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Mathematics for Physicists by Graham Shaw, Brian R. Martin

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Answers to selected problems

Problems 1

 1.1 (a) p = 124.68; (b) q = 400; (c) r = 0.04.

 1.2 (a) 756 = 22337; (b) .

 1.3 (a) p = 1.246 × 103; (b) − 1.57 × 103; (c) 4.5 × 10− 3.

 1.5 (a) 25/2311/12; (b) 3− 1/6512/5; (c) 77/32− 1/2.

 1.6 (a) (b)

*1.7 (a) 10.31 = 1010.01012…; (b) 1101.012 = 13.25.

*1.8 (a) p × q = 321304; (b) (pq) = 114.

 1.9 (a) ; (b) ; (c) 35/6a− 5/3.

1.10 (a) identity; (b) equation.

1.11 (a) − 1 < x < 4; (b) − 4 < x < −2 or 2 < x < 4; (c) x > −2 or x < −4.

1.12 31.681.

1.13 − 9828a3b11.

1.17 (a) (b) (c) x = y6 + 2.

1.18

1.19 (a) (b) f− 1(x) = 27x3 − 4.

1.20 (a) ...

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