A Physicist's Guide to Mathematica, 2nd Edition

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, ...