The photograph shows an experimental device at sandia national laboratories in new mexico. this device is a mirror that focuses sunlight to heat sodium to a boil, which then heats helium gas in an engine. the engine does the work of driving a generator to produce electricity. the sodium unit and the engine are labeled in the photo. (a) what kind of mirror, concave or convex, is being used? (b) where is the sodium unit located relative to the mirror? express your answer in terms of the focal length of the mirror.

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

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 .