11) Find all values of x for which the slope of the line tangent to f(x) = x3 + 15x2 - 270x is equal to 18. 12) Find the equation of the line tangent to g(x) = (2x + 17)ex-5 at x = 5.14) The temperature of a 153-degree Fahrenheit covered mug of coffee left in a room whose temperature is 71 degrees Fahrenheit can be modeled by the function C(t) = 82 + 71e-0.565 where : is in hours and C(t) is in degrees Fahrenheit. Find C'(0.25) and include the units in your answer. 15) Find the instantaneous rate of change of f(x) = v225 -x? at x = -9. 16) For f(x) = -5x2 + 144x-2, find the slope of the secant line from x = -3 to x = 6