Question 757001: Dear tutor,
Please help me to resolve the below-mentioned question. Thank you very much.
C1 and C2 are quadratic curves which intersect at points (0,3) and (8,s). C1 has a maximum point (m, 11) while C2 has a minimum point (m,n) where m is a positive integer.
(i) Explain why s =3
(ii) Find the value of m.
(iii) Show that the equation of C1 is y = -0.5x^2 + 4x +3
It is also known that the equation of C2 is 2y = x^2 -8x + 6.
(iv) By expressing the equation of C2 in the form y = a(x-k)^2 + h, where a, k and h are non-zero constant, find the value of n.
(v) An enclosed area A is bounded by the curves C1 and C2 for 0 < x < 8. A rectangle R, which has lengths and breadths are parallel to the x-axis and y-axis, is drawn inside the area A. By completing the square, find the largest possible perimeter of rectangle R.
Answer by solver91311(24713)   (Show Source):
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