126_Au07_MT2 - Math 126, Sections C and D, Fall 2007,...

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Math 126, Sections C and D, Fall 2007, Midterm II November 16, 2007 Name TA/Section Instructions. There are 4 questions. The exam is out of 40 points. You are allowed to use one page of notes written only on one side of the sheet in your own handwriting. You may use a calculator which does not graph and which is not programmable. Even if you have a calculator, give me exact answers. ( 2 ln 3 π is exact, 0.7 is an approximation for the same number.) Show your work . If I cannot read or follow your work, I cannot grade it. You may not get full credit for a right answer if your answer is not justiFed by your work. If you continue at the back of a page, make a note for me. Please BOX your Fnal answer. Question points 1 2 3 4 Total 1
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1. Consider the vector function r ( t ) = < 4 t + 1 , t 2 - 3 t, cos( t ) > . (a) Find the unit tangent vector T at (1 , 0 , 1). (3 points) (b) Find the normal plane to the curve at (1 , 0 , 1). (3 points) (c) Find the curvature at (1 , 0 , 1). (4 points) 2
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2. Consider the two lines
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126_Au07_MT2 - Math 126, Sections C and D, Fall 2007,...

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