# mid1 - Math 20C - Fall 2011 - Midterm I Name: Student ID:...

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Math 20C - Fall 2011 - Midterm I Name: Student ID: Section time: Instructions: Please print your name, student ID and section time. During the test, you may not use books, calculators or telephones. You may use a ”cheat sheet” of notes which should be at most half a page, front and back. Read each question carefully, and show all your work. Answers with no explanation will receive no credit, even if they are correct. There are 6 questions which are worth 50 points. You have 50 minutes to complete the test. Question Score Maximum 1 8 2 8 3 6 4 5 5 15 6 8 Total 50

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Problem 1. [ 8 points; 5, 3 ] Consider the points P (1 , 1 , - 2), Q (2 , 0 , 1) and R (1 , - 1 , 0). (i) Find the area of the triangle PQR . (ii) Find the equation of the plane through P , Q and R .
[ 8 points; 4, 4. ] (i) Find the constant a such that the function f ( x,y,z ) = ( x 4 y x 2 + y 2 + z 2 if ( x,y,z ) 6 = (0 , 0 , 0) a if ( x,y,z ) = (0 , 0 , 0) is continuous. (ii) Determine the following limit or explain why it does not exist

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## This note was uploaded on 11/16/2011 for the course MATH 20 C taught by Professor Ronevans during the Spring '08 term at UCSD.

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mid1 - Math 20C - Fall 2011 - Midterm I Name: Student ID:...

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