Practice Questions

Practice Questions - MIT OpenCourseWare http:/ocw.mit.edu...

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MIT OpenCourseWare http://ocw.mit.edu 18.01 Single Variable Calculus For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . Fall 200 6

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18.01 Practice Questions for Exam 2 Solutions will be posted on the 18.01 website. No books, notes, calculators. Show work. 1. For the function 3 x 5 5 x 3 + 1, sketch the graph over a suitable interval showing all the local maximum and minimum points on the graph, the points of inﬂection, and the approximate location of its zeros (show on which intervals of the form [ n, n + 1], ( n is an integer) they occur. Show work, or indicate reasoning. 1 2. Sketch the graph of 4 x 2 over an interval showing its interesting features local x maxima and minima, points of inﬂection, zeros, asymptotes. 3. A line of negative slope through (1 , 2) cuts oﬀ a triangle in the ±rst quadrant. For which such line will the triangle have least area? (Use its slope m as the independent variable. Show
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This note was uploaded on 10/10/2011 for the course MATH 31 taught by Professor Blake during the Spring '11 term at MIT.

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Practice Questions - MIT OpenCourseWare http:/ocw.mit.edu...

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