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

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