Find the mass \(M\) of a thin rectangular plate with density…
Find the mass \(M\) of a thin rectangular plate with density \(\delta(x,y) =x+y+1\), cut from the first quadrant by the lines \(x=0\), \(x=6\), \(y=0\) and \(y=1\). Enter your answer in the answer box below without spaces. \(M\)=
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Find the value of \(b\) so that the tangent plane to the surface \(z=f(x,y)=x^3+y^3+3x^2+2y^2+b\) at the point \((1,2)\) goes through the origin (i.e. the point \((0,0,0)\)). Enter your answer in the answer box below without spaces. \(b\) =
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