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Table 1: Time Table 2: Energy savings (Wh) per hour Row Time Row Energy savings % Decrease T (S 1st hour (Wh) per hour 1

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Table 1: Time Table 2: Energy savings (Wh) per hour Row Time Row Energy savings % Decrease T (S 1st hour (Wh) per hour 1 1.13 40 10 1.08 50 8 W N A W N 1.04 60 22 1 85 18 0.97 30 18 0.94 Do a uIA 65 24 0.91 85 15 0.88 35 9 0.86 50 19 10 0.84 10 70 13 11 0.82 11 45 15 12 0.8 12 40 6 13 0.78 13 35 24 14 0.76 14 95 23 15 0.75 15 60 23 16 0.73 16 55 24 17 0.72 17 45 22 18 0.71 18 55 19 19 0.69 19 95 17 20 0.68 20 90 22 Table 3: Energy savings (kWh) per month Table 4: Temperature Row month 1 month 2 month 3 month 4 Environment Row k (kWh) (kWh) (kWh) (kWh) Too (C 1 280 275.5 271 266.5 70 0.026 340 336.5 333 329.5 71 0.021 AWN 200 196 192 188 72 0.017 340 331 326.5 73 OUT A W N 335.5 0.021 230 227 224 221 5 74 0.018 400 393 386 379 6 75 0.015 300 295 290 285 7 76 0.013 270 265 260 255 8 77 0.013 360 354 348 342 9 78 0.016 10 290 279 268 257 10 79 0.017 11 390 381.5 373 364.5 11 80 0.014 12 340 330 320 310 12 72 0.021 13 300 292 284 276 13 73 0.021 14 380 368.5 357 345.5 14 74 0.02 15 210 202.5 195 187.5 15 75 0.018 16 380 370.5 361 351.5 16 74 0.015 17 310 300 290 280 17 75 0.017 18 350 346 342 338 18 76 0.017 19 310 304.5 299 293.5 19 77 0.015 20 290 286 282 278 20 78 0.018 Page 9 of 11Part 2: Energy savings You are to produce predicted energy savings using data gathered from a case study. A. Table 2 shows the energy savings of the dynamo system during the rst hour of operation, and the percentage by which the savings decrease each hour of continuous operation (due to increased heat losses). a. Establish a suitable geometric progression based on the values in Table 2. b. How much energy is saved during the 8th hour of operation? 0. How much energy is saved in total if the system runs for 48 hours continuously? B. Table 3 shows the energy savings over several months (the energy savings decrease with declining battery quality over time). a. Establish a suitable arithmetic progression based on the data provided in Table 3. b. How much energy is saved in the 18th month of operation? 0. How much energy is saved in total during the rst 24 months

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