A propeller blade can be modeled as a thin uniform bar 3 m long and mass 30 kg. The blade rotates on an axle that is perpendicular to it and through its center. Friction in the axle and air resistance combine to produce a torque of 25 Nm. If the blade is initially turning at 600 rpm, how long before the blades come to a rest? (answer in units of seconds)

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .

the journeys of marquette, joliet and la salle a) new france expand.

all three of these explorers explored the midwest and the area around the great lakes, which they subsequently claimed for france.

this was a big portion of territory and expanded new france which before then only consisted of quebec province in northeastern canada