This is a part of a single question and I am having doubts in these two sub-questions. Could you please provide the whole answer with clear details?

Thank you.

(e) A quadratic Bzier curve S, can be defined by the equation given in (a) with n=2. If each of the vertices Vi translates along a path, then the Bzier curve S, becomes a surface. If each path is a Bzier curve defined by four vertices, the resultant surface is a Bzier surface. Derive the equation of the Bzier surface S/(u,v) if the ith vertex V translates along the path that is defined by a Bzier curve with control vertices Vija where j=0,1,2,3. Express the surface equation Sy(u, v) in terms of Vije Viz Vi V=VO S; V3 6 marks) Show that the iso-parametric curve at u=0.5 in the surface S/(u, v) defined in part (e) is a Bzier curve. Find the control vertices of this Bzier curve in terms of the vertices Vij. What is the degree of this Bzier curve? (8 marks) (e) A quadratic Bzier curve S, can be defined by the equation given in (a) with n=2. If each of the vertices Vi translates along a path, then the Bzier curve S, becomes a surface. If each path is a Bzier curve defined by four vertices, the resultant surface is a Bzier surface. Derive the equation of the Bzier surface S/(u,v) if the ith vertex V translates along the path that is defined by a Bzier curve with control vertices Vija where j=0,1,2,3. Express the surface equation Sy(u, v) in terms of Vije Viz Vi V=VO S; V3 6 marks) Show that the iso-parametric curve at u=0.5 in the surface S/(u, v) defined in part (e) is a Bzier curve. Find the control vertices of this Bzier curve in terms of the vertices Vij. What is the degree of this Bzier curve? (8 marks)