(Solved): Find the equation of the level curve of the function f(x,y)=x3y that passes through the point ( ...

Find the equation of the level curve of the function $$f(x,y)=x^{3}y$$ that passes through the point $$(?2,16)$$. (Give your answer as an equation for $$y$$ in terms of $$x$$.) $$y=$$ [-/9 Points] A plane has equation $$z?2=0.1(x?5)+1.25(y?3)$$. The point $$(x,y,z)=(5,3,2)$$ lies on this plane. (a) By how much does $$z$$ increase if $$x$$ is increased by one? (Give an exact answer.) (b) By how much does $$z$$ increase if $$y$$ is increased by one? (Give an exact answer.) (c) By how much does $$z$$ increase if $$x$$ is increased by 2 and $$y$$ is increased by 4 ? (Give an exact answer.)