4. We are building a thin triangular plate with variable density. The triangle has vertices (0,...

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4. We are building a thin triangular plate with variable density. The triangle has vertices (0, 0), (2,0), and (2,4), and the density (in g/cm²) at each point in the triangle is given by the formula 8(x, y) = 5+4x-6y + y². At what point(s) is the density of the triangle the least or the greatest? What is the density at these points? (Use either method to check for extrema along curves.) 4. We are building a thin triangular plate with variable density. The triangle has vertices (0, 0), (2,0), and (2,4), and the density (in g/cm²) at each point in the triangle is given by the formula 8(x, y) = 5+4x-6y + y². At what point(s) is the density of the triangle the least or the greatest? What is the density at these points? (Use either method to check for extrema along curves.)

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density so fx fy sy fhy stukbyty Bounded by 0x2 6 2y Boundary po... View the full answer