If $$f(x)=2x^3-15x^2-144x-7$$, then $$f(x)$$ is strictly decreasing in

The equation of the plane that contains the line of intersection of the planes. $$x+2 y+3 z-4=0$$ and $$2 x+y-z+5=0$$ and is perpendicular to the plane $$5 x+3 y-6 z+8=0$$ is

If the sum of mean and variance of a binomial distribution for 5 trials is 1.8, then probability of a success is

$$y=\sqrt{e^{\sqrt{x}}}$$, then $$\frac{d y}{d x}=$$