Tony's blood pressure can be modelled using the function P(t)=1000(sin t)(e^-2t), where 0 ≤ t ≤ 2 minutes. His body is stabilized after reaching a high. What is the highest blood pressure(nearest whole number) reached?

Answer 1

P = 1000 e^-2t sint
P' = 1000 e^-2t (cost - 2sint)
you need P'=0, so when is cost = 2sint in your domain?

Answer 2

I can't find t. When I tried, I got t=27, but when I graphed it, it show t=0.464

Answer 3

never mind, my calculator was in deg mode

Answer 4

Hi,
May I know how you got P' = 1000 e^-2t (cost - 2sint)?
I applied the product rule and I got P'(t)=1000(e^-2t cos(t) - 2e^-2t sin(t)), then I got stucked.
Can you please help me with this?
Thank you.

Answer 5

How do you solve for t?