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The real numbers are a subset of the rational numbers. 

13. (4pts) What is the smallest drain voltage (VD) before the device falls into the linear region?  Show your work on paper – no need to submit an answer here.

19. If you put in effort to learn, but do terrible on this exam what happens?

Make sure to answer questions 5, 6, 7 on paper and show your work. Submit questions 5, 6, 7 to the Midterm Exam Upload Assignment, including the answer with units, and put a box around the final answers. Part 2: Diodes Diodes are frequently used to clamp input pins (Vin) of MOS integrated circuits to prevent excess voltage (positive or negative) from reaching sensitive MOS circuitry.  For questions 5 & 6, you will assume perfect conductance from the input pin to the supply and ground (i.e. R1 = R2 =

8. What direction would the current, I, from question 7 flow? 

18. What are the three terminals of a typical enhancement-type MOSFET?  

Which of the following statements about k-Means clustering is False? 

In the second stage of the demographic transition __________.

In the 1800s, almost everyone lived __________.

Helen is a professional who lives and works in Manhattan. She enjoys the arts and entertainment opportunities that are offered by living in a city. She represents the __________.