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\( =6 \mathrm{x}-4 \). If \( \mathrm{h}(\mathrm{x}) \) has local minima value 5 at
\( x=1 \), then which of the following are (is) correct?
(a) Tangent to \( \mathrm{y}=\mathrm{h}(\mathrm{x}) \) at \( (2,7) \) is \( 5 \mathrm{x}-\mathrm{y}=3 \).
(b) Area bounded by \( y=h(x), y=g(f(x)) \) between \( x=0 \) and \( x=2 \) is \( \frac{32}{3} \).
(c) Area bounded by ordinates of local maxima, local minima, \( \mathrm{y}=\mathrm{h}(\mathrm{x}) \) and \( \mathrm{x} \)-axis can be expressed as \( \int_{\frac{1}{3}}^{1}\left(\left(\frac{4}{3}-x\right)^{3}-2\left(\frac{4}{3}-x\right)^{2}-x+\frac{19}{3}\right) d x \)
(d) Area bounded by \( y=h(x) \), its tangent at \( (2,7) \) and \( y \)-axis is \( \frac{20}{3} \).
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