1) Find correct to six decimal places root of the equation cos(x)= x for xE[0, pi/2] using Newton's Method.
2) A triangle has two constant lengths of 10 cm and 15 cm. The angle between two constant sides increases at a rate of 9 deg/min. Find the rate of increase of the third side of the triangle when the angle between the two constant sides is 60 deg.
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