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}
See dear these all are different lengthy problems. According to HOMEWORKLIB RULES I have to solve only the first question when multiple questions are given. So I am solving first question. Hope similarly you can solve other questions.Rate it.
set up iterated integrals for both orders of integration. then evaluate the double integral using the easier order and explain why it's easier. D y dA, D is bounded by y = x - 2, x=y2 (the D next to the double integral should be under the integral. I don't know how to put it in the right spot.
Set up iterated integrals for both orders of integration. Then evaluate the double integral using the easier order. ∫∫DydA, D is bounded by y = x -30; x = y2
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...
Do both questions and show all steps for good rating. Thanks. 7. Set up an iterated double integral to compute the volume of the solid bounded above by r2 y and below by the region R that is a triangle in the ry-plane with vertices (0,0), (0,3) and (5,3). z = (8) Do not evaluate. Exam 2-u ath 260-01 8. Set up a double integral in polar coordinates to find the volume of the solid bounded by zry 2 =...
Thanks In evaluating a double integral over a region D, a sum of iterated integrals was obtained as follows: 0 f(x, y)dy dr f (r, y)dy d f(x, y) dA -2 2 TJ= Sketch the region and express the double integral integration as an iterated integral with reversed order of
6) Consider the solid region E bounded by x-0, x-2, 2-y, 2-y-1, 2-0, and 24, set up a triple integral and write it as an iterated integral in the indicated order of integration that represents the volume of the solid bounded by E. (Sometimes you need to use more than one integral.) (a) da dy dz (projecti (b) dy dz dr (projection on rz-plane) (c) dz dy dx (projection on ry-plane) (d) Calculate the volume of the solid E on...
13. (5 points) Reverse the order of integration for the following iterated integral. You do not have to integrate. cos y dy dx 14. (5 points) Integrate the function g(r,0) = p sin over the sector of a disc in the first quadrant bounded by the circle r² + y2 = 1, the circle r² + y2 = 4, the line y = rV3, and the r-axis. 15. (5 points) Convert the following iterated integral from Cartesian to polar. You...
Problem 5 [10 points] Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R: A R region bounded by y 0, y x, x 4 R 1+x2 a) [2 points] First order b) [2 points] Second order c) [6 points] Evaluate the integral using the more convenient order Problem 5 [10 points] Set up integrals for both orders of integration. Use the more convenient order to evaluate the...
Find the volume of the given solid region in the first octant bounded by the plane 2x + 2y + 4z4 and the coordinate planes, using triple integrals 0.0(020 Complete the triple integral below used to find the volume of the given solid region. Note the order of integration dz dy dx. dz dy dx Use a triple integral to find the volume of the solid bounded by the surfaces z-2e and z 2 over the rectangle (x.y): 0 sxs1,...
Set up, but do not evaluate, two different iterated integrals equal to NI xyzds where o is the portion of the surface y2 = x between the planes z = 1, z = 7, y = 3, and y = 4. In the first integral, identify u with y, and in the second integral, identify u with x. 16 uvuv4u + 1dudy 4 1 4u + 1dudv and uvuv + 1dudy 4u 4 Trvvite + Idude and ["C" Il tuo...