Question

4. In the accompanying table, is listed the scores of five students in the three exams given in a class. Student h: Hour Exam Carlos 92 Jane 86 Pierre 68 Karen 76 Wynn 54 m: Midterm Exam f: Final Exam 92 90 68 69 82 64 48 43 70 50 Find the function -+ch +cam that best fits these data, using least squares. What final exam score f does your formula predict for Marcus, another student, whose scores in the first two exams were h = 92 and m = 727 5. Two herds of vicious animals are fighting each other to the death. During the fight, the populations r(t) and y(t) of these two species can be modeled by the following system of linear differential equations: dr о (hp)

Answer 1

Gluen tunetion is- t=cotch +C2m The normal equition are- Et = conta Eht C2 Em Eth=to Entei En²+ C2 Emn Co En² tae Eth? B 12 teamh The weilul are calculated by following teable-

Et=316, En=376. Em=360 Eth = 24534, Emh = 27316 En2 29176, Emma=2140352, Eth²= 1962188, 343 = 2322816 Now equation ax- 316=560+ 376 ci + 36062 24534 = 37600 + 291766, +27316C2 1962188=29176 lot 23238164, +214035262 The solution are- Co= 83.4312 Ci=0.424, 62=1.5437 > Now equation will be a f = -83.4316 +0.424h + 1.5937m Ror h = ab and m=72 then 7 70.3228