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Second Assessment
| 1) Given the vectors | to = (3, 2, -1) and b = (m , 3, m): a) Find the value of m to to and b are perpendicular. b) To m = 1, is the area of \u200b\u200bthe parallelogram determined by to and b . Solution |
| 2) Consider the flat | π ≡ 2 x + ay + 4 z - 1 = 0 and σ ≡ + ax 2 and + 4 z - 3 = 0 a) Calculate the angle π and σ when to = 1. b) Find to for π and σ are parallel. c) Determine the value of a for π and σ are perpendicular. Solution |
| 3) | Find the equation of the plane containing the  straight and perpendicular to the plane π ≡ 2 x + y + z - 2 = 0. calculates the angle between the line r and the plane π. |
| 4) | get the symmetric of P (-2, 1, 5) about the line  What is the distance between P and s ? Solution |
| 5) | Given the function f ( x) = x 5 x + + 1, find a wide range of less than 2 on which f (x ) cuts the OX axis. Solution |
| 6) | The average height (in meters) of a particular species of pine is given by the function  a) Find k to be a continuous function. b) Represents the function for a period of 15 years. c) How much tends the average height of these trees over time? Solution |
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