E2: A curve have equation: Please see attached file for full detaiils.

E2 : A Curve have equation: 42=23+2 & can be parametrizationgh r (+)= (t4, E-t where t is a real parameter. 1 ) Sketch the curve 2 ) Show that r(t) lies on the curve for all t () Why is r' ( ) perpendicular with the gradient Jf ( r (+) ) If flocry) = 42 23 - x2