a tank is formed by rotating the curves y=x^2 about the y-axis for 0<=x<=4. If the tank filled with water a depth of 12 feet, how much work is performed in pumping all the water to height of 3 ft above the top of the tank ?

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

0lz try yourself sorry for not answering