AP CALC BC 2005.... I know YOU took it!

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61

<p>yea i definitely also got the open interval from -1 to 1... neither worked as endpoints when i applied the tests</p>

62

<p>(-1,1) here</p>

63

<p>did we have to test the endpoints?</p>

64

<p>wait, I thought that:</p>

<p>(n+1)^2/((n(n+2)) > (n+2)^2/((n+1)(n+3))</p>

<p>4/3 > 9/8</p>

<p>Are you sure that it doesn't converge?</p>

65

<p>Dude, you can just use the ratio test to establish convergence at endpoints as well. If you plug in 1 and -1, you'll find that you get finite answers >= 1. Therefore, the endpoints do not converge. And at 1, though it is an alternating series, if you look closely, the lim(n->inf)An = 1, which means that it diverges by the alternating series test. -1 diverges because it's all positive and continually increasing to a horizontal asymptote of 1.</p>

66

<p>Who actually got Form B for the Free Response? It looks like everyone on here got Form A, as did my whole class. What do they use Form B for?</p>

67

<p>I think they use form B for people who have to make up the test?</p>

68

<p>(-1, 1) here too... you can just use the n-term test to see that as n approaches infinity the end points don't approach 0.</p>

69

<p>how do you guys think the points will work for #6?</p>

70

<p>probaly 5 points for part a:
1 interval
1 divergent at -1
1 reason
1 divergent at 1
1 reason</p>

<p>b: 4 points
1 f'(0)
1 f''(0)
1 maximum
1 reason</p>

71

<p>You sure it was a max?</p>

72

<p>i vaguely remember that it's max...</p>

73

<p>well, y''(0) = 4/3 - 2/4! = 4/3 - 1/12 = 16/12 - 1/12 = 15/12 > 0, which indicates that it's a relative min.</p>

74

<p>ooo then it's probably min lol</p>

75

<p>i dont think they will have 4 points alone dedicated to the endpoints.
maybe 2 points. probably some points given for ratio test and finding the interval.</p>

76

<p>form B tests aren't the tests taken at the delayed testing/make-up test date, but rather from people in various international regions across the world...</p>

77

<p>The answers are out at <a href="http://users.adelphia.net/%7Esismondo/AP2006.html%5B/url%5D"&gt;http://users.adelphia.net/~sismondo/AP2006.html&lt;/a>. There are some mistakes, though.</p>

78

<p>is there a chance for me to get a five if i get a 33 on MC and around 40 on FR?!?!?!?!?!??! i'm so scared i messed up on mc MC WAS HARD</p>

79

<p>i got every answer right except for 3b and 3d. mc was a little tricky tho</p>

80

<p>prometheus....what mistakes did he make???</p>