The question is this: (imagine any numbers after a y as subscript)
a) Given that the parabola y = (ax^2)+bx+c passes though the points (-h,y0), (0,y1) and (h,y2), show that:
i) c = y2
ii) a = (y0 - 2y1 + y2)/2h^2
b) Deduce that (limits are h and -h, but I can't write them) ∫ ((ax^c) + bx + c) dx = (h/3)(y0 + 4y1 + y2)
I have no idea where to even begin with this, please help!
a) Given that the parabola y = (ax^2)+bx+c passes though the points (-h,y0), (0,y1) and (h,y2), show that:
i) c = y2
ii) a = (y0 - 2y1 + y2)/2h^2
b) Deduce that (limits are h and -h, but I can't write them) ∫ ((ax^c) + bx + c) dx = (h/3)(y0 + 4y1 + y2)
I have no idea where to even begin with this, please help!
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If (0,y1) is a point, then c=y1...
y1 = (a(0)^2)+b*0 + c,
so y1=c, not y2.
y1 = (a(0)^2)+b*0 + c,
so y1=c, not y2.