In: Advanced Math
1. As you are solving a related rates problem that is asking for the rate of change of an angle, you come up with the following equation that relates the given variables. Show on your paper (or enter using the equation editor in the space provided below) what the next step would be. That is, show the work for differentiating both sides with respect to the time variable,
sin\theta =(5)/(x)
2 .Determine the vertical and horizontal asymptotes for:
y=(x^(2)+5)/(3x^(2)-14x-5)
3. Two trucks start at the same point. Truck A drives south at 16 mi/hr and truck B drives west at 12 mi/h. At what rate is the distance between the trucks changing 2 hours later? (Hint: at one point, you will need to figure out how far each truck has traveled in 2 hours.) Make sure to show all the work on your paper.