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for max range:

consider the same curve (fuel flow vs airspeed), and note that a straight line drawn through the origin represents d(fuel)/dx, 
since [[graph]] y x  m=y/x [[image]] and ∴ m=(d(fuel)/dt)/(dx/dt) = d(fuel)/dx

∴ to find the fuel/mile burned at a particular point on the "power curve", just draw a line back to zero, & calculate its slope

[[image]] fuel flow m1 p1 m Min pmin max range airspeed

e.g. at P1, the #/mile is equal to slope M1; #/mile is minimized by finding point Pmin for which M is minimized. The corresponding velocity is max range (#/mile) velocity.

Transcription Notes:
added parentheses around the parts of equations to have them make better sense