$($Q $1).$ Determine and plot the equation of cubic spline curves $($i$.$e$.,$ Hermite curve$)$ from the following

position vectors

Point $1$: A $($P$0)=[1,5]$

T

and slope at A $=45\backslash$deg

Point $2$: B $($P$1)=[4,1]$

T

and slope at B $=60\backslash$deg

and by considering the magnitude of tangent vectors $=1,2,3,6,$ and $12$

$($incorporate free hand sketch or image with sketching tool wherever applicable$)$