Automobiles the engine torque y (in foot-pounds) of one model of car is given by y = º3.75x2 + 23.2x + 38.8 where x is the speed of the engine (in thousands of revolutions per minute). find the engine speed that maximizes torque. what is the maximum torque?

Part 1) The engine speed that maximizes torque is

Part 2)The maximum torque is

Step-by-step explanation:

The correct equation is

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

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it