r 12 hour time interval, the temperature in the greenhouse, T, at time t hours is given by the rule: T(t)= -0.1t(t-3)(t-12)+10 for t ∈ [0.12]
a. State the minimum temperature in the greenhouse and the time when this occurs.
b. Hence state the range of temperatures occurring in the greenhouse over the 12 hour period.
c. For how many hours during the 12 hour time interval is T ≥ 20.
I'm able to use a CAS to answer the question but I have no idea where to start. Please help
't change, but throughout the night the height of the mattress is decreasing. The rate at which it decreases varies over time: at the beginning it is just shrinking a tiny bit, but after a while it starts shrinking faster. If the height of the of the mattress follows the formula h=18-0.2x^2, where h is the height in inches and x is the time in hours, and the length of the mattress is always 74 inches, and the width of the air mattress is always 54 inches, please find the rate at which the VOLUME of the air mattress is changing after 2 hours. V ' =
cubic inches per hour after 2 hours. (Round to one decimal place, but take a picture of your work and send it to me if you're worried your answer might be slightly off.)