Problem 2. Find the value of a > 0 such that the cone 22 = x² + y?, z > 0 is orthogonal to the paraboloid z = 2 – a(r² + y?) at every point on their intersection. %3D

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Chapter2: Second-order Linear Odes
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Problem 2. Find the value of a > 0 such that the cone 22 = x² + y², z > 0 is orthogonal
to the paraboloid z = 2 – a(x² + y?) at every point on their intersection.
Transcribed Image Text:Problem 2. Find the value of a > 0 such that the cone 22 = x² + y², z > 0 is orthogonal to the paraboloid z = 2 – a(x² + y?) at every point on their intersection.
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