Question

Consider the curve given by the equation sin(?−?)=2?+?sin⁡(x−y)=2x+y. The equation defines ?y as a function ?(?)y(x)...

Consider the curve given by the equation sin(?−?)=2?+?sin⁡(x−y)=2x+y. The equation defines ?y as a function ?(?)y(x) near (0,0)(0,0).

(a) Find the equation of the tangent line to this curve at the point (0,0)(0,0).

(b) Find ?″(0)y″(0).

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