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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
- Using integration calculate the area of the region bounded by the t...
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- Evaluate int0^2(2x^2+\ x+5)dx as limit of a sum.
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- Solve the following differentia equation: ("y"^2-"x"^2)"dy"=3"x ydx...
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- Verify that "y"="A c o s x"-"B s i nx" is solution of the differenti...
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- A window is in the form of a rectangle surmounted by a semi-circle....
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- An open box, with a square base, is to be made out of a given quantity...
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- Find the intervals in which the function f(x)=x^3-12x^2+36x+17 is (a)...
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- Evaluate: int sqrt(tan theta d theta"\)
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- Using matrices, solve the following system of equations: 3x-y+z=5 ,...
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- Differentiate " "sqrt("tan x")" w"dot"r"dot"t"dot x from first princi...
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- Evaluate: (lim)(xvecoo)sqrt(x^2+x+1)-x
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- Prove that int"o"^"a""f"("x")"dx"=""int"o"^"a""f "("a"-"x")"dx"dot
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- Evaluate : int("x"^2+1)/(("x"+1)^2)"dx"
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- Evaluate : int("dx")/("x"^3+"x"^2+"x"+1)
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- Evaluate int0^2("x"^2+"\ x"+2) as lim it of sums.
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- Find the area of the region bounded by the parabola "x"^2=4"y\ " an...
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- Find the coordinates of the point where the line ("x"+1"")/2=("y"+2...
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- Using properties of determinants, prove the following |(3a,-a+b,-a+c),...
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- Solving the following differentia equation: "s i n x"("dy")/("dx")...
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- Express the matrix as A=[(1,3,5),(-6,8,3),(-4,6,5)] the sum of a symme...
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