Exercises 19.4, page 530

1. $32 x^{5} + 240 x^{4} + 720 x^{3} + 1080 x^{2} + 810 x + 243$
3. $t^{3} + 12 t^{2} + 48 t + 64$
5. $16 x^{4} - 96 x^{3} + 216 x^{2} - 216 x + 81$
7. 8445.96301
9. $n^{5} + 10 π^{3} n^{4} + 40 π^{6} n^{3} + 80 π^{9} n^{2} + 80 π^{12} n + 32 π^{15}$
11. $64 a^{6} - 192 a^{5} b^{2} + 240 a^{4} b^{4} - 160 a^{3} b^{6} + 60 a^{2} b^{8} - 12 a b^{10} + b^{12}$
13. $625 x^{4} - 1500 x^{3} + 1350 x^{2} - 540 x + 81$
15. $64 a^{6} + 192 a^{5} + 240 a^{4} + 160 a^{3} + 60 a^{2} + 12 a + 1$
17. $x^{10} + 20 x^{9} + 180 x^{8} + 960 x^{7} + \dots$
19. $128 a^{7} - 448 a^{6} + 672 a^{5} - 560 a^{4} + \dots$
21. $x^{6} - 48 x^{11/2} y + 1056 x^{5} y^{2} - 14,080 x^{9/2} y^{3} + \dots$
23. $b^{40} + 10 b^{37} + \frac{95}{2} b^{34} + \frac{285}{2} b^{31} + \dots$
25. 1.338
27. 1.015
29. $1 + 8 x + 28 x^{2} + 56 x^{3} + \dots$
31. $1 + 6 x + 27 x^{2} + 108 x^{3} + \dots$
33. $1 + \frac{1}{2} x - \frac{1}{8} x^{2} + \frac{1}{16} x^{3} - \dots$
35. $\frac{1}{3} [1 + \frac{1}{2} x + \frac{3}{8} x^{2} + \frac{5}{16} x^{3} + \dots]$
37.
1. $3.557 \times 10^{14}$
2. $5.109 \times 10^{19}$
3. $8.536 \times 10^{15}$
4. $2.480 \times 10^{96}$
39. $n! = n (n - ...$

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Basic Technical Mathematics, 11th Edition by Allyn J. Washington, Richard Evans