equation of tangent

Problem
What is the equation of the normal to the curve $x^2 + y^2 = 25$ at (4, 3)?

A.   $4x + 3y = 0$ C.   $3x + 4y = 0$
B.   $3x - 4y = 0$ D.   $4x - 3y = 0$

 

Equation of a curve with given equation of slope and passing through a point

Problem
What is the equation of the curve passing through the point (3, -2) and having a slope at any point (x, y) equal to (x2 + y2) / (y3 - 2xy)?
 

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