this is one problem in three parts. consider the curve in the xy plane that is g

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this is one problem in three parts. consider the curve in the xy plane that is given by the equation

X2Y+3xy2 + xy=C

where c is a constant (independent of x and y) assume that the point(2,3) is on this curve. By the way this information allows you to compute C. find an equation for the line tangent to the curve at (2,3) using three differen methods.

methodA- use implicit differentiation.

method B- use the quadratic formula to find a formula for y in terms of x. use this formula to find dy/dx at x=2

method c= use the quadratic formula to find a formula for x in terms of y. use this formula to find dx/dy at y=3 what is the relation between dy/dx at x=2 and dx/dy at y=3?

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