" of "f(t)=t^(3)+sqrt(2t^(2)+3sqrt(2)t-1)

if f(t)=t^(3)+sqrt(2)t^(2)+3(sqrt(2)t)-1, then evaluate f(2sqrt(2))

int(dt)/(sqrt(3t-2t^2))

If y=tan^(-1) [(sqrt(1+t^(2))+sqrt(1-t^(2)))/(sqrt(1+t^(2))-sqrt(1-t^(2)))] , find the value of (dy)/(dt) .

int(dt)/(sqrt(3t-2t^(2)))

int(dt)/(sqrt(3t-2t^(2)))

The length of latusrectum of the parabola whose parametric equations are x=t^2+t+1,y=t^2-t+1, where t in R is equal to (1) sqrt(2) (2) sqrt(4) (3) sqrt(8) (4) sqrt(6)

The length of latusrectum of the parabola whose parametric equations are x=t^2+t+1,y=t^2-t+1, where t in R is equal to (1) sqrt(2) (2) sqrt(4) (3) sqrt(8) (4) sqrt(6)

Locus of the middle points of the line segment joining P(0, sqrt(1-t^2) + t) and Q(2t, sqrt(1-t^2) - t) cuts an intercept of length a on the line x+y=1 , then a = (A) 1/sqrt(2) (B) sqrt(2) (C) 2 (D) none of these

Locus of the middle points of the line segment joining P(0, sqrt(1-t^2) + t) and Q(2t, sqrt(1-t^2) - t) cuts an intercept of length a on the line x+y=1 , then a = (A) 1/sqrt(2) (B) sqrt(2) (C) 2 (D) none of these

x=sqrt(sin 2t),y=sqrt(cos 2 t)