Q.1. Show that ∫01 dx/√(-logx) =√π
Q.2. Determine the set of all points where the fn f (n) = is differentiable.
Q.3. If u=y2/2x , v=x/2+y2/2x find ∂(u,v)/ ∂(x,y) .
Q.4. Find the envelope of the family of straight line y = mx+a , the parameter being
M.
Q.5. Discuss the continuity of the functions:
f (x) = Cos ( ), when x o, f (o) = 0
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