2. Some modeling considerations have mandated a search for a function where the unknown coefficients yi and y2 are expected to be nonpositive. Given are data pairs to be interpolated, (xo,zo), (x11), and (x2,22). where z>0, 0,1,2. Thus, we require The function u(x) is not linear in its coefficients, but v(x) = In(u(x)) is linear in its. (a) Find a quadratic polynom ilu(x) that nterpolates appropriately defined three data pairs, and then give a formula for u(x) in terms of the original data. This is a pen-and-paper item; the following one should consume much less of your time (b) Write a script to find u for the data (0,), 1,9), 3,.5). Give the coefficients n and piot the resulting interpolant over the interval [0,6j. In what way does the curve behave ualitatively differently from a quadratic