Question

I have the answer can someone please see if I did this right....
Suppose we have partially filled water tank and water begins entering the tank. The amount of water, in gallons in the tank is given by w(t), where t is the number of minutes after water began entering the tank. The graph above is of
w'(t), the rate at which water is entering the tank in gallons/minute. Find and interpret

Answer 1

Comes after the word interpret ing the equation\[\int\limits_{0}^{20}w'(t) dt\]

Answer 2

find the equation for w'(t) based on the graph then take the definite integral W(20)-W(0)

Answer 3

ok I am still a little confused how do you find the w'(t)

Answer 4

can you help me out I am totally lost I thought I knew what I was doing but I guess not

Answer 5

are you still there

Answer 6

I already told you what to do? you find w'(t) by looking at the graph and finding the equation.

Answer 7

so what if I have

Answer 8

Can someone please help me

Answer 9

@e.mccormick can you help me step by step please I am desperate

Answer 10

I was trying that in the other posting. Let me desctribe the stps, then we can work on them. Perhaos if they are all outlind first we will make it this time.

1) Use the graphy to find w'(t), realizing that w'(t) wll be a piecewise fnction because it changes in sharp angles.

2) set up three integrals, one for each piece of the piecewise function.

3) Integrate them.

Answer 11

so the integrals would be