Ahollow cone has height 5 feet and radius 2 feet. the vertex of the cone is pointed down so that it can serve as a container. water is poured into the cone at the rate 3/2 cubic feet per second. at what rate (in feet per second) is the depth of the water increasing when the depth of the water is 3 feet?

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? define a variable for the situation. write an inequality that represents the situation. solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

Given f(x) = 2x^2- 5x+1, determine the function value f(2). do not f(x) = in your answer

Find parametric equations for the line tangent to the curve of intersection of the surfaces at the given point. surfaces: xsquared2plus+2yplus+2zequals=1212 yequals=33 point: left parenthesis 1 comma 3 comma five halves right parenthesis