Please assist me with understanding the following questions:
1. A glider is flying along the line y = - (1/3)x + 100. Its horizontal shadow is moving at 10 m/s. How fast is the glider approaching the origin (0,0) at the time when it is located at (-30, 110)?
2. Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. At time t0, the volume V = 600m^3, the pressure is 300 pKA and the pressure is increasing at a rate of 10 pKA/min. At what rate is the volume decreasing at time t0 ?
This solution provides a detailed, step by step response which discusses the concepts of the rate of change, the chain rule and derivatives. The solution is provided in an attached Word document.