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Evaluate, int0^(pi//4)sinxdx...

Evaluate, `int_0^(pi//4)sinxdx`

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USHA PUBLICATION-PRACTICE PAPER-PRACTICE PAPER
  1. Evaluate, intfrac[1][(2-x)sqrt(5-4x+x^2)]dx

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  2. Evaluate intfrac[2cosx+7][4-sinx]dx

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  3. Evaluate, int0^(pi//4)sinxdx

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  4. Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...

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  5. solve:e^-x(d^2y)/dx^2=x

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  6. Find the scalar and vector projections of the vector 2hati-3hatj-6hatk...

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  7. In any triangle ABC, prove by vector method that frac[a][sinA]=frac[b]...

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  8. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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  9. Find the image of the point (3,5,7) with respect to the plane 2x+y+z=6...

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  10. A variable plane is at a constant distance p from the origin and meets...

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  11. Give an example of a relation f such that f = f^(-1)

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  12. If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...

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  13. Solve the following LPP graphically Optimize Z=5x1+25x2 subject to -0....

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  14. 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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  15. Find the inverse of the matrix abs[[3,-2,3],[2,1,-1],[4,-3,2]]

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  16. 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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  17. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

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  18. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

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  19. Evaluate intln(x^2+x+2)dx

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  20. Evaluate int0^1frac[ln(1+x)][1+x^2]dx

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