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If y=sin^2 (x^3), then (dy)/(dx) is equa...

If `y=sin^2 (x^3)`, then `(dy)/(dx)` is equal to

A

`2 sin x^3 cos x^3`

B

`3x^3 sin x^3 cos x^3`

C

`6x^2 sin x^3 cos x^3`

D

`2x^2 sin^2 x^3`

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XII BOARDS PREVIOUS YEAR-QUESTION PAPER 2023-Question
  1. A unit vector along the vector 4hati-3hatk is

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  2. Which of the following points satisfies both the inequalities 2x+y le1...

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  3. If y=sin^2 (x^3), then (dy)/(dx) is equal to

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  4. The point (x,y,0) on the xy-plane divides the line segment joining the...

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  5. The events E and F are independent. If P(E)=0.3 and P(E uu F)=0.5, the...

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  6. The integrating factor for solving the differential equation x (dy)/(...

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  7. Assertions (A) :The line vecr=vec(a1)+lamda vec (b1) and vecr=vec(a2)+...

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  8. Assertions (A): All trigonometric functions have their inverses over t...

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  9. If xy=e^(x-y), prove that (dy)/(dx)=(y(x-1))/(x(y+1)).

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  10. Find the domain of y=sin^-1(x^2-4)

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  11. Evaluate : cos^-1[cos(-(7pi)/(3))]

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  12. If the projection of the vector hati+hatj+hatk on the vector p hati+ha...

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  13. Find the point on the curve y^2=8x for which the abscissa and ordinate...

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  14. Find the vector equation of the line passing the point (2,1,3) and per...

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  15. The equation of a line are 5x-3=15y+7=3-10z. Write the direction cosin...

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  16. Find int(2)/((1-x)(1+x^2))dx

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  17. Evaluate int(1/3)^1 (x-x^3)^(1/3)/x^4dx

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  18. Evaluate : int1^3 {abs(x-1)+abs(x-2)}dx

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  19. Maximize Z = 5x + 3y subject to the constraints: 3x + 5y le 15, 5x + 2...

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  20. From a lot of 30 bulbs which include 6 defective bulbs, a sample of 2 ...

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