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Question Number 200736 by Calculusboy last updated on 22/Nov/23

$$\mathit{S}\mathit{o}\mathit{l}\mathit{v}\mathit{e}:\mathit{A}\mathit{p}\mathit{a}\mathit{r}\mathit{t}\mathit{i}\mathit{c}\mathit{l}\mathit{e}\mathit{m}\mathit{o}\mathit{v}\mathit{e}\mathit{s}\mathit{a}\mathit{l}\mathit{o}\mathit{n}\mathit{g}\mathit{t}\mathit{h}\mathit{e}\mathit{s}\mathit{p}\mathit{a}\mathit{c}\mathit{e}$$$$\mathit{c}\mathit{u}\mathit{r}\mathit{v}\mathit{e}\underset{-}{\mathit{r}}=({\mathit{t}}^2+\mathit{t})\mathit{i}+(3\mathit{t}-2)\mathit{j}+(2{\mathit{t}}^3-4{\mathit{t}}^2)\mathit{k}.$$$$\mathit{f}\mathit{i}\mathit{n}\mathit{d}$$$$\left(\mathit{a}\right)\mathit{v}\mathit{e}\mathit{l}\mathit{o}\mathit{c}\mathit{i}\mathit{t}\mathit{y}$$$$\left(\mathit{b}\right)\mathit{s}\mathit{p}\mathit{e}\mathit{e}\mathit{d}\mathit{o}\mathit{r}\mathit{m}\mathit{a}\mathit{g}\mathit{n}\mathit{i}\mathit{t}\mathit{u}\mathit{d}\mathit{e}\mathit{o}\mathit{f}\mathit{v}\mathit{e}\mathit{l}\mathit{o}\mathit{c}\mathit{i}\mathit{t}\mathit{y}$$$$\left(\mathit{c}\right)\mathit{a}\mathit{c}\mathit{c}\mathit{e}\mathit{l}\mathit{e}\mathit{r}\mathit{a}\mathit{t}\mathit{i}\mathit{o}\mathit{n}$$$$\left(\mathit{d}\right)\mathit{m}\mathit{a}\mathit{g}\mathit{n}\mathit{i}\mathit{t}\mathit{u}\mathit{d}\mathit{e}\mathit{o}\mathit{f}\mathit{a}\mathit{c}\mathit{c}\mathit{e}\mathit{l}\mathit{e}\mathit{r}\mathit{a}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathit{a}\mathit{t}\mathit{t}\mathit{i}\mathit{m}\mathit{e}\mathit{t}=2$$

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