Find atleast two equations of the straight lines in the family of the lines y=5x b, for which b and the x coordinate of the point of the intersection of the lines with 3x-4y=0 are integers
. Evaluate ∫_1^4▒〖(x〗^2 -x)dx as the limit of a sum. 22.∫_0^π▒(x dx)/(a^2 〖cos〗^2 x+b^2 〖sin〗^2 x)
Let x,y,z be three non-negative integers such that x+y+z=10.What is the maximum possible value of xyz+xy+yz+zx ?