.25

C.

1

D.

 
 

Option: C

Explanation :

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24:  

 Angle between two unit-magnitude coplanar vectors P(0.866, 0.500, 0) and Q(0.259, 0.966, 0) will be

A.

00

B.

300

C.

450

D.

600

 
 

Option: C

Explanation :

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25:  

Area bounded by the parabola 2y = x2 and the line x = y - 4 is equal to 

A.

6

B.

18

C.

D.

none of these

 
 

Option: B

Explanation :

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