Let `f(x)=x^(2)-2sqrt((sinsqrt(3)-sinsqrt(2)))x-(cossqrt(3)-cos sqrt(2))`

(sinsqrt(x))/(sqrt(x))

Solve : (sqrt(3)+sqrt(2))^(x)+(sqrt(3)-sqrt(2))^(x)=10

int(sinsqrt(x))/(sqrt(x))dx

Solve (sqrt(3) + sqrt(2))^(x) +(sqrt(3)-sqrt(2))^(x)=10

Let f(x)=sqrt(1+x^(2)) then

A beam of light is sent along the line x-y=1 , which after refracting from the x-axis enters the opposite side by turning through 30^0 towards the normal at the point of incidence on the x-axis. Then the equation of the refracted ray is (a) (2-sqrt(3))x-y=2+sqrt(3) (b) (2+sqrt(3))x-y=2+sqrt(3) (c) (2-sqrt(3))x+y=(2+sqrt(3)) (d) y=(2-sqrt(3))(x-1)

The values of parameter a for which the point of minimum of the function f(x)=1+a^2x-x^3 satisfies the inequality (x^2+x+2)/(x^2+5x+6)<0a r e (2sqrt(3),3sqrt(3)) (b) -3sqrt(3),-2sqrt(3)) (-2sqrt(3),3sqrt(3)) (d) (-2sqrt(2),2sqrt(3))

Solve sqrt(3)x^(2) - sqrt(2)x + 3sqrt(3)=0

("lim")_(xvec2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(x)-sqrt(2)))^(-1))i se q u a lto a) 1/2 (b) 2 (c) 1 (d) none of these

("lim")_(xvecoo)(2sqrt(x)+3sqrt(x)+4sqrt(x)+...+nsqrt(n))/(sqrt((2x-3))+(sqrt(2x-3))+....+(sqrt(2x-3)) i se q u al to 1 (b) oo (c) sqrt(2) (d) none of these