Exercise 5.4(6,8,9,10)

Calculus 3 (Triple Integrals)

Find the mass of the right pyramid that has a square base in the xy-plane. 1 S a: g 1, 1 g y S 1, the vertex at (0, 0,4) and density f(E, y, z) = $2. The graph shows a pyramid with the vertex at (0,0,3). Your problem will have a different value for the vertex. Round your answer to four decimal places. Pyramid The temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane as + y + z = 1 is T(;c, y, z) = (my + 8z 4) degrees Celsius. Find the average temperature over the solid. (Answer to 3 decimal places). Average Value of a function using 3 variables I x Question v I I E4011 pt '03 899 @Details Score on last try: 0 of 1 pts. See Details for more. I, > Next question I 8 Get a similar question You can retry this question below Evaluate the triple integral of the function f(:c, y, z) = 9:1: 2y over the solid tetrahedron bounded by the planes :1: = 0, y = 0, z = 0, and :I: + y + z = 1. (Answer accurate to 4 significant figures). Evaluation of a Triple Integral X Ydlow: f(x.y.z), Green: terahedron Hint: If the middle integral is y, then set 2:0 for the equation x+y+z=1 to define the y upper limit 8 Oops - try again. 0.4583 x X Question 10 0/1 pt 9 3 99 8 Details Score on last try: 0 of 1 pts. See Details for more. Get a similar question You can retry this question below Evaluate ( z sin (z) + y2 )dV B = {(x, y, z)|- 6 - 1 , 4