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Replace beta with 0301202 2. Replace B in this question with the second to last digit of your student number. Consider the surface, S, in

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Replace beta with 0301202

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2. Replace B in this question with the second to last digit of your student number. Consider the surface, S, in R3, given by the equation 2 - y B+2 + x y . (a) Show that the point with co-ordinates (-1, 1, 0) lies on the surface S. (b) Is the tangent plane to the surface S at the point with co-ordinates (-1, 1, 0) horizontal (i.e. parallel to the xy-plane)? (Give a reason for your answer. ) [2 marks]

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