An empty building's temperature on a cold morning drops to 48 degree at 1: 00 a. m. at that time the furnace is turned on with the thermostat set at 66 degree. the time constant for the building is 2 hours and for the building along with its heating system is 1/4 hour. assuming that the outside temperature varies as a cosine wave with a maximum 54 degree at 1: 00 p. m. and a minimum of 27 degree at 1: 00 a. m., set up the initial value problem (with initial condition) that describes this problem. do not solve this ivp.

1; 35 is the ratio

step-by-step explanation:

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

(-5,-28)

i graphed to on desmos.

step-by-step explanation: