A sink faucet nozzle makes a gradual downward right angle turn, from horizontal to vertical. Water is assumed to be an ideal liquid that enters at a pressure of 275 kPa and exits at 101 kPa. The nozzle inlet diameter is 2.5 cm, and the exit diameter is 1 cm. For a steady flow rate of 10 gal/min, calculate the components of the force required to hold the nozzle stationary. You may neglect the weight of the water and the nozzle.

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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 .

blue light is scattered in different directions by the tiny molecules of air. blue is scattered more than other colours because it has a shorter distance to travel which results in smaller waves. this is why we see a blue sky most of the time.