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- Evaluate, int0^(pi//4)sinxdx
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- Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...
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- solve:e^-x(d^2y)/dx^2=x
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- Find the scalar and vector projections of the vector 2hati-3hatj-6hatk...
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- In any triangle ABC, prove by vector method that frac[a][sinA]=frac[b]...
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- Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.
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- Find the image of the point (3,5,7) with respect to the plane 2x+y+z=6...
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- A variable plane is at a constant distance p from the origin and meets...
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- Give an example of a relation f such that f = f^(-1)
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- If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...
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- Solve the following LPP graphically Optimize Z=5x1+25x2 subject to -0....
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- Prove that the following. |[(v+w)^2,u^2,u^2],[v^2,(w+u)^2,v^2],[w^2,w...
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- Find the inverse of the matrix abs[[3,-2,3],[2,1,-1],[4,-3,2]]
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- If A=abs[[1,2,0],[1,1,0],[-1,4,0]],B=abs[[1,2,3],[1,1,-1],[4,-3,2]] a...
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- If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...
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- Find the coordinates of the point on the curve x^2y - x + y = 0 wher...
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- Evaluate intln(x^2+x+2)dx
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- Evaluate int0^1frac[ln(1+x)][1+x^2]dx
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- Solve the differential equation. x(x+y)dy=(x^2+y^2)dx
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- If veca,vecb,vecc are three mutually perpendicular vectors of equal ma...
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