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5. (6) Consider the solid bound in the first octant by the surface 9x2 +4y 36 and the plane 9x+ 4y + 6z 36. a. Sketch the solid. b. Set-up the integral to find the volume of the solid by using a...
SET UP a triple integral to find the volume of the solid in the first octant...
SET UP a triple integral to find the volume of the solid in the
first octant (all coordinates positive) that is below the pla
10. (8 pts.) SET UP a triple integral to find the volume of the solid in the first octant (all coordinates positive) that is below the plane x+3y + 2z =12.
Set up a triple integral for the volume of the solid. Do not evaluate the integral
Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the first octant bounded by the coordinate planes and the plane z = 5 - x - y
4 Set up and evaluate a double integral to find the volume of the solid bounded...
4 Set up and evaluate a double integral to find the volume of the solid bounded by the graph of the equations y # 4-x2.z # 4-r2, first octant
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/...
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
please check your answer Question Details Let W be the solid in the first octant bounded by the top half of the cyl...
please check your answer
Question Details Let W be the solid in the first octant bounded by the top half of the cylinder x2 +z2= 36 and the plane x + y = 6 y Use Cartesian (rectangular) coordinates to set up the integral to find the volume of W in the order dydxdz. dy dz dx For instructor's notes only. Do not write in the box below.
Question Details Let W be the solid in the first octant bounded...
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 f...
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. (12pts) Consider the solid that is above the xy-plane, bounded above by =/4-x-y and below by +y a. Sketch the so...
6. (12pts) Consider the solid that is above the xy-plane, bounded above by =/4-x-y and below by +y a. Sketch the solid formed by the given surfaces b. Set up in rectangular coordinates the triple integral that represents the yolume of the solid. Sketch the appropriate projection. Do NOT evaluate the integrals. (Hint: Let dV- d dy de) c. Set up in cylindrical coordinates the triple integral that represents the volume of the solid. Sketch the appropriate projection. Do NOT...
(a) Let R be the solid in the first octant which is bounded above by the sphere 22 + y2+2 2 and bounded below by the cone z- r2+ y2. Sketch a diagram of intersection of the solid with the rz plane...
(a) Let R be the solid in the first octant which is bounded above by the sphere 22 + y2+2 2 and bounded below by the cone z- r2+ y2. Sketch a diagram of intersection of the solid with the rz plane (that is, the plane y 0). / 10. (b) Set up three triple integrals for the volume of the solid in part (a): one each using rectangular, cylindrical and spherical coordinates. (c) Use one of the three integrals...
Consider the following. ebr (a) Set up an integral for the volume a solid torus (the...
Consider the following. ebr (a) Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with radi br and aR. (Let a-8 and b-5) dy (b) By interpreting the integral as an area, find the volume V of the torus.
Set up only. Do not evaluate! Find the mass of the solid in the first octant...
Set up only. Do not evaluate! Find the mass of the solid in the first octant bounded by the coordinate planes and 8x + 3y + 62 = 24. The density of the of the solid is 8 (c, y, z) = 8x - 5 am
SET UP a triple integral to find the volume of the solid in the
first octant (all coordinates positive) that is below the pla
10. (8 pts.) SET UP a triple integral to find the volume of the solid in the first octant (all coordinates positive) that is below the plane x+3y + 2z =12.
4 Set up and evaluate a double integral to find the volume of the solid bounded by the graph of the equations y # 4-x2.z # 4-r2, first octant
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
please check your answer
Question Details Let W be the solid in the first octant bounded by the top half of the cylinder x2 +z2= 36 and the plane x + y = 6 y Use Cartesian (rectangular) coordinates to set up the integral to find the volume of W in the order dydxdz. dy dz dx For instructor's notes only. Do not write in the box below.
Question Details Let W be the solid in the first octant bounded...
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. (12pts) Consider the solid that is above the xy-plane, bounded above by =/4-x-y and below by +y a. Sketch the solid formed by the given surfaces b. Set up in rectangular coordinates the triple integral that represents the yolume of the solid. Sketch the appropriate projection. Do NOT evaluate the integrals. (Hint: Let dV- d dy de) c. Set up in cylindrical coordinates the triple integral that represents the volume of the solid. Sketch the appropriate projection. Do NOT...
(a) Let R be the solid in the first octant which is bounded above by the sphere 22 + y2+2 2 and bounded below by the cone z- r2+ y2. Sketch a diagram of intersection of the solid with the rz plane (that is, the plane y 0). / 10. (b) Set up three triple integrals for the volume of the solid in part (a): one each using rectangular, cylindrical and spherical coordinates. (c) Use one of the three integrals...
Consider the following. ebr (a) Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with radi br and aR. (Let a-8 and b-5) dy (b) By interpreting the integral as an area, find the volume V of the torus.
Set up only. Do not evaluate! Find the mass of the solid in the first octant bounded by the coordinate planes and 8x + 3y + 62 = 24. The density of the of the solid is 8 (c, y, z) = 8x - 5 am
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