Answer:
The absolute minimum value is "
" and the absolute maximum value is "
".
Step-by-step explanation:
Given:
on,
![[0,5]](https://tex.z-dn.net/?f=%5B0%2C5%5D)
By differentiating it, we get
⇒ 
Set 
then,
⇒ 
(Critical point)
When x=0,
⇒ 
When ,
⇒ 
(Absolute minimum)
When 
⇒ 
(Absolute maximum)
(-3,2) (0,0) i think. it’s been a whole
Answer: You need to wait at least 6.4 hours to eat the ribs.
t ≥ 6.4 hours.
Step-by-step explanation:
The initial temperature is 40°F, and it increases by 25% each hour.
This means that during hour 0 the temperature is 40° F
after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:
T = 40° F + 0.25*40° F = 1.25*40° F
after another hour we have another increase of 25%, the temperature now is:
T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2
Now, we can model the temperature at the hour h as:
T(h) = (40°f)*1.25^h
now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.
So we have:
(40°f)*1.25^h = 165° F
1.25^h = 165/40 = 4.125
h = ln(4.125)/ln(1.25) = 6.4 hours.
then the inequality is:
t ≥ 6.4 hours.
Volume of cylinder= pi x (radius)2 x height
= 3.14 x (2)2 x 5
=62.8 cubic cm
