1.6. For the values of n indicated below graph the surface in R3 defined by x" = y2z. Determine all the points where the

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1 6 For The Values Of N Indicated Below Graph The Surface In R3 Defined By X Y2z Determine All The Points Where The 1 (60.21 KiB) Viewed 43 times

1.6. For the values of n indicated below graph the surface in R3 defined by x" = y2z. Determine all the points where the surface does not have a well-defined tangent plane. (As a preliminary step, determine the intersection of each surface with a general plane parallel to one of the coordinate planes. To investigate the tangent planes, write the equation of the surface as p(x, y, z) = 0, where p(x, y, z) = x" — y2z, and then find the gradient of o. You may use output generated by computer.) (i) n = 0. (ii) n = 1. (iii) n = 2. (iv) n = 3.