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evaluate the integral ∫ dx/(3+4x^2)(square root of (4-3x^2)
evaluate the integral ∫ dx/1+cos x
Trace the following curves. Give all the properties that are necessary for doing so. (1) y^2 = (x-1)(x-2)(x-3) , (2) y^2(x-2) = x^2 (x+a);a>0
if cos^-1(y/b)=log(x/n)^n , then show that x^2 y tto the base n+2 +(2n+1)x y to the base n+1 +2n^2 y to the base of n = 0
find the n^th derivative of x/x^2 +a^2 .
If f(x)=(1/x)x , find f ``(1).
Find lim x->infinite 2/x.
Check whether the function f : R→R given by f (x) =| x | −[x], is a bijective. Give reasons for
your answers.
Show that f, given by
f(x)={ x sin 1/x,x not equal to zero, 0,x=0 is continuous at each point of R.
Find the angle between the y-axis and the tangent to the hyperbola xy =1 at (1, 1).
