Find the arclength of the curve \mathbf r(t = \langle 6 t^2, 2\sqrt{6} t, \ln t\rangle, 1 \le t \le 4

For [tex]f(x) = 4x+1[/tex] and [tex]g(x) = x^{2} -5[/tex] find [tex](f[/tex] ° [tex]g)[/tex][tex](4)[/tex]

An energy plant is looking into putting in a system to remove harmful pollutants from its emissions going into earth's atmosphere. the cost of removing the pollutants can be modeled using the function c = 25000p/100 -p what is the vertical asymptote?

Can someone pls ! pls answer all. no explanation needed..