3. Consider the function f(t)=v(2v)(2v+1)(1+vt2)2v+1 where v>0 and (x) is the Gamma function (gamma (x) in MATLAB) (x)=0tx1etdt (a) Create a function called tpde that takes as input t and v and computes y= f(t) making sure that the calculations can be done if t is a number, vector or matrix, just as the sin function works (no error checking is done on ). (b) Perform the command help tpdf. (c) Use your function to graph y=f(t) for t[4,4] and v=1. (d) Use your function to graph the following three plots on the same figure. They should all be for t[4,4]. The first plot should be with v=1, the second with v=2, and the third with v=5. Have all be different colors and have a legend for the plots. The Greek letter v can be written in text as " u" in MATLAB