Show that `x=-2sqrt2` is the solution of

Show that the function ,y, defined by y(x) = sqrt(1+x^(2)) (x in R) is the solution of (1+x^(2))y' = xy

Show that, sec x = 2/sqrt(2+sqrt2 + 2 cos 4 x)

Show that the equation sin x(sin x+cos x)=a has real solution if and only if a is a real number lying between (1)/(2)(1-sqrt(2)) and (1)/(2)(1+sqrt(2))

The values of a for which the equation sqrt(a)sin x-2cos x=sqrt(2)+sqrt(2-a) has solutions are

The set of values of 'a' for which the equation sqrt(a) "cos" x -2 "sin" x = sqrt(2) + sqrt(2-a) has a solution is

The set of values of 'a' for which the equation sqrt(a) "cos" x -2 "sin" x = sqrt(2) + sqrt(2-a) has a solution is

Show that the roots of each of the following quadratic equations are complex numbers. Find the solutions in each case. sqrt3x^2+x+sqrt3=0

Show that Lt_(x to-2) sqrt(x^(2)-4)=0= Lt_(x to 2) sqrt(x^(2)-4)

Show that: int_(0)^(2)sqrt(tan x)+sqrt(cot x)=sqrt(2)pi

Show that : int sqrt (1+ cos x ) dx = 2 sqrt(2) sin. x/2 + c