Please solve these 3 questions in details and fully explaination. Thanks so much in advance.

Question 7.1 (10 minutes) Find the global (ie. absolute) extrema ofm) 2 (372+ 22: 8)2/3 on the interval [0,4]. Question 7.2 (15 minutes) Suppose that three parameters of a gas: pressure P, volume V and temperature T at all time t are related by the equation PV 2 or, where 04 = 8.3 kPa litres/keluin is a constant. Suppose that we start increasing the pressure at a rate of4 kPa/min and decrease the volume at a rate 0f2 liters/min. How quickly is the temperature changing when the temperature reaches 300 keluin and the pressure at that moment is 100 kPa? Question 7.3 (20 minutes) A person on the bank of a river 1 km wideJ needs to get to a destination on the opposite side of the river and 1 km upstream. The person decides to swim along a straight line to some point P on the Opposite bank and then walk the remaining distance. If the person swims at 3 km/h and walks 5 km/h, then how should P be chosen to reach the destination in the fastest possible way? u L Figure 1: Diagram for Question 7.4