Consider the hyperboloid defined by the equation x² + y² - z² = 4. Use implicit differentiation to determine the expressions for dy/dx and dy/dz. Then, use this information to determine the points on the hyperboloid where the tangent plane at a point is parallel to the plane -x + y + 2 z = 5

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Consider the hyperboloid defined by the equation x² + y² - z² = 4. Use implicit differentiation to determine the expressions for dy/dx and dy/dz. Then, use this information to determine the points on the hyperboloid where the tangent plane at a point is parallel to the plane -x + y + 2 z = 5

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