show that question differentiation -HELP URGENT!!!!!!!

Question

show that g(x)=dx²+ex=f is g(x)=1.61x² -30.55x + 156.51 ---- the equation between the points B(8,15) and C(11,15) where the gradient of the tangent of point B is -5.5283.

show that h(x)=px²+ux+w is h(x)= -0.23x² + 9.95x -66.24 ----- the equation between the points C(11,15) ((from above)) and D(21.36,40) where the gradient is 0 at point D

Answer 1

g(x) = dx² + ex + f

g'(x) = 2dx + e

The requirement that g passes through B means

g(8) = 15, i.e.

d×8² + e×8 + f = 15 (1)

The requirement that g passes through C means

g(11) = 15, i.e.

d×11² + e×11 + f = 15 (2)

The requirement that the tangent at point B be -5.5283 means

g'(8) = -5.5283, i.e.

2×d×8 + e = -5.5283 (3)

That gives us three equations (1), (2), (3) with three unknowns d, e, f.

My solution gives me

g(x) = 1.84276x² - 35.02846x + 177.29104

That is in the same ball park as your given solution, but the difference is significant.

The discrepancy cannot be completely attributed to rounding, because if

I plug the two solutions into g(x) I get significant differences.

I can only suggest that you check the source of the suggested solution.