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Find the tangent to the curve `y = cos (x + y), 0 le x le 2pi` which is parallel to the line x + 2y = 0

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USHA PUBLICATION-PRACTICE PAPER-PRACTICE PAPER
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  2. If ysqrt(x^2 +1) = log{sqrt(x^2 +1)- x} then prove that (x^2 +1) dy/dx...

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  3. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  4. Find the intervals where the function f(x)=tanx-4(x-2) is increasing a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. 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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  19. Find the inverse of the matrix abs[[3,-2,3],[2,1,-1],[4,-3,2]]

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  20. 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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