Test3-FS04 - Phys 208 Theoretical Physics Test 3 - Dec. 3,...

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Phys 208 – Theoretical Physics – Test 3 -- Dec. 3, 2004 1.(25 pts) Given . Fxyz x y z (,,) s i n () =+ a) Find at (1, 2, π /2). G F b) Find a unit vector in the direction of most rapid increase of F at (1, 2, π /2). c) Find the directional derivative of F at (1, 2, π /2) in the direction . 43 ±± ij + 2.(25 pts) a) In cylindrical coordinates evaluate . G ∇× ( ± ) rze θ b) In spherical coordinates evaluate and . G ∇• ± e r r 2 G ( ± sin ) e 3.(25 pts) Let two dice be thrown. There are 36 possible outcomes or points in a uniform sample space for this problem. Let a , b represent an outcome where the number a is the number on the first and the number b is the number on the second die. Then all possible outcomes will be 11 12 13 14 15 16 21 22 23 24 25 26 31 32 33 34 35 36 41 42 43 44 45 46 51 52 53 54 55 56 61 62 63 64 65 66 ,, Let x represent the gain in rolling the two dice, that is the amount of money given you if you roll a certain total number, a + b . Suppose x
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This note was uploaded on 01/08/2011 for the course PHYS 208 taught by Professor J.peat during the Spring '10 term at Missouri S&T.

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Test3-FS04 - Phys 208 Theoretical Physics Test 3 - Dec. 3,...

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