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C3 .. . . . . . . . .... .... U - 7. To the right, you are given a vector field F and
C3 .. . . . . . . . .... .... U - 7. To the right, you are given a vector field F and several oriented curves. Note that the magni- ..... A . . . .F . . . . . ... ........... 4 tude of the vector field steadily decreases be- tween x = 0 and x = 3.5, and then steadily C2 CA ..... . . . .. increases in magnitude between x = 3.5 and x = 7. B 2 . . . . . . . . . . . . . . . . . . . . . . . . . . .. . ... C1 . . . . . . . . . . . . .. . . . . . . 65 - ........ A 2 4 5 6 (a) Rank the following 6 quantities in order from smallest to largest. Circle your final answer. You may wish to include brief explanations for the purpose of partial credit. F . dr, Jos F . dr F . dr , 0 , F . dr , F . dr , JC3 JC JC 2(b) Note that two points "A" and "B" have been labeled in the above diagram. If possible, draw a path C starting at A and ending at B such that S, F . dr is negative. If this is impossible, explain, using a complete sentence, why it is impossible
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