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A Physicist's Guide to Mathematica, 2nd Edition by Patrick T. Tam

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Appendix C. Solutions to Exercises

This appendix provides solutions to selected exercises in Chapters 2 and 3.

Section 2.1.20

1.

(10 Sqrt[(10.8 × 10^3)/300] + 4)^(1/3)

3.

ScientificForm[((2.54^(3/5)Sqrt[1.15 × 10^ –2])+ (5.11^(2/5)))/ Sqrt[2.32 × 10^ –5],3]

5.

ScientificForm [ (((3 × 10^2)^3) ((2 × 10^ –5)^ (1/3)))/Sqrt[3.63 × 10^ –8], 3]

7.

ScientificForm[N[Sqrt[(–2 –5)^2 + (5 + 3)^2]],3]

9.

ScientificForm[400 Cos[35 Degree]// N, 3]

11.

θ = N [ArcCos[2/3]/Degree]

Tan [θ Degree]^2

13.

N [EulerGamma, 25]

15.

A = {{1, 0, –1}, {2, 4, 7}, {5, 3, 0}}
B = {{6, 1}, {0, 4}, {–2, 3}}
A.B // MatrixForm
Clear [A, B]

17.

mymatrix = {{–2, 1, 3}, {0, –1, 1}, {1, 2, 0}}
Inverse [mymatrix] // MatrixForm
Clear [mymatrix]

19.

data = {{0.608, 0.05}, {0.430, 0.10}, {0.304, 0.20},
  {0.248, ...

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