Question

t = 9:2-7x: @ Approidmate the area of the region bounded by the graph of f(t) = cos (t/2-71/) and the t-bode on [3./4.7x4 with n = 4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle see figura) The approximate area of the region is (Round ta wo decimal places as needed

Answer 1

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We have , y = f(t) cos (& 3 - 2 [3", "] Hole :9 a = 3T 7 n = 4 2 77,- 31/2, bra n IT 7 step length ha 4. i=D, 1,2,3 į ti+ 4.? z () t3 27 to 47 L 1 1 3т H 55 IN 301 2 7 130 TH & git & 11 $ formula integration midi point Using TH14 - I faldt I ho f(tit tiet) ~ io 3TT 7 3 Clarinet (ein fót (- 2 + (607*. } [(#10f + (90f + Cutof (1/ s t u v f 2 T 4 / سرد) az 515 + 76 To 7 [ as + 6 +0.980 785] [ 0 195090 + 0.555570 + 0.837469 +0.980 785) 2.562 914 11 1 2-decimal places) 2:01 crounded up to

regde The. area of the region vion bounded and the by the tronis graph f(t) = 6s (5-7) on 77's 12.01 (Rogado) Squane By diveet calculation TH14 árs (-747 S TT/4 J fet) at 31 7 71 3A ( - 17 37 2 [pain [ sin() - sin (9) 2 Ton(+1) 2 1 . 2 2 Calculation Erorr X100% % of relativo erum | Approximate volue -- Exact valeat, Exact value | 2.01 – 21 X 100 % 2 010/ 100 % 2 - 5%

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