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Consider a surface S given by A point P on this surface is given by r(0,0,0, 3 (a) Find the norma...

Consider a surface S given by A point P on this surface is given by r(0,0,0, 3 (a) Find the normal curvature of the surface a

Consider a surface S given by A point P on this surface is given by r(0,0,0, 3 (a) Find the normal curvature of the surface at an arbitrary point (θ,t) in terms of (d, d). (b) Find the principal curvatures of the surface at an arbitrary point (0, t) c)Find two unit tangent vectors to S at P that point in the principal directions. (d) The vector v (-4, 1,3) is tangent to S at P. Find the normal curvature of S at P in the direction of v.

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