3. Dog is chasing his tail. The radius of the circle that dog makes is 0.62 meters. The dog runs in a circle 10 times in 7.2 seconds.
a) What is the period of motion of the dog?
b) What is the speed of the dog?
I
c) What us the centripetal acceleration of the dog?
d) If the dog has a bandanna tied to his neck, mass is 0.024 kg, then what is the centripetal force
acting on the bandanna?

tube or goog with be a great resource to with that question

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 .