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


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

2196_b80ff51d-46fb-43b0-8bef-d4d581219fef.png

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

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