A plate is submerged in water and has the indicated shape. Explain how to approximate the hydrostatic force against one of the side of the plate by a Riemann sum. Then express the force as an integral and evaluate it. g

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 .

total distance/total time

(85 + 82)/(5+3)

167/8

20 just over

well clustered together.

points close on a scatter diagram