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Using integration calculate the area of the region bounded by the two parabolas `y=x^2\ ` and `x=y^2`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Find the value of k for which the function f(x)={k x+5, if\ x\ lt=2x-...

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  2. Solve the following differential equation : ("x"^2-1)"dy"/("dx")+2"x...

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  3. Using integration calculate the area of the region bounded by the t...

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  4. Evaluate int0^2(2x^2+\ x+5)dx as limit of a sum.

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  5. Solve the following differentia equation: ("y"^2-"x"^2)"dy"=3"x ydx...

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  6. Verify that "y"="A c o s x"-"B s i nx" is solution of the differenti...

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  7. A window is in the form of a rectangle surmounted by a semi-circle....

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  8. An open box, with a square base, is to be made out of a given quantity...

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  9. Find the intervals in which the function f(x)=x^3-12x^2+36x+17 is (a)...

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  10. Evaluate: int sqrt(tan theta d theta"\)

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  11. Using matrices, solve the following system of equations: 3x-y+z=5 ,...

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  12. Differentiate " "sqrt("tan x")" w"dot"r"dot"t"dot x from first princi...

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  13. Evaluate: (lim)(xvecoo)sqrt(x^2+x+1)-x

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  14. Prove that int"o"^"a""f"("x")"dx"=""int"o"^"a""f "("a"-"x")"dx"dot

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  15. Evaluate : int("x"^2+1)/(("x"+1)^2)"dx"

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  16. Evaluate : int("dx")/("x"^3+"x"^2+"x"+1)

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  17. Evaluate int0^2("x"^2+"\ x"+2) as lim it of sums.

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  18. Find the area of the region bounded by the parabola "x"^2=4"y\ " an...

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  19. Find the coordinates of the point where the line ("x"+1"")/2=("y"+2...

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  20. Using properties of determinants, prove the following |(3a,-a+b,-a+c),...

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