Table 3.

Optimal designs for the quadratic regression model: f(t) = t² + ν, t ∈ [a, b].

u(t)	v(t)	Paf(a)	Pbf(b)	p(t)f(t)
t	1	(a2 − ν)/a	−2b	2
c1 + t	c2 ± t	$\frac{(a^2-\nu +2a{c}_1)}{a+c_1}$	$\frac{\mp (b^2-\nu \pm 2b{c}_2)}{b\pm c_2}$	2
tγ	tω	((2−γ)a2−γν)a−γ−ω	((ω−2)b2+ων)b−γ−ω	((2−ω)(2− ω)+νγω)t1−γ−ω
eλt	1	(2a − (a2 + ν)λ)e−aλ	−2be−bλ	2(1 − tλ)e−tλ
eλt	e−λt	(2a − (a2 + ν)λ)	−((b2 + ν)λ + 2b)	(2 − λ2(t2 + ν)