Growth and decay multiple choice questions. I don't understand at all, i need some help understanding these
Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t) be the temperature of the object being heated and S be the surrounding temperature. A cold Turkey at 35 degrees is placed in an oven at 350 degrees Fahrenheit, and after 30 minutes the turkey is 50 degrees. Write and solve the differential equation WhiCh describes the temperature 0f the turkey over time, where time is measured in hours. O H\") = 35 _ 31580.0976t 0 H (t) = 350 i 31580119m O Htt) : 50 _ 15870.0976t O H(t) : 350 31580'0976t A population of fruit flies grows at a rate proportional to the initial population, where k = 0.5. After 10 days there are 593 fruit flies. Let F(t) be the number of fruit flies and t is measured in days. How many fruit flies were there after 3 days? Round your answers to a whole fruit fly, and assume the growth is proportional to initial population. O 16 O 18 O 20 O 24Assume that the rate of evaporation for water is proportional to the initial amount of water in a bowl. Jill places 1 cup and 8 ounces of water outside and notices that there is % cup of water 6 hours later. After how many hours, t, will there be less than 1 02 left? Let W(t) be the amount of water in the cup, and let f be measured in hours. Round your answer to the nearest hour. 0 {=14 0 {=13 0 {=12 0 {=11 On TV crime shows, the time of death is often determined by taking the temperature of the liver. Newton's cooling law can be used to determine how long a body that has been left in a xed temperature has been dead. Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t)be the temperature of the body, and S be the surrounding temperature. If the outside temperature is 60 degrees and the body is 75 degrees, can you determine time of death just from this information if you know that normal body temperature is 98.6? 0 No, you need a rate of cooling for the particular body, andfor you need to take two measurements. 0 Yes, but you would need a calculator andior your calculus text book. 0 No, because Newton's law of cooling does not apply even if the outside temperature was constant. 0 Yes, you have enough information and this information can be easily found without a calculator. A group of 10 wolves are introduced to a national park. The park can support 100 wolves. After 1 year there are 12 wolves. Let W be the number of wolves and t be measured in years. If the rate of growth of the wolf population is proportional to the initial number of wolves, at what time will it reach 100? Round answer to the nearest year. 0 10 O13 015 025
