Hello
Please let me know if you need more explanation.
Thank you
(14) 1. This problem investigates the iterated integral I - Jxdy dz. . a) Compute I. b) Use the a...
Q3. Sketch the region of integration for the integral [5(8,19,2) dr dz dy. (2, y, z) do dzdy. Write the five other iterated integrals that are equal to the given iterated integral. Q4. Use cylindrical coordinates and integration (where appropriate) to complete the following prob- lems. You must show the work needed to set up the integral: sketch the regions, give projections, etc. Simply writing out the iterated integrals will result in no credit. frs:52 (a) Sketch the solid given...
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...
f(x, y, z) dz dy da as an iterated integral in the 4. (6 points) Rewrite the integral order dx dy dz.
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,...
Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer:
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
5. Set up iterated integrals for both orders of integration. Then evaluate the double integral using the easier order. ∫∫Dy dA, D is bounded by y = x - 20; x = y2 9. Find the volume of the given solid. Bounded by the planes z = x, y = x,x + y = 7 and z = 0 14. Evaluate the double integral. ∫∫D 4y2 da, D = {(x,y) I-1 ≤ y ≤ 1, -y - 2 ≤ x ≤ y}
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
calculus 3. Answer all of the following, I will rate your work if you do so. Evaluate the double integral || xy2da, where Ris the region in the first quadrant enclosed by the circle x2 + y2 = 4 and the lines x = 0 and y = x. Evaluate the iterated integral. 1 ya x-y xy dz dx dy xy dz dx dy 0 V The figure below shows the solid region Ein the first octant bounded by the...
Please show full solutions so i can understand 3. (i) 3pl Set up iterated integrals for both orders of integration forev dA, where D is the region in the ry-plane bounded by y -,4, and z-0 (ii) [3p] Evaluate the double integral in part (i) of this question using the easier order of integration. (ii) [3pl Find the average of the function f(, y) yey over the region D. 3. (i) 3pl Set up iterated integrals for both orders of...