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## Getting a Little "Lift" out of Calculus Part II: Answers

 Calculus Problem 1 Calculus Problem 2 Calculus Problem 3

Problem 1:

This was solved using the geometry method described in the first part of the lab. The answer to the actual problem is shown using Figure 1 and Table 1.

Figure 1
Table 1

 Measured Scaled Rectangle Width (cm) Height (cm) Width (sq. in.) Height (lbs/sq. in.) Area (lbs) 1 0.54 4.90 8.45 16.61 140.40 2 0.54 2.90 8.45 9.83 83.09 3 0.54 2.32 8.45 7.86 66.47 4 0.54 2.05 8.45 6.95 58.74 5 0.54 1.80 8.45 6.10 51.57 6 0.54 1.70 8.45 5.76 48.71 7 0.54 1.45 8.45 4.92 41.55 8 0.54 1.38 8.45 4.68 39.54 9 0.54 1.25 8.45 4.24 35.82 10 0.54 1.15 8.45 3.90 32.95 11 0.54 1.10 8.45 3.73 31.52 12 0.54 0.98 8.45 3.32 28.088 13 0.54 0.85 8.45 2.88 24.35 14 0.54 0.70 8.45 2.37 20.06 15 0.54 0.64 8.45 2.17 18.34 16 0.54 0.50 8.45 1.70 14.33 17 0.54 0.34 8.45 1.15 9.74 Total (in lbs) 721.18

Problem 2:

This was solved using the geometry method described in the first part of the lab. The answer to the actual problem is shown using Figure 2 and Table 2.

Figure 2

Table 2

 Measured Scaled Rectangle Width (cm) Height (cm) Width (sq.in) Height (lbs/sq.in) Area (lbs) 1 0.30 2.03 4.64 6.41 29.79 2 0.30 1.10 4.64 3.48 16.14 3 0.30 1.11 4.64 3.51 16.29 4 0.30 1.27 4.64 4.01 18.64 5 0.30 1.54 4.64 4.87 22.60 6 0.30 1.88 4.64 5.94 27.59 7 0.30 2.13 4.64 6.73 31.26 8 0.30 2.44 4.64 7.71 35.81 9 0.30 2.70 4.64 8.53 39.62 10 0.30 3.00 4.64 9.48 44.03 11 0.30 3.15 4.64 9.95 46.23 12 0.30 3.35 4.64 10.59 49.16 13 0.30 3.44 4.64 10.87 50.48 14 0.30 3.56 4.64 11.25 52.24 15 0.30 3.56 4.64 11.25 52.24 16 0.30 3.58 4.64 11.31 52.54 17 0.30 3.55 4.64 11.22 52.10 18 0.30 3.57 4.64 11.28 52.39 19 0.30 3.50 4.64 11.06 51.36 20 0.30 3.46 4.64 10.93 50.78 21 0.30 3.34 4.64 10.55 49.01 22 0.30 3.28 4.64 10.36 48.13 23 0.30 3.17 4.64 10.02 46.52 24 0.30 2.90 4.64 9.16 42.56 25 0.30 2.65 4.64 8.37 38.89 26 0.30 2.40 4.64 7.58 35.22 27 0.30 2.18 4.64 6.89 31.99 28 0.30 1.93 4.64 6.10 28.32 29 0.30 1.60 4.64 5.06 23.48 30 0.30 1.10 4.64 3.48 16.14 31 0.30 0.75 4.64 2.37 11.01 Total (in lbs) 1162.56

Problem 3:

This was solved using the integration method described in the second part of the lab. The answer to the actual problem is shown using Figure 3 and the functions shown below.
Figure 3

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