Consider the smooth parametric curve C 1
​
defined by equations { x=t 3
−t 2
−2t
y=[ 3
1
​
(16t 2
−48t+35)] 2
3
​
,
​
where t∈R\( 4
5
​
, 4
7
​
) 1. Find the value of t that corresponds to the point P(0,1) on the curve C 1
​
. 2. Determine the equation (in slope-intercept form) of the tangent line to the eurve C 1
​
at the point P.