11) The ideal gas law states that the product of pressure and volume of an ideal gas is proportional to the temperature of the gas. At a pressure of 10, volume of 13, and temperature of 100, suppose the volume decreases at a rate of 1 per second while the pressure increases at a rate of 2 per second. How fast is the temperature changing at this moment?

12) Use Newton's method to find a solution to the equation (Show your work, your initial value for Newton's method, explain why you chose that initial value, and round the solution to 6 decimal places.) 3x + sin(2x) = e^?x

Exercise 11 The ideal gas law states that the product of pressure and volume of an ideal gas is proportional to the temperature of the gas. At a pressure of 10, volume of 13, and temperature of 100, suppose the volume decreases at a male of I per second while the pressure increases at a rate of 2 per second. How fast is the temperature changing at this moment? Exercise 12 Use Newton's method to find a solution to the equation 3x + sin (2x) = e- Show your work, your initial value for Newton's method, explain why you chose that initial value, and round the solution to 6 decimal places