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# finB05ans - ≤ 3 π 2 There are many other possible...

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MAC 2311 Dec 14, 2005 Final Exam B answers [review topics] Prof. S. Hudson I plan to post the questions separately; this page has answers only. The average was approx 66/100. The lowest grades were on the parametric equation problem (averaging about 3.7/10). 1a) sec 3 x + sec x tan 2 x 1b) y 0 = 12 tan 3 ( x 3 ) x 2 sec 2 ( x 3 ) 1c) y 0 = 2 x 10 y +cos y 1d) y 0 = 2 x ln 2 2a) 1/3 2b) - 1 /x 2 2c) e 4 3a) The l.l.a is the formula 1 + x 3b) e 0 . 5 1 . 05 4) I expected you to remember that the usual parametrization of the unit circle is x = cos( t ) and y = sin( t ) with 0 t 2 π . Since we only want the third quadrant, we replace 0 t 2 π by π t
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Unformatted text preview: ≤ 3 π/ 2. There are many other possible answers. 5) See the textbook. Most people chose A, but some of the answers were very short on words. For example, I wanted to see the phrase by the deﬁnition of derivative twice, and some remark about continuity at the end (as well as correct algebra and notation). 6) TTTTT (I didn’t notice this pattern until I wrote the key !) 7) It is a straight line. B) Nobody got this one. See the text or lecture notes. ln | sec x + tan x | . 1...
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