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If y = f(x^2) and f'(x) = e^(sqrtx), the...

If `y = f(x^2)` and `f'(x) = e^(sqrtx)`, then find `(dy)/(dx)`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. The function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both...

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  2. If the radius of the circle is increasing at the rate of 0.5 cm/s , th...

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  3. If y = f(x^2) and f'(x) = e^(sqrtx), then find (dy)/(dx)

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  4. A card from a pack of 52 cards is lost. From the remaining cards of ...

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  5. Find the coordinates of the point where the line (x-1)/3 = (y+4)/7 = (...

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  6. the coordinates of the foot of the perpendicular drawn from the point ...

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  7. Using the method of integration find the area of the triangle ABC, co...

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  8. Find the value of k, so that the function f(x) = {(kx^2 + 5, if x le 1...

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  9. The interval in which the function f given by f(x) = x^2 e^(-x) is str...

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  10. Find: int((tan^(3)x)/(cos^(3)x)) dx

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  11. The angle between the vectors hat i -hat j and hat j - hat k is (A)...

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  12. A fair dice is thrown two times. Find the probability distribution of ...

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  13. Find the angle between unit vector veca and vecb so that sqrt(3) veca ...

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  14. Find the area, lying above the x=axis and included between the circle ...

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  15. The range of the principal value branch of the function y= sec^(-1)x i...

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  16. The corner points of the feasible region of an LPP are (0,0), (0,8), (...

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  17. The distance between parallel planes 2x+y-2z-6=0 and 4x+2y-4z=0 isunit...

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  18. Find the principal value of: cos^(-1)(-1/2)

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  19. Show that the plane x-5y-2z =1 contains the line (x-5)/3 = y = 2- z

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  20. If x, y, z are different and Delta=|[x, x^2, 1+x^3],[y, y^2, 1+y^3],[...

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