implicit derivative (x? + y?)? = 2 x y? { (x^2 + y^2 ^2 = 2 x^2 y^2 a) Differentiate implicitly to find dy/dx. b) Solve for the location of all horizontal tangent lines. c) Solve for the location of all vertical tangent lines. QUESTION 11 related rates sliding ladder (textbook) A ladder 30 feet long is leaning against a house. (The length of the ladder is fixed through the problem.) The ladder begins in a position where the ladder reaches 18 feet up the house. The base of the ladder is 24 feet from the house. The end of the ladder leaning against the house is pulled up at a rate of 2 ft. per second. The two variables changing are y, the height of the ladder leaning against the house (rate given above) and x the distance of the base of the ladder from the house. Write an equation relating these variables, and solve for dx/dt (unknown) in terms of dy/dt (given). How fast is x changing at the time when the height of the ladder on the house (y) is 24 feet? when the height (y) is 28 feet? QUESTION 12 4 points Save Answer related rates An airplane is flying at an altitude of 5 miles passes directly over a radar station, When the plane is 13 miles away (straight line from the radar station to the plane, s=13), the radar detects that s is changing at the rate of 575 miles per hour. What is the actual speed at which the plane is flying, (dx/dt)?