Please try helping with all three questions.......please
1 point) Integratef(x, y, z) 6xz over the region in the first octant (x,y, z 0) above the parabol...
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...
12xz dV, where S is the solid region in the first octant (x, y, z > 0) that lies above the parabolic cylinder z = y2 and below the paraboloid Evaluate the triple integral I = 1] 1222 dV, where S ist 2= 8 – 2x2 - y2.
(1 point) y2 and below the paraboloid 8xz over the region in the first octant(x, y, z 0) above the parabolic cylinder z Integrate f(x, y, z) Answer: (1 point) y2 and below the paraboloid 8xz over the region in the first octant(x, y, z 0) above the parabolic cylinder z Integrate f(x, y, z) Answer:
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,...
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...
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...
please show complete work 25) Use a triple integral in the coordinate system of your choice to find the volume of the solid in the first octant bounded by the three planes y =0 z 0, and z 1-x x y2. Include a sketch of the solid as well as appropriate projection and an Hint: for rectangular coordinates, use dV might not be given in the exam dz dy dx. This hint 25) Use a triple integral in the coordinate...
Question 11 A solid in the first octant, bounded by the coordinate planes, the plane (x= a) and the curve (z=1-y). Find the volume of the solid by using : #-Double integration technique (Use order dy dx) a=51 b-Triple integration technique (Use order dz dy dx) ..
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...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...