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Hi mate, P will be the locus of the circle on the Argand diagram. Think of angle in the same segment in circle geometry with the angle being pi/3... -3 ie. (-3, 0) and 2i ie. (0, 2) will form the chord of the circle. Cheers Stuart

Hi, Let P(s) = s^3 + 5s^2 + 8s + 4 P(-1) = (-1)^3 + 5.(-1)^2 + 8.-1 + 4 = -1 + 5 - 8 + 4 = 0 So, s+1 is a factor So, P(s) = (s + 1)(s^2 +k.s + 4) coeff of s^2 = 1 + k = 5, so k = 4 P(s) = (s + 1) (s^2 + 4s + 4) = (s+1)(s+2)^2 Stuart

Hi mate, My answer would be: The equation of the curve is x^2y^2 - x^2 + y^2 = 0. a. Show that the numerical value of y is never greater than the corresponding value of x. (3 marks) Ans: y^2 = x^2 - x^2.y^2 so, y^2 <= x^2 (coz x^2.y^2 always >=0 ) so, root y^2 <= root x^2 so, |y|<=|x| so, the...

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Hi all, My brother is currently teaching and tutoring 3U and 4U mathematics and is offering tuitions to Yr11 and Yr 12 students in Sydney metropolitan. He has years of experience in it. The tuitions are very reasonably priced. He can come to your home. If you are looking for a tutor...