I have no idea what to do! Someone please help! and break down the steps for me please! :confused::(

It takes a certain power http://webwork1.math.utah.edu/math12...091970img1.gif to keep a plane moving along at a speed http://webwork1.math.utah.edu/math12...091970img2.gif. The power needs to overcome air drag which increases as the speed increases, and it needs to keep the plane in the air which gets harder as the speed decreases. So assume the power required is given by

where http://webwork1.math.utah.edu/math12...091970img4.gif and http://webwork1.math.utah.edu/math12...091970img5.gif are positive constants. (They depend on your plane, your altitude, and the weather, among other things.) Enter here the choice of http://webwork1.math.utah.edu/math12...091970img2.gif that will minimize the power required to keep moving at speed http://webwork1.math.utah.edu/math12...091970img2.gif.

Suppose you have a certain amount of fuel and the fuel flow required to deliver a certain power is proportional to to that power. What is the speed http://webwork1.math.utah.edu/math12...091970img2.gif that will maximize your range (i.e., the distance you can travel at that speed before your fuel runs out)? Enter your speed here Finally, enter here the ratio of the speed that maximizes the distance and the speed that minimizes the required power.