Evaluate the triple integral.   3xyz dV, where T is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), and (1, 0, 1)

(x,;y, ), (x;;y, ) and (x;; y, ) witen for lpsis V2 ) y = L, (x)· yo + L, (x)· y; + L,(x)· y, written for ellipsis Which of the following is the expression of the L (x) Lagrange coefficient in the yz Lagrange interpolation formula? (x – x, Xx + x, ) O A) (x, – x, Xx, + x, ) (x+ x, Xx – x, ) (x, + x, Xxx, – x, ) (х- х. Хх — х, O E) (x, + x, Xx, + x, ) (x – x, Xx – x, ) B) (x, – x, Xx, – x, ) (x + x, Xx + x ) O D) (x, - x, Xx, – x,)

of ff za Enter the exact answer (as a whole number or fraction). . Find zdV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), (0,2,0), and (0,0,4). Submit Question

Evaluate fff z dV where E is the solid tetrahedron with vertices O(0,0,0), A(1, 0, 1), B(0, 1, 1) and C(0,0,1). Sketch the region D and E mark all points and axis. aleondy worked on