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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
f(x, y, z) dz dy da as an iterated integral in the 4. (6 points) Rewrite the integral order dx dy dz.
Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer:
Evaluate the integral. 2 V4-y2 aproba o por con 2x+4y dz dx dy
15. (15 points. (a) Sketch the region of integration for the iterated integral . Lzi?dz dy. (b) Evaluate the above iterated integral by reversing the order of integration.
Problem 1: A) Evaluate the iterated integral. A1) S S**** S*yz dy dz dx Ans: A2) SS, (x + 2y) dV, where E is bounded by the parabolic cylinder y - xand the planes x -2, x = y, and z o Ans: And
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....
4,5 Sketch the solid whose volume is given by the iterated integral. 2-22 4. [1] 5 dydz de c2-y 5. (IT dx dz dy
NOTE: in spherical coordinates the volume is obtained by the sum of 2 iterated integrals Also, please do your best with the handwriting. Thank you very much :) Part 1 Convert the rectangular coordinate integral to cylindrical coordinates and spherical coordinates and evaluate the simplest iterated integral: 13 x dz dy dx 14 x2+ y? dz dy de Part 1 Convert the rectangular coordinate integral to cylindrical coordinates and spherical coordinates and evaluate the simplest iterated integral: 13 x dz...
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. 4. Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...