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Under what conditions on x andor y is the tangent line to

Question: 1. (a) Find dy/dx given that x² + y² - 4x + 7y = 15.

(b) Under what conditions on x and/or y is the tangent line to this curve horizontal? Vertical?

2. (a) Find the slope of the tangent line to the ellipse

(x²/25) + (y²/9) = 1 at the point (x, y)

(b) Are there any points where the slope is not defined?

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Mathematics: Under what conditions on x andor y is the tangent line to

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