f(x, y, z) dz dy da as an iterated integral in the 4. (6 points) Rewrite...
The figure shows the region of integration for the integral. fx, y, z dy dz dx 0 Jo Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume yx) 6x and z(x)-36-) x. f(x, y, 2) dy dx dz x, , z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz fx, y, z) dx dy dz J0 Jo Jo f(x, y, z) dz dx dy 0 0 f(x, y,...
16. o integrad [**** The triple da dy dz describes the solid pictured at right. Rewrite as an equivalent triple integral in the following orders (DO NOT EVALUATE): 31 (a) dy dz dx (b) du dz dy 2. 16-2 21. Given dy da, 16- (a) Sketch the region of integration and write an equivalent iterated integral in the order dx dy. (You do not need to evaluate it!) (b) Now write it as an equivalent iterated integral in polar coordinates....
Write an iterated integral for SSS fex,y,z) av. S = {(x, y, z): 0 sxs8,0 sy s5,0<zs (5 - 6x - 2y)} 5 S 5-6x - 2y f(x, y, z) dz dy dx 5 8 5 f(x, y, z) dz dy dx s 8 5 5 - 6x - 2y f(x, y, z) dz dy dx 5 666 8 5 5 - 6x - 2y f(x, y, z) dx dy dz
Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer:
+ -/15 points scacats 15.6.033. The figure shows the region of integration for the integral. ["lib.*rex, y, z) oz oy ok f(x, , z) dz dy dx Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume y(x) = x and z(y) = 9 - y.) ;Y, 2) dz dx dy Y, 2) dx dy dz R(x, y, z) dx dz dy f(x, y, z) dy dx dz F(x, y, z) dy dz dx
4. Rewrite the following triple integral so that the order of integration is dy dx dz. Do not evaluate it. (3x + y) dz dy dit
The figure shows the region of integration for the given intsgral. Rewrite the integral as an equ valent iterated integral in the five other orders z20 dz dy dx dy dx dz dy dx dz dy de dx dx dz dy dx dy dz dx dy dz z. 2 3 z-3-y 0
The figure shows the region of integration for the given intsgral. Rewrite the integral as an equ valent iterated integral in the five other orders z20 dz dy...
QUESTION 2 Solve the problem. Write an iterated triple integral in the order dz dy dx for the volume of the tetrahedron cut from the first octant by the plane yz + 9(1 -y/10)3(1 -x/9-y/10) a dz dy dx 0 0 0 10(1 -x/9) ,3(1-x/9-y/10) 9 dz dy dx 0 0 1-x/9-y/10 C.9 1 -y/10 dz dy dx 0 0 0 d. 9 1 -x/9 1-x/9-y/10 dz dy dx 0 0 0
4. (5 points) Express the integral JI f(x, y, z) dV as an iterated integral in 6 different ways, where E is the solid region bounded by y2 + z-9. x--2, and x-2.
4. (5 points) Express the integral JI f(x, y, z) dV as an iterated integral in 6 different ways, where E is the solid region bounded by y2 + z-9. x--2, and x-2.
Do not evaluate, rewrite the integral using spherical coordinates 25-x² - y2 1 dz dx dy 05 NUS y=0 X-O Z=o