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A window is in the form of a rectangl...

A window is in the form of a rectangle surmounted by a semi-circle. If the total perimeter of the window is `30"\ m",` find the dimensions of the window so that maximum light is admitted.

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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  2. Verify that "y"="A c o s x"-"B s i nx" is solution of the differenti...

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

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

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

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

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

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

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

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

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

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  17. Solving the following differentia equation: "s i n x"("dy")/("dx")...

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  18. Express the matrix as A=[(1,3,5),(-6,8,3),(-4,6,5)] the sum of a symme...

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  19. Evaluate : int(2"x"dot"tan"^(-1)x)/(1+"x"^4)" dx"

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  20. Two cards are drawn successively with replacement from a well shuff...

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