Assignment 7 (MATH 214 B1)1. (a) Find parametric equations of the curve of intersection of the planez= 1 and thespherex2+y2+z2= 5.(b) At what points does the curver(t) = (2t2,1−t,3 +t2) intersect the plane3x−14y+z−10 = 0?2. LetCbe the curve given by the parametric equationsx=etsint,y=et,z=etcost,−∞< t <∞.(a) Find equations of the line tangent to the curve at the point (0,1,1).