Let T be the triangle with vertices \( (0,0),\left(0, c^{2}\right) ...

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Let T be the triangle with vertices \( (0,0),\left(0, c^{2}\right) \) and \( \left(\mathrm{c}, \mathrm{c}^{2}\right) \) and let \( \mathrm{R} \) be the region between \( \mathrm{y}=\mathrm{cx} \) and
P \( y=x^{2} \) where \( c0 \) then

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(a) \( \operatorname{Area}(\mathrm{R})=\frac{\mathrm{c}^{3}}{6} \)
(b) Area of \( \mathrm{R}=\frac{\mathrm{c}^{3}}{3} \)
(d) \( \operatorname{Lim}_{c \rightarrow 0^{+}} \frac{\operatorname{Area}(\mathrm{T})}{\operatorname{Area}(\mathrm{R})}=\frac{3}{2} \)
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