Let T be the tetrahedron in R bounded by the planes x = 0, y =...

 

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Let T be the tetrahedron in R° bounded by the planes x = 0, y = 0, z = 0 and 8x + 5y + z = 5. SupposeT has a density function given by p(x, Y, z) = 4x²y+ 4yz. Determine the correct bounds A-C, and the correct integrand D for the integral that computes the mass of T. Note: use the specified order of integration. (T) = " Mass( D dz dy dx. 0. For A-C, your input should be numbers with accuracy of at least two significant figures. If you do not think that a particular variable should be included in a particular bound, enter 0 as it's coefficient. A = ( ) x + ( ) y + ( ) z + ( B = ( ) x + ( )y + ( ) z + C = ( ) x + ( )y + ( ) z + ( D =O (a) 1 O (b) Vx? + y² (4x²y+ 4yz) O (c) Væ² + y? O (d) 4x²y+ 4yz Let T be the tetrahedron in R° bounded by the planes x = 0, y = 0, z = 0 and 8x + 5y + z = 5. SupposeT has a density function given by p(x, Y, z) = 4x²y+ 4yz. Determine the correct bounds A-C, and the correct integrand D for the integral that computes the mass of T. Note: use the specified order of integration. (T) = " Mass( D dz dy dx. 0. For A-C, your input should be numbers with accuracy of at least two significant figures. If you do not think that a particular variable should be included in a particular bound, enter 0 as it's coefficient. A = ( ) x + ( ) y + ( ) z + ( B = ( ) x + ( )y + ( ) z + C = ( ) x + ( )y + ( ) z + ( D =O (a) 1 O (b) Vx? + y² (4x²y+ 4yz) O (c) Væ² + y? O (d) 4x²y+ 4yz