Math 214 Assignment 7 - Assignment 7(MATH 214 B1 1(a Find parametric equations of the curve of intersection of the plane z = 1 and the sphere x2 y 2 z 2

Math 214 Assignment 7 - Assignment 7(MATH 214 B1 1(a Find...

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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) = (2t2,1t,3 +t2) intersect the plane3x14y+z10 = 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).

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