For the functions given below, write the optimality conditions and find the stationary points. use your calculator (or matlab) when needed to do some of the computations, but show all the work. also determine the local minimum, local maximum, and inflection points for the function (inflection points are those stationary points that are neither minimum nor maximum).
f (x1, x2) = x12 + 4x1x2 + x2^2 + 3

The decibel level of sound is 50 db greater on a busy street than in a quiet room where the intensity of sound is watt/m2. the level of sound in the quiet room is db, and the intensity of sound in the busy street is watt/m2. use the formula , where is the sound level in decibels, i is the intensity of sound, and is the smallest sound intensity that can be heard by the human ear (roughly equal to watts/m2).

If you apply the below transformations to the square root parent function, f(x) = vx, what is the equation of the new function? • shift 12 units right. • shift seven units down.

When the ball has traveled a distance of