$335$ HIGHER ENGINEERING MATHEMATICS has a 5. Find the values of constants $α$ $7$ $b,$ $c$ c so that the directional derivative of $p=axy^{2}+byz$ $+cz^{2}x^{3}$ at $\left(1,2,-1\right)$ $2006\right)$ (Rajasthan, maximum magnitude $64$ in the direction parallel to the $z-aX1S$ hore $.$ $Bis$ $\left(2,6,-1\right)$ 6. Find the dirogtio

$2.$ Find the values of constants $a,b,c$ so that the directional derivative of $p=ayx^{2}+by^{2}z+cxz^{2}$ $at$ $\left(1,1,1\right)$ has a maximum magnitude $27$ in the direction parallel to the $x-$ $-a\times 1s$ $3$ Find parametric representation of tangent line to the curve $x=t,y=2t^{2},z=3t^{3}$ $att=2$ $4.$ Find unit normal vector to the surface $e^{xy}\left(x+y+z\right)=3$ at $\left(0,1,2\right)$

Imagnitude ol this maxImum? $4.65$ Find the values of the constants $a,$ $b,$ and $c$ so that the directional derivative of o $=axy^{2}+byz+c2^{2}x^{3}at$ $\left(1,$ $2,$ $-1\right)$ has a maximum of magnitude $64$ in a direction parallel to the $z$ axis.