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if x0 in.norm space x is. such that |f(x0)|<= c for all.f€x' of norm 1 show that ||x0||=<c
show that absolute value of. a linear functional has properties of sublinear functional
Does N satisfy the Archimedean property ? Justify your answer
Find all the asymptototes of the curve x^3 + y^3 = 3axy
Check whether the function is periodic or not f(x)= cosec2x + cotx .If it is periodic then find it's period
Find the length of the curve, 2y^2 = x^3 from the vertex (0,0) to the point (4,4√2)
Find the surface area of the solid formed by the rotation of an arc of the cycloid x = a(theta + sin theta), y = a(1+ cos theta) about the x - axis
Determine the points of inflection of the curve y = x^4 - 4x^3 - 18x^2 + 1
The graph of the function, y=x+|x| is strictly increasing or decreasing
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