This 30° vertical bend in a pipe having 2-ft diameter carries water at rate of 31.4 cfs. If the pressure pp1 is 10 psi at the lower end of the bend where the elevation is 100 ft, and pp2 is 8psi at the upper end where the elevation is 103 ft, what will be the vertical component of force that must be exerted by the "anchor" on the bend to hold it position? The bent itself weights 300 lb, and length L is 4 ft. and what about in the horizontal direction?

moving ball hits still ball. mover stops, hit ball moves. momentum transfer.

no. dot product   =0 when vecs at right angles

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 .