By solving Laplace equation in 2D, determine the steady state temperature of a thin rectangular plate bounded by the lines x=0 , x = w, y=0 , y = b, assuming that the edges x=0 , x=w, y=0 are maintained at zero temperature and the edge y=b is maintained at steady state temperature F( x)=x

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Q: Give the equation of the normal line the graph of sin" (x³) + (log3 y) 3 aut le 1)

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A: given

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Q: 2) Consider the function g(x,y) = y+x a. Graph the domain of the function, and the z = 0,1,2 level…

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Q: what are the stable equilibria (X1 ,X2)?

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.