Water is leaking out of an inverted conical tank at a rate of 0.0081 m3/min. At the same time water is being pumped into the tank at a constant rate. The tank has height 12 meters and the diameter at the top is 4 meters. Find the rate at which water is being pumped into the tank.

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?

Given right triangle abc, what is the value of tan(a)?