(1] Finding Extreme Values. In this problem you will see an exa'nnplt'r of finding the extreme values of n hunt-lion of two mrinbles on a bounded region D [includingr the boundary]. Let. f(-J:,y] = 3:2 +1.: 223; and D be the region in the first quadrant bounded betwmn the y-nxis, the :i:-axis, and the line 3; = 2 :17. (21) The line segment between (0.0) and (2,0): Let Hi3?) : \"330) for (l S :1: 5 2. Find the absolute extreme of it. Be sure to check the endpoints. (b) The line segment between (0.0) and ((1.2): Let My) = f0), 3;) for {l S y 5 2. Find the absolute extrenm of h. as you did in differential ealeulns. Be sure to cheek the endpoints. (e) The line segment between (2,0) and ((1.2): Substituting 3; = 2 :3, let _;'[;i:) = f (3;, 1 3:2) [or (l 3 J: S 2. Find the absolute extreme. of j. Be sure to check the endpoints. ((1) Think about why 9(0) 2 hm), 35(2) 2 9(2), and 35(0) 2 hm). (0) Find the only critical point. of u; y). Is it inside the region D? If 50, find the value of f at. 1,110 critical point. Nah: that critical points outside of D an: irrelevant... (f) Compare all the outputs l.u give the. values and lutrutiun] \"ftlm absolute maximum and emulutc minimum