Question

Help !! please !!
i'll post the pic up in a bit

Answer 1

He's right, and it can be proven with the intermediate value theorem.

Answer 2

how?

Answer 3

Suppose Shasta's temperature is \(s(t)\) and Dr. James Stewart's temperature is \(j(t)\).
Let:\[
f(t) = s(t) - j(t)
\]Let \(t_1\) be the time when Shasta is in Alaska and \(t_2\) be the time Stewart is in Alaska.

Since Shasta is colder than Stewart at \(t_1\): \[
s(t_1) < j(t_1) \implies f(t_1) < 0
\]And when Stewart is in Alaska: \[
s(t_2) > j(t_1) \implies f(t_2) >0
\]

Answer 4

ohh !!

Answer 5

Can you finish it?

Answer 6

i think i'm still going to need more help

Answer 7

Well we know that \(f(t)\) is continuous on the interval \([t_1,t_2]\).
We also know that \(f(t_1)<0<f(t_2)\).
So the intermediate value theorem claims that there must be some \(t\in [t_1,t_2]\) where \(f(t) = 0\).

Answer 8

When \(f(t)=0\) then we have: \[
f(t) = s(t)-j(t) \implies 0=s(t)-j(t)\implies j(t) = s(t)
\]

Answer 9

That is pretty much all of it.

Answer 10

let me try to understand this :D but thanks !!!