A.1.2: Section 1.2 Answers
- Page ID
- 43733
1. \(3\)
2. \(2\)
3. \(1\)
4. \(2\)
13. \(y=-\frac{x^{2}}{2}+c\)
14. \(y=x\cos x-\sin x+c\)
15. \(y=\frac{x^{2}}{2}\ln x-\frac{x^{2}}{4}+c\)
16. \(y=-x\cos x+2\sin x+c_{1}+c_{2}x\)
17. \(y=(2x-4)e^{x}+c_{1}+c_{2}x\)
18. \(y=\frac{x^{3}}{3}-\sin x+e^{x}+c_{1}+c_{2}x\)
19. \(y=\sin x+c_{1}+c_{2}x+c_{3}x^{2}\)
20. \(y=-\frac{x^{5}}{60}+e^{x}+c_{1}+c_{2}x+c_{3}x^{2}\)
21. \(y=\frac{7}{64}e^{4x}+c_{1}+c_{2}x+c_{3}x^{2}\)
22. \(y=-(x-1)e^{x}\)
23. \(y=1-\frac{1}{2}\cos x^{2}\)
24. \(y=3-\ln (\sqrt{2}\cos x)\)
25. \(y=-\frac{47}{15}-\frac{37}{5}(x-2)+\frac{x^{5}}{30}\)
26. \(y=\frac{1}{4}xe^{2x}-\frac{1}{4}e^{2x}+\frac{29}{4}\)
27. \(y=x\sin x+2\cos x-3x-1\)
28. \(y=(x^{2}-6x+12)e^{x}+\frac{x^{2}}{2}-8x-11\)
29. \(y=\frac{x^{3}}{3}+\frac{\cos 2x}{6}+\frac{7}{4}x^{2}-6x+\frac{7}{8}\)
30. \(y=\frac{x^{4}}{12}+\frac{x^{3}}{6}+\frac{1}{2}(x-2)^{2}-\frac{26}{3}(x-2)-\frac{5}{3}\)
40.
- \(576\) ft
- \(10\) s
41.
b. \(y=0\)
43.
a. \((-2c-2,\infty )\: (-\infty ,\infty )\)