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SHARAM PUBLICATION-MODEL QUESTION PAPER-18-EXERCISE
- If y = a sinx + b cos x then prove that y^2 + ((dy)/(dx))^2 = a^2 + b^...
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- Find the points on the curve y = x^3 - 11x + 5 at which the equation o...
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- Find the point P on the curve y^(2) = 4 ax, which is nearest to the po...
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- Evaluate int(x+3)(2-x) dx.
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- Evaluate int(0)^(a)(sqrt(x))/(sqrt(x)+sqrt(a-x))dx
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- int0^pi(xsinxdx)/(1+cos^2x)
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- Using integration, find the area of the region bounded by the curves ...
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- Let R is the equivalence in the set A = {0, 1, 2, 3, 4, 5} given by R ...
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- If F : R rarr R is given by f(x) = (3-x^(3))^(1//3) then find ( fof ) ...
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- Let * is the binary operation on N given by a**b=HCF (a, b), where a, ...
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- Solve: tan^(-1)x+2cot^(-1)x=(2pi)/3
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- Write the solution of the following L.P.P. Maximize z = 3x + 2y subj...
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- IF Ay is the cofactor of the element ay of the determinant |{:(2,-3,5)...
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- If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] then find the value of A^(2)-3A+2I
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- Prove that |[x+y, x, x],[5x+4y, 4x, 2x], [10x+8y, 8x, 3x]|=x^3
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- Show that: abs((a,a^2,a^3),(b,b^2,b^3),(c,c^2,c^3))=abc(a-b)(b-c)(c-a)
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- Find the inverse of [(1, 3),(2, 7)] by using elementary row operation.
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- Find the vector vecp which is perpendicular to both vecalpha = 4hati +...
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- Find a unit vector perpendicular to both of the vectors veca + vecb an...
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- Show that the lines (x+3)/2=(y+5)/3=(z-7)/-3and (x+1)/4=(y+1)/5=(z+1)/...
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