Water runs into a conical tank at the rate of 9 ft 3/min. the tank is standing, inverted, and has a height of 10 feet and a base diameter of 10 feet. At what rate is the radius of the water in the tank increasing when the radius is two feet

0.36ft/min

Step-by-step explanation:

We are given that

Diameter of  tank,d=10ft

Radius,

Height of tank,h=10 ft

We have to find the rate at which radius of the water in the tank increasing when r=2 ft

Volume of conical tank=

Substitute the values

Differentiate w.r.t t

Substitute the values

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph