By Vitillaro E.

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**Additional info for A potential well theory for the wave equation with nonlinear source and boundary damping terms**

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22. 23. 24. 28. 29. 34. 35. 36. 37. 38. 39. 40. 31. (a) 2/15 11 (42, 3, 4, 6, 9 (c) 4800 (b) 1; 333. (a) 3/20 (43, 3, 5, (b) 2, 3, 4, 5 , 6, 10 330. 32. 26. 27. 25. 1 TERMS Percent means by the hundred; also, in or for every hundred, that is, hundredths. If we consider that a quantity is subdivided into 100 equal parts, a certain percent of the quantity is the number of these hundredth parts involved. The word rate is sometimes used for percent. Percentage is the result of taking a specified percent of a quantity.

Applying the rules for reading significant figures, the answers are: (a) 4, (b) 1 , (c) 4, (d)2, ( e ) 5. 8. 06 AU. For numbers greater than 1, move the decimal point to the left to the first digit; for numbers smaller than 1 , move the decimal point to the right past the first digit. 807 x Id cm/sec (e) 3 . 004 x 10-4 g/cm2 In part (c) the underlined zero is significant and must be written in the decimal part. 9. 8 to three significant figures. 01. 10. 450 cm. 1 cm. 4 cm. 11. 575 x 10-2 kg and give the answer to the correct number of significant figures.

Population in 1965 was estimated to be one hundred ninety-four million five hundred ninety-two thousand. (a) Express this number in scientific notation to three significant figures. 23 compute the automotive horsepower per capita in 1965. 95 x 10'. 25. 52 x 102 calorie. 4 x 104 BTU. The conversion factor has to be written so that BTU appears below the division line. Then the BTU will cancel out. 52 to two significant figures. 26. 6 g/cm3 to kg/m3, given that 1 kg = loo0 g, 1 m = 100 cm. 1 kg = 103g 1 m = 102cm 1 m3 = (100cm13 = 106 cm3 28 MEASUREMENT AND SCIENTIFIC NOTATION [CHAP.