The average high temperature in Phoenix is 106F. The average low is 84F. Write a cosine function representing the temperature over a 1 day cycle that begins at the high temperature.

2. a) Find the average rate of change of the function f(e) 3r2 on the interval I-5,-3). Average Monthly Temperature for Odessa The function given by y- f(x) shows the average monthly tem perature (°F) for Odessa. The value of z is the month c (9,63) 60) b) number and a 1 represents January. Find the average rate of change in temperature between months 3 and 5 (March and May). -十一(11,42) Month (r-1 represents January)

The graph in Figure 1 gives the average daily temperature (in °F) in Athens, Georgia as a function of the number of days since June 15th. Provide a verbal description of the average daily temperature in Athens over the course of the year, and write a model (formula) for this function. Be sure to clearly define the variables you use in the model. Figure 1: Average daily temperatures temperature (degrees Fahrenheit) number of days since June 15 100

Newton's law of cooling indicates that the temperature of a warm object, such as a cake coming out of the area, will decrease exponentially with time and will approach the temperature of the surrounding air. The temperature T(t) is modeled by T(t) = T_a + (T_0 - T_alpha)e^-kt, In this model, T_a represents the temperature of the surrounding air; T_0 represents the initial temperature of the object, and t is the time (in minutes) after the object starts cooling. The value of k is a constant of proportion relating the temperature of the object to its rate of temperature change. A cake comes out of the oven at 375 degree F and is placed on a cooling rack in a 78 degree F kitchen. After checking the temperature several minutes later inside the heater, the value of k is measured as 0.046. a. Write a function that models the temperature T(t) (in degree F) of the cake t minutes after being removed from the oven. The model for the temperature of the cake is T(t) = .