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If f(x)=x^(3/2) then...

If `f(x)=x^(3/2)` then

A

f'(0) and f''(0) both exist

B

none of f'(0) and f''(0) exists

C

f'(0) exists but f''(0) does not exists

D

none of these

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UNITED BOOK HOUSE-SET 2-EXERCISE
  1. The value of tan cot^(-1)(-4/3)is

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  2. If the matrix A is both symmetric and skew symmetric then

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  3. If f(x)=x^(3/2) then

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  4. If f(x) is an add function then overset(a)undert(-a)f(x)dx is equal to

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  5. The value of overset (pi) int underset(0)''cosx|dx is

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  6. If |mveca|=1 then which of the following is true?

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  7. The lines (x-2)/1=(y-3)/1=(z-4)/-k and (x-1)/k=(y-4)/2=(z-5)/1 are co...

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  8. The probability of getting 11 when an ordinary die is thrown twice is

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  9. If in a biomial distribution n=4, P(x=0) = 16/81 then the value of P(x...

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  10. Prove that , 2tan^(-1)x= cos^(-1) (1-x^2)/(1+x^2).

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  11. Evaluate: |[1,a,bc],[1,b,ca],[1,c,ab]|

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  12. Show that function f(x) = 2x-|x| is continous at x=0.

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  13. Evaluate: overset(2)underset(1)int logx dx

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  14. Find the order of the differential equation ((d^4y)/(dx^4))^3-(d^3y...

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  15. Prove that the function f(x) = x+1/x(x!=0) is decreasing for all x in ...

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  16. Determine the area bounded by rectangular hyperbola xy=c^2 the x-axis ...

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  17. The direction agnles of a straight line are 120^@,45^@,30^@. Is the s...

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  18. Find K, for which the two planes x+ky+5z+2=0 and 3x-2y+kz-1=0 are perp...

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  19. Prove that, if P(A//B)=P(A) then P(A^c//B)=P(A^c).

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  20. Find the probability of guessing correctly at least 5 of the eight ans...

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