A wheel 1.7 m in diameter rotates with an angular acceleration of 3.0 rad/s^2. (Enter the magnitudes.) Required:
a. If the wheel's initial angular velocity is 3.0 rad/s, what is its angular velocity (in rad/s) after 10 s?
b. Through what angle (in rad) does it rotate in the 10 s interval?
c. What are the tangential speed (in m/s) and tangential acceleration (in m/s2) of a point on the rim of the wheel at the end of the 10 s interval?

powerful computers now, not then

measuring things 1 litre of water

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 .