Classical

Calculus - Calculus MCQ

31:  

The function f(x) = x3 - 6x2 + 3x + 25 has

A.

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

B.

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

C.

no maxima, but a _minima at x = 1

D.

a maxima at x = 1, but no minima

 
 

Option: A

Explanation :

f ' (x) = 3(x2 - 4x + 3), f '' (x) = 6(x) - 12
At     x = 1, f "(1)
At     x = 3, f " (3) = + ve 


32:  

 Integration ∫ log x dx has the value

A.

x log x - 1

B.

log x - x

C.

x(log x -1)

D.

none of these

 
 

Option: B

Explanation :

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33:  

The integral

calculus questions for exams

A.

diverges

B.

converges to 1/3

C.

converges to  - 1 / a3

D.

converges to 0

 
 

Option: B

Explanation :

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