24 samplemid1

24 samplemid1 - Sample Mid-term One Math 20E Section B,...

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Unformatted text preview: Sample Mid-term One Math 20E Section B, Winter 2011 UCSD Name: ID Number: Section : Instructions: NO CALCULATOR. CLOSE BOOK, CLOSE NOTES, except for the formula sheet attached ID WILL BE CHECKED. GET IT READY! SHOW ALL YOUR WORK! (The final answer without steps only earns partial credits.) 1. Given three points P = (1 , 2 , 0), Q = (0 , 1 , 2) and R = (4 , , 1), ( a ) find the equation of the plane containing these three points. ( b ) find the area of the triangle formed by these three points. 2. Find the distance from point (1 , 1 , 5) to the plane 12 x + 13 y + 15 z + 2 = 0. 3. Evaluate the determinant, try to expand using different rows/columns vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle 2 1 0 4 3 2 3 1 vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle vextendsingle . 4. Express the surface z = x 2 + y 2 in a) cylindrical, b)spherical coordinates....
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This note was uploaded on 04/28/2011 for the course MATH 20E taught by Professor Enright during the Spring '07 term at UCSD.

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24 samplemid1 - Sample Mid-term One Math 20E Section B,...

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