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Assuming that the equation below defines y as a differentiable function of x, find the value of dy / dx at the given point. 2x +xy+y - - 8 =0, (1,2) dy (Type an integer or a simplified fraction.) dx (1.2)Find and sketch the level curves may} = c on the some set of coordinate axes for the given values of c. We refer to These level curves as a contour map. fix-5']=1|'23-x2-v21c= r1: 1.13.4 Choose the correct contour map below. 2 Find when r = 1 and s= - 1 ifw=(x+y+z) , x=r - s, y= cos (( + s), z = sin (r+ s). dw r=1, 3= - 1 (Simplify your answer.)The temperature T = T(x,y) in "C at point (x.y) satisfies Tx (1,7) = 4 and Ty(1,7) = - 10. If x= e 41 - 4 cm and y =7 + Int cm, find the rate at which the temperature T changes when t= 1 sec. When t= 1 sec, the temperature changes at a rate of PC per sec