A26 foot ladder is lowered down a vertical wall at a rate of 3 feet per minute. the base of the ladder is sliding away from the wall. a. at what rate is the ladder sliding away from the wall when the base of the ladder is 10 feet from the wall? would you expect the same rate when the ladder is any distance from the wall? would you expect your answer to be positive when the base is any distance from the wall? is there a physical reason why the rate is positive? at what rate is the ladder moving away from the wall when the ladder hits the ground?

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 .

the right answer is 0.3 meters per second