Processing math: 50%




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6.

1x2(x4+1)3/4dx   is equal to


A) (1+1x4)1/4+C

B) (x4+1)1/4+C

C) (11x4)1/4+C

D) (1+1x4)1/4+C



7.

If y= 2x/Inx   then  dydx    at x=e   is 


A) e

B) 2eloge

C) loge

D) 0



8.

 If f(x)=(1+x)2/x  for x≠0 and f(0)= e2 is


A) left continuous only at x=0

B) right continuous at x=0

C) continuous x=0

D) discontinuous at x=0



9.

The solution of the equation  \cos^{2}\theta+\sin^{2}\theta+1=0   , lies in the interval


A) \left(-\frac{\pi}{4},\frac{\pi}{4}\right)

B) \left(\frac{\pi}{4},\frac{3\pi}{4}\right)

C) \left(\frac{3\pi}{4},\frac{5\pi}{4}\right)

D) \left(\frac{5\pi}{4},\frac{7\pi}{4}\right)



10.

The number of common tangents to the circles 

x^{2}+y^{2}-6x-14y+48=0   and  x^{2}+y^{2}-6x=0 is 


A) 1

B) 2

C) 0

D) 4



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