A reservoir manometer consists of a U­tube in which the two arms have different diameters, as shown in Fig. 13­1. The diameter on the narrow side is 10.0 mm and the diameter on the reservoir side is 25.0 mm. The liquid in the manometer is oil with a density of 830 km/m-3 and the fluids in contact with the oil are gases of negligible density. The dotted line indicates the level of the oil when the pressures p1 and p2 are equal. What is the value of h when p1-p2=1000?

show the diagram then i will answer

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 .

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