| msu-precalc03-008 A math professor carrying 3 blue hats and 2 white hats approaches three math graduate students. The professor lines up the three math students so that the last one in line can see the two ahead of him while the middle one in line can only see the one in front of him. The math professor then places one hat on each of the students' heads so that each student cannot see that hat that is on his or her own head. The math professor asks the last student in the line ``Can you tell me, without a doubt, what color hat you are wearing without looking at it?" The student responds, ``No." The professor then asks the middle student the same question and this student also responds, ``No." The professor then asks the first student in line the same question to which he responds, ``Yes, I know without a doubt the color of my hat." What color is this student's hat and how does she know what color it is? |
| msu-precalc09-006 Find the vertex, line of symmetry, the minimum (or maximum) and the respective $x$-value, the range, intervals where the function is increasing and decreasing and also the $x$-intercepts.
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| msu-precalc13-006 For the polynomial $f(x)=a(x-1)(x-2)(x+4)$
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| test-taking |
| ucf02-002 Miscellaneous questions from old Math 1A quizzes.
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