Two solid uniforms disks are attached to each other so they rotate together as shown above. The smaller disk has a mass of 5.00 kg and a radius of 1.00 m. The larger disk has a mass of 15.0 kg and a radius of 2.00 m. A 25.0 kg box is hung by a rope that wraps around the larger disk. A force, F1 is applied to the smaller disk so that the box is raised upward with a linear acceleration of 3.00 m/s2. A. What is the tension on the rope?
B. What is the angular acceleration of the smaller disk?
C. What must be the force F1 to produce this acceleration?

the part of the wave he is travelling on is the crest

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 .