Please do #16 AND #17 parts in clear legible handwriting. Explain answers in clear work and detail. The final answers are provided for each part/problem to use as a reference to check work. If both problems are not completely done, I WILL mark you down and give a thumbs down. Thank you
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Please do #16 AND #17 parts in clear legible handwriting. Explain answers in clear work and detail. The final answers ar...
Q3(a) Let W be the region above the sphere x2 + y2 + z2 = 6...
Q3(a) Let W be the region above the sphere x2 + y2 + z2 = 6 and below the paraboloid z = 4 - x2 - y2 as shown in Figure Q5(a) below: Z=4-x-y? x2 + y + z = 6 Figure Q3(a) (i) Find the equation of the projection of Won the xy-plane. (ii) Compute the volume of W using polar coordinates. [16 marks] (b) Using double integral in polar coordinates, compute the following: $$*** (2x+3y) dedy [7 marks]...
please show all work in clean and legible handwriting with all labels and steps that is properly explained for PROBLEMS #1, 2, 3, AND 4. Any incorrect answers and not solving all 4 problems...
please show all work in clean and legible handwriting with all
labels and steps that is properly explained for PROBLEMS #1, 2, 3,
AND 4. Any incorrect answers and not solving all 4 problems will
get an immediate thumbs down because they did not follow
directions, thank you
1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...
SOLUTION The solid E is shown in the top figure. If we regard it as a...
SOLUTION The solid E is shown in the top figure. If we regard it as a type 1 region, then we need to consider its projection D, onto the xy-plane, which is the parabolic region in the middle figure. (The trace of y = x2 + x in the plane 2 = 0 is the parabola y - 2 .) From y - x+ z we obtain Voor? so the lower boundary surface of Eis --Vy-and the upper boundary surface...
Q3. Sketch the region of integration for the integral [5(8,19,2) dr dz dy. (2, y, z)...
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...
can you please answer all of them need it for a review please $ In xy...
can you please answer all of them need it for a review
please
$ In xy dx dy In 12-1 12 12(In 12-2) 12(In 12 - 1) In 12-2 12 z = x 2 + y2; 0 ⑤ x ≤ 1, 0 ≤y≤ 1 엘 the region bounded by the paraboloid z = 49- x2 - y2 and the xy-plane 343 3 02401 3 TT 343 2 2401 2401 TT 2 x = Su, y=6v, z = 4w; SS S...
With fully detail like step by step and graph plz !!!!!!!!!!!!!!!!!thx so muxh Use one of the following three methods t...
With fully detail like step by step and graph plz
!!!!!!!!!!!!!!!!!thx so muxh
Use one of the following three methods to determine the limits of integration for the two triple integrals below that will yield the same value as the given integral. Show your work. Option 1: "Shadow" Method: Find the projection of E in each coordinate plane. Include a rough sketch of the three-dimensional region E on the xyz-coordinate system. Option 2: "Recreate the Solid" Method: Use the limits...
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 inte...
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...
calculus 3. Answer all of the following, I will rate your work if you do so....
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...
The solid is the portion of the paraboloid that is between the yz-plane and the plane...
The solid is the portion of the paraboloid that is between the yz-plane and the plane x = 4. Therefore, for given y and z values, the x-value has the limits 47² +42² 4y2 +4:2 sxs 4 4 Step 2 As a result, the innermost integral will be 4 [ r2 =8(1 – għ – 27²2² – 24) for tox= 8-8(72+2) 2 4y2 + 4z2 The plane x = 4 intersects the paraboloid in a circle. When this circle is...
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. 4. Write an iterated integral...
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...
Q3(a) Let W be the region above the sphere x2 + y2 + z2 = 6 and below the paraboloid z = 4 - x2 - y2 as shown in Figure Q5(a) below: Z=4-x-y? x2 + y + z = 6 Figure Q3(a) (i) Find the equation of the projection of Won the xy-plane. (ii) Compute the volume of W using polar coordinates. [16 marks] (b) Using double integral in polar coordinates, compute the following: $$*** (2x+3y) dedy [7 marks]...
please show all work in clean and legible handwriting with all
labels and steps that is properly explained for PROBLEMS #1, 2, 3,
AND 4. Any incorrect answers and not solving all 4 problems will
get an immediate thumbs down because they did not follow
directions, thank you
1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...
SOLUTION The solid E is shown in the top figure. If we regard it as a type 1 region, then we need to consider its projection D, onto the xy-plane, which is the parabolic region in the middle figure. (The trace of y = x2 + x in the plane 2 = 0 is the parabola y - 2 .) From y - x+ z we obtain Voor? so the lower boundary surface of Eis --Vy-and the upper boundary surface...
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...
can you please answer all of them need it for a review
please
$ In xy dx dy In 12-1 12 12(In 12-2) 12(In 12 - 1) In 12-2 12 z = x 2 + y2; 0 ⑤ x ≤ 1, 0 ≤y≤ 1 엘 the region bounded by the paraboloid z = 49- x2 - y2 and the xy-plane 343 3 02401 3 TT 343 2 2401 2401 TT 2 x = Su, y=6v, z = 4w; SS S...
With fully detail like step by step and graph plz
!!!!!!!!!!!!!!!!!thx so muxh
Use one of the following three methods to determine the limits of integration for the two triple integrals below that will yield the same value as the given integral. Show your work. Option 1: "Shadow" Method: Find the projection of E in each coordinate plane. Include a rough sketch of the three-dimensional region E on the xyz-coordinate system. Option 2: "Recreate the Solid" Method: Use the limits...
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...
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...
The solid is the portion of the paraboloid that is between the yz-plane and the plane x = 4. Therefore, for given y and z values, the x-value has the limits 47² +42² 4y2 +4:2 sxs 4 4 Step 2 As a result, the innermost integral will be 4 [ r2 =8(1 – għ – 27²2² – 24) for tox= 8-8(72+2) 2 4y2 + 4z2 The plane x = 4 intersects the paraboloid in a circle. When this circle is...
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...
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