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Items 7 and 8
| 1) | Find the locus points which are equidistant from the planes of equations 3 x - 4 and + 5 = 0 and 2 x - 2 and + z + 9 = 0 Solution |
| 2) | points P (0, 1, 0) and Q (-1, 1, 1) are two vertices of a triangle, and the third, S, belongs to the line  . The line containing P and S is perpendicular to the line r . a) Determine the coordinates of S. b) Calculate the area of \u200b\u200btriangle PQS Solution |
| 3) | Calculate:  and  Solution |
| 4) | Have a real root of equation x sin + 2 x + 1 = 0? Justify it. If the answer is yes, determines a wide range of less than 2 which is the root. Solution |
| 5) | made in a company assembly line. The number of stunts performed by an inexperienced worker depends on training days as function  a) Find k to be a continuous function. b) Represents the function knowing that period is one month training. c) What would happen if the number of training montages out much longer? Solution |
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