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Find (dy)/(dx), when y^(x)=x^(siny)...

Find `(dy)/(dx)`, when `y^(x)=x^(siny)`

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SHARAM PUBLICATION-MODEL QUESTION PAPER -1-EXERCISE
  1. Find the inverse of the matrix [{:(2,5),(1,3):}]

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  2. Find the value of [[1,a,b+a],[1,b,c+a],[1,c,a+b]].

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  3. Find (dy)/(dx), when y^(x)=x^(siny)

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  4. Show that f(x)=|x| is continuous at x=0 but not deferentiable at x=0.

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  5. If sin y=(2t)/(1 + t^2),cos x= 1/(sqrt(1+t^2)) then show that (dy)/(dx...

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  6. Find the interval where the function f(x) = sin x + cos x, x in [0, 2p...

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  7. Show that no two normals to a parabola are parallel.

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  8. int(cos2x-cos2alpha)/(cosx-cosalpha)dx

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  9. Integrate: int0^(3/2)[x^2]dx

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  10. Solve : (x+y)dy +(x-y)dx = 0.

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  11. Solve: (x^2-1)dy/dx+2xy=1

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  12. If the sum of two unit vectors is a unit vectors find the magnitude of...

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  13. If veca, vecb and vecc are mutually perpendicular, show that [veca.(ve...

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  14. Find the direction cosines of the line (x + 2)/2 = (2y-7)/6 = (5 -z)/...

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  15. Find the equation of a plane biscting the line segment joining (-1,4,3...

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  16. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

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  17. If (cosx)^(y)=(cosy)^(x), then find (dy)/(dx).

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  18. Evaluate int0^pi x/(a^2 cos^2 x + b^2 sin^2 x) dx

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  19. Find the area bounded by the curve y = sin x from x = 0 to x = pi.

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  20. Show that the inverse of a bijective function is unique.

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