Answered: Problem 2. Find the value of a > 0 such…

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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 13AEXP

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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.

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