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img010jh8 - Section 6 Area ofa Region Between Two Curve 11...

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Unformatted text preview: Section 6.] Area ofa Region Between Two Curve: 11 _ 2 n _ 2 55.II_‘1‘Iim0. E (x x,- )Ax 5.I111Ir_n'o 2(4 x )Ax i 1. 4i 4 wherex, = 23nd Ax=;1s the same as wherex= —2 +—and Ax—Zis the same as X: 31 3 2 _ 2 _ x__x_ =1 _ 2 =[ _x_] :2 J; (x x)dx [2 3L 6‘ I: (4 x)dx 4x 3 _2 3. 0.2 04 0.6 0.8 1.0 (0. 0) 2 5 0'123' ]0 = $1.625 billion 0.13tdt = I: 5 5 57. J [(7.21 + 0.58t) - (7.21 + 0.450] dt = I o o 5 5 58. I [(7.21 + 0.26t + 0.02:2) — (7.21 + 0.1: + 0.01t2)] dt = I (0.0112 + 0.161) dt 0 0 3 2 5 [0.0” 0.16! :l o 3 2 =§billion m $2. 417 billion _ 27.77 — 0.361 5 s r s 10 59‘ f0) _ {21.00 + 0.272 10 s t s 14 (a) so h..._‘_‘__, -5 15 —5 14 14 (b) I [(21.00 + 0.272) — (27.77 - 0.36:)] dt = I [—6.77 + 0.63t] dt 10 10 14 = [—6.77t + 0.315910 = 3.16 billion pounds 10 10 ,0 60. J, [(568.50 + 7.15t) — (525.60 + 6.430] d: = (42.90 + 0.72:) d! = [42.90t + 0.36:2]0 = $465 million 0 o 61. 5% : P1 = 39390050115). 3%%: P2 = 893,000 50.035): Difference in profits over 5 years: e°~ .05: €0,035: 5 0 05 _0.035]o a 893,000[(25.6805 — 34.0356) — (20 — 285714)] z 893,000(0.2163) ~ $193,156 5 I [893, 000e° 05' 7 893 ,000e0035‘] dt = 893 ,000[— 0 Note: Using a graphing utility you obtain $193,183. ...
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