`x=tcost ,y=t+sintdot` Then `(d^(2x))/(dy^2)a tt=pi/2` is `(pi+4)/2` (b) `-(pi+4)/2` `-2` (d) none of these

x=t cos t,y=t+sin t. Then (d^(2)x)/(dy^(2)) at t=(pi)/(2) is

x=a cos t,y=a sin t then (d^(2)(y))/(dx^(2)) at t=(pi)/(3),(pi)/(6),(pi)/(2),(pi)/(4)

If 2 sin x. cos y=1, then (d ^(2)y)/(dx ^(2)) at ((pi)/(4), (pi)/(4)) is …….

The value of c in Lagranges theorem for the function f(x)=log sin x in the interval [(pi)/(6),(5 pi)/(6)] is (pi)/(4) (b) (pi)/(2)(2 pi)/(3) (d) none of these

int_0^pi cos2xlogsinxdx= (A) pi (B) -pi/2 (C) pi/2 (D) none of these

int_(0)^(oo)(xdx)/((1+x)(1+x^(2))) is equal to (A)(pi)/(4) (B) (pi)/(2)(C)pi(D) none of thesel

If y=cos^(-1)((1)/(2sin x)) then (d^(2)y)/(dx^(2)) at ((pi)/(4),(pi)/(4)) is

If x=sint-tcost" and "y=tsint+cos t . then what is (dy)/(dx) at point t=(pi)/(2) ?

If y=(log)_(sin x)(tan x),then(((dy)/(dx)))_((pi)/(4)) is equal to (a) (4)/(log2)(b)-4log2(c)(-4)/(log2)(d) none of these

The range of f(x)=sin^(-1)((x^(2)+1)/(x^(2)+2)) is [0,(pi)/(2)] (b) (0,(pi)/(6))( c) [(pi)/(6),(pi)/(2)](d) none of these