1) A searchlight is kept focus on an aircraft that flies directly above the light at a constant altitude of 2 kilometers and speed of 0.2 kilometer per second. Two seconds after the plane is directly over the light, how fast (in rad/s) is the light rotating?

2)Use a linear approximation (or differentials) to estimate

3)A curve passes through the point(0,4)and has the property that the slope of the curve at every pointPis three times the y- coordinate ofP. What is the equation of the curve?