help with both please:) thank you!

2. The temperature on a particular day in March is T(t)=32+14e.01(x11)2(0t24) F where t=0 corresponds to 6AM and t is measured in hours. Answer the following questions. (a) Demonstrate the chain rule by finding T(t). Notate your answer. (b) Demonstrate the product rule in finding T(t) by showing the table of first and second functions and their derivatives. Do not simplify the result. Notate your answer. (c) At what time does the temperature reach a maximum? Show which derivative function you used to find this value and proof that it is a maximum. Give your answer with units. (d) At what time does the rate at which the temperature is increasing change from increasing to decreasing? Show which derivative function you used to find this value. Give your answer with units. 3. The surface area of a horse is given by S=0.1x2/3 square meters where x is the mass of the horse in kilograms. Answer the following questions. (a) Find S(450) and S(450). Round the values to 2 decimal digits. (b) Write the linearization, L(x), for the surface area of a horse that weighs 450kg. Notate it L(x). (Hint: x=450 ) (c) Use the linearization to find the linear approximation of the surface area of the horse if it loses mass and is now 447kg. Include units in your answer. (d) Write out the differential dS and use it to find the change in the surface area of the horse if it goes from 450kg to 452kg. Include units in your