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Solve:Sin^-1x+sin^-1(1-x)=cos^1x...

Solve:`Sin^-1x+sin^-1(1-x)=cos^1x`

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Write a logarithmic functions which is differentiable atevery point in...

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  2. Write the equation of the tangent to the curve y=sqrt x at the point (...

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  3. Solve:Sin^-1x+sin^-1(1-x)=cos^1x

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  4. Find the following congruence classes as a set [1]3,

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  5. Find the following congruence classes as a set [3]7

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  6. Find the least positive integer r such that 114 in[r]7

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  7. Find the least positive integer r such that 506 in[r]5

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  8. Solve graphically: Maximize Z=3x+ 5y Subject to x+yle1,xge0,yge0

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  9. Express the value of "sin"^(-1)1/sqrt5 +"cos"(-1) 3/sqrt(10) in simple...

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  10. If f:XtoY and g:YtoZ be two bijective functions, then prove that (gof)...

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  11. Show that x=2 is a root of [[x,-6,-1],[2,-3x,x-3],[-3,2x,x+2]]=0 S...

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  12. Find A if A^(-1)=[(3,-5),(-1,2)]

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  13. If A=[{:(1,-2,2),(3,1,-1):}]andB=[{:(2,4),(1,2),(3,-1):}] , then veri...

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  14. Find B if B^(2)=[{:(17,8),(8,17):}]

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  15. Prove that:|[1, a ,a^2],[a^2, 1 ,a],[a, a^2, 1]| is a perfect square.

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

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  17. If y=tan^(-1)(cosx/(1+sinx)),then prove that dy/dx=-1

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  18. Let f(x)={(1/(x+[x]),if xlt0),(-1,if xge0):} Examine the continuity of...

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  19. Show that the function e^x/x^p is strictly increasing for x gt p gt 0.

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  20. Find the equation of tangents and normals to the parabola y^2=4ax at t...

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