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Calculus - Calculus MCQ

41:  

 The value of ξ in the mean value theorem of 
       f(b) - f(a) = (b - a)f' (ξ)
for f(x) = Ax2 + bx + C in (a, b) is

A.

b + a

B.

b - a

C.

b plus a by2

D.

b minus a by 2

 
 

Option: C

Explanation :

calculus question explanation

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42:  

The function, y = x2 + 250 / x = 5 at x = 5

A.

maxima

B.

minima

C.

maxima nor minima

D.

1

 
 

Option: B

Explanation :

calculus question answer explanation

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43:  

If a function is continuous at a point, then its first derivative

A.

may or may not exist

B.

exists always

C.

will not exist

D.

has a unique value

 
 

Option: D

Explanation :

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