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1: Section 1.1 Answers

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    109250
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    1. \(2\)

    2. \(2\)

    3. \(1\)

    4. \(1\)

    5. \(2\)

    14. \(x^4-{1\over 3}x^3+5x+c\)

    15. \(y=x\cos x-\sin x+c\)

    16. \(y=-{1\over 9}\cos^9 x+{2\over 7}\cos^7 x-{1\over 5}\cos^5 x+c\)

    17. \(x\sec x-\ln |\sec x+\tan x|+c\)

    18. \(2\sin^{-1} {x\over 2}-{x\sqrt{4-x^2}\over 2}+c\)

    19. \(\ln |x|+{1\over 2}\ln (x^2+9)-{1\over 3}\tan^{-1} {x\over 3}+c\)

    20. \(y=1-\frac{1}{2}\cos x^{2}\)

    21. \(y=-(x-1)e^{x}\)

    22. \(y=3-\ln (\sqrt{2}\cos x)\)

    23. \(({\pi\over 2},{3\pi\over 2})\)

    24. \((-{\pi\over 2},{\pi\over 2})\)

    25. \((0,\infty)\)

    26. \((-\sqrt{\pi},\sqrt{\pi})\)

    27. \((0,2)\)

    28. \((0,\infty)\)

    29. \((0,\infty)\)

    30. \((-\infty,\infty)\)

    31. \((0,1)\)

    32. a. \([-3,\infty)\)

    b. \((-3,\infty)\)

    33. a. \((-\sqrt{\pi},\sqrt{\pi})\)

    b. \(y=-1\) on \((-\infty,\infty)\) and \(y=1\) on \((-\infty,\infty)\)

    34. a. \(576\) ft

    b. \(10\) s

    37. a. \((-2c-2,\infty)\)

    b. \((-\infty ,\infty)\)


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