Question

You are given the following graph of dP/dt.

Use the figure above and the fact that P(0) = 30 to find the values below.

Answer 1

i am going to guess that \(P(1)=29\) since the integral for that function from 0 to 1 is -1

Answer 2

yes you are correct

Answer 3

how would you go about doing the rest?

Answer 4

did you see how i got the -1?

Answer 5

i know p(2) would be 28

Answer 6

not quite...

Answer 7

you got a square with base 1 height 1 area 1, but below the x axis so -1

Answer 8

ohhh okay

Answer 9

so how would you go about doing p(3)?

Answer 10

\[P(0)=30\\
P(1)=30-1=29\\
P(2)=29-1=28\\
P93)=28-.5=27.5\]

Answer 11

so p(3) = (1/2)*bh which is 1/2(-1*1)

Answer 12

thats how you get the .5 and you just subtract it from the previous value?

Answer 13

yes

Answer 14

got it!! thank you!!

Answer 15

yw