The RPM at which the engine is putting out Maximum power is 6875 RPM.
The maximum horsepower is; 1548.521 HP
<h3>How to find the maximum value of a function?</h3>
We are told that the engine in a car has a power curve approximated by;
y = -x²/30000 + 22x/48 - 27
where;
x is the RPM
y is the horsepower generated
A) The RPM that generates the most power would be the value of x at dy/dx = o
Thus;
dy/dx = -2x/30000 + 22/48
At dy/dx = 0;
-2x/30000 + 22/48 = 0
22/48 = 2x/30000
2x = (22 * 30000)/48
x = (22 * 30000)(2 * 48)
x = 6875 RPM
B) Maximum horsepower would be;
y(6875) = -(6875)²/30000 + 22(6875)/48 - 27
= 1548.521 HP
Read more about Maximum value of a function at; brainly.com/question/5722003
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