Could you solve the questions please? THANK YOU SO MUCH!!!

Question 1 For each of the following scenarios7 determine what type of function 7 linear or power 7 ts the given description, and nd a formula for y = f (m) Assume for all the situations that y = 1 when m = 1. a Each time If increases b a factor of 2, increases by a factor Of 4. y y ( ((3) Each time 3: increases by 1, y increases by 3. b) Each time 3: increases by a factor of 2, y increases by a factor of 8. ((1) Each time 3: increases by 1, y decreases by 3. (e) Each time 3: increases by a factor of 2, y decreases by a factor of 2. (f) Each time 3: increases by a factor of 2, y decreases by a factor of 4. Question 2 During the winter, a smart thermostat is set to adjust the temperature on a 24hour cycle. It is programmed to reach a maximum of 69F at 9PM, and a minimum of 61F at 9AM. Let T(t) be the thermostat setting t hours after midnight. (a) Find a possible formula for T(t). (b) At what times throughout the day is the thermostat set to 66F? Question 3 Find all solutions of the following equations. (a) 5 cos(2:r + 3) = sin(2m + 3) (b) 20 + 90 sin (3(t 2)) = 100 (c) cos(3:c i 7) = 5 (d) 8cos(5m) = 3 Question 4 Question 5 Let L = f (h) be the amount of water (in liters) a species of tree needs per week when it is h meters tall. Let g(t) be the height of a tree of this species 75 years after 2009. Assume that f and g are invertible. For these parts, give your answer in terms of the functions f, g, f '1, and / or 9'1. (a) How much water did this tree need in 2013? (b) How tall is a tree that needs 55 L per week? ((3) In what year did this tree need 40 L per week? ((1) When was this tree 9 m tall? An oil tanker crashes off the coast of Florida at 12 : 00 pm (t = 0 hours), causing oil to leak out. The oil spreads out over the surface of the ocean in a circle, with the radius at time t given in kilometers by t). The total volume of oil spilled as a function of the radius is given by V0\") in liters. Assume V(r) and r(t) are invertible functions. For each of the following quantities, write out an expression that represents each quantity. Your expressions should involve only the functions V, V71, 7' and r'1 evaluated at different inputs. (a) the volume of the oil spill at 2 o'clock (b) the time when the oil spill reached a radius of 5 km (c) the time when the volume of the oil spill reached 20,000 L (d) the change in the radius as the volume increases from 5,000 L to 10,000 L (e) the amount of time it will take for the radius to grow from 5 km to 6 km