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Q2. (a) The force produced on a ship’s rudder, FkN, varies directly as the area of the rudder,

A m², the square of the ship’s speed, V knots, and the sine ratio od the rudder angle, q°.

For a ship travelling at 15 knots, with a rudder area 22m² operating at an angle of 28° when the ship’s speed is 280kN.

Calculate the force on a similar rudder of area 25 m² operating at an angle of 28° when the ship’s speed is 20 knots:   (8)

(b) fully factories EACH of the following:

(i) 12x² - 28x + 15;                   (2)

(ii) 36x³ - 4xy²;    (3)

(iii) 3x³ + 2x² - 15x - 10 (3)