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- int(pi/5)^(3pi/10) (sinxdx)/(sinx+cosx)
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- Find the area of the region bounded by y=6x-x^2x-axis and between ordi...
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- Solve : (dy)/(dx)= sin(x+y)+cos(x+y)
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- From a differential equation from the equation y=ae^(2x)+be^(-x) by el...
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- Prove the following by vector method. An angle inscribed in a semi-cir...
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- Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...
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- If the sum of two unit vectors is a unit vector, show that the magnitu...
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- Prove that the two lines whose direction cosines are connected by the ...
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- passing through the point (-1,3,2) perpendicular to the planes x+2y+...
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- Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...
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- If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...
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- Solve the following LPP graphically Maximize z=20x1+10x2 Subject to x1...
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- Solve the following system of equations by the matrix inversion method...
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- Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...
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- If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...
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- If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...
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- Find the altitude of a right circular cylinder of maximum volume inscr...
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- Evaluate intfrac[dx][cosx(1+2sinx)]
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- Find the area of the regions into which the circle x^2+y^2=4 is divide...
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- Prove the following by vector method. Altitudes of a triangle are conc...
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