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Answer:
Part 1) The engine speed that maximizes torque is
Part 2)The maximum torque is
Step-by-step explanation:
<u><em>The correct equation is</em></u>
This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
The x-coordinate of the vertex represent the engine speed that maximizes torque
The y-coordinate of the vertex represent the maximum torque
Solve the quadratic equation by graphing
using a graphing tool
The vertex is the point (3.093,74.683)
see the attached figure
therefore
The engine speed that maximizes torque is
---> because is in thousands of revolutions per minute
The maximum torque is
Remember
(x^m)(x^n)=x^(m+n)
(x^2y^2-5)^2=
(x^2y^2-5)(x^2y^2-5)=
x^4y^4-5x^2y^2-5x^2y^2+25=
(x^m)(x^n)=x^(m+n)
(x^2y^2-5)^2=
(x^2y^2-5)(x^2y^2-5)=
x^4y^4-5x^2y^2-5x^2y^2+25=