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Let f(x, y) = x8 y2 + 3y+ 8ye2z, and C = {(x, y) |x y' + 3y+8ye2z = 33}. Find the numbera such that

Let f(x, y) = x8 y2 + 3y+ 8ye2z, and C = {(x, y) |x y' + 3y+8ye2z = 33}. Find the numbera such that the vector ( a, 11 ) is perpendicular to the curve C at the point (0, 3). Do not round the answer. Hint: The curve C is a level set of the function f

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