Come up with one equation in spherical coordinates for which the solution set is the xy-plane. Do the same problem in bo...
Come up with one equation in spherical coordinates for
which the solution set is the xy-plane. Do the same problem in both
cylindrical and rectangular
coordinates.
please show full work
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Come up with one equation in spherical coordinates for which the solution set is the xy-plane. Do the same problem in bo...
please provide full work. thank you Come up with one equation in spherical coordinates for which the solution set is in...
please provide full work. thank you Come up with one equation in spherical coordinates for which the solution set is in the xy plane. Do the same problem in both cylindrical and rectangular coordinates.
Use rectangular, cylindrical and spherical coordinates to set up the triple integrals representing the volume of the region bounded below by the xy plane, bounded above by the sphere with radius and...
Use rectangular, cylindrical and spherical coordinates to set up the triple integrals representing the volume of the region bounded below by the xy plane, bounded above by the sphere with radius and centered at the origin the equation of the sphere is x2 + y2 + z2-R2), and outside the cylinder with the equation (x - 1)2 +y2-1 (5 pts each) Find the volume by solving one of the triple integrals from above.( 5 pts) Total of 20 pts)
Use...
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...
1. Use cylindrical coordinates to SET UP the integral for the volume of the portion of...
1. Use cylindrical coordinates to SET UP the integral for the volume of the portion of the unit ball, 22 +232 + x2 < 1, above the plane z = 12 2. (a) Write in spherical coordinates the equations of the following surfaces: (i) x2 + y2 + x2 = 4 (ii) z = 3x2 + 3y2 (b) SET UP the integral in spherical coordinates for the volume of the solid inside the surface 22 + y2 + x2 =...
Set up, but do not evaluate, a triple integral in cylindrical coordinates that gives the volume...
Set up, but do not evaluate, a triple integral in cylindrical coordinates that gives the volume of the solid under the surface z = x2 + y2, above the xy- plane, and within the cylinder x2 + y2 = 2y.
2 integral giving the surface area of the portion of (3) Set up, but do not...
2 integral giving the surface area of the portion of (3) Set up, but do not evaluate, an 2m2+e above the triangle with vertices (0,0), (0,5) and (3,5). (4) Change the following points from rectangular coordinates into the specified coordi- nate systemn: (a) (-3,-3,9), Cylindrical Coordinates. (b) (V3,1,0), Spherical Coordinates.
2 integral giving the surface area of the portion of (3) Set up, but do not evaluate, an 2m2+e above the triangle with vertices (0,0), (0,5) and (3,5). (4) Change...
1. Convert the point ( 215 7.) from cylindrical to spherical coordinates. 2. Set up a...
1. Convert the point ( 215 7.) from cylindrical to spherical coordinates. 2. Set up a triple integral, but do NOT evaluate, to find the volume of the solid in the first octant bounded by the coordinate planes and the plane 3x + 6y + 4z = 12. 1 3. Locate all relative maxima, relative minima, and saddle points of f(x,y) = x2 + 2y2 – x?y.
Please help solve the calculus problem below, thanks a lot. 2. Using polar coordinates, set up...
Please help solve the calculus problem below, thanks a
lot.
2. Using polar coordinates, set up the iterated integral to compute the volume of the solid bounded above by : - and bounded below by the semi-circular 3x + 2 y disk in the xy-plane (with center (3,0) and radius 3) given in the picture. (Be sure to show your work on how you find the limits of integration.) -3+
6. Set up a triple integral using cylindrical or spherical coordinates to find the volume of...
6. Set up a triple integral using cylindrical or spherical coordinates to find the volume of the solid that lies between the surfaces 2 - 27- 2x - 2y' and 2=x-v Evaluate one of your triple integrals to find the exact volume of this solid.
(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...
Use rectangular, cylindrical and spherical coordinates to set up the triple integrals representing the volume of the region bounded below by the xy plane, bounded above by the sphere with radius and centered at the origin the equation of the sphere is x2 + y2 + z2-R2), and outside the cylinder with the equation (x - 1)2 +y2-1 (5 pts each) Find the volume by solving one of the triple integrals from above.( 5 pts) Total of 20 pts)
Use...
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...
1. Use cylindrical coordinates to SET UP the integral for the volume of the portion of the unit ball, 22 +232 + x2 < 1, above the plane z = 12 2. (a) Write in spherical coordinates the equations of the following surfaces: (i) x2 + y2 + x2 = 4 (ii) z = 3x2 + 3y2 (b) SET UP the integral in spherical coordinates for the volume of the solid inside the surface 22 + y2 + x2 =...
Set up, but do not evaluate, a triple integral in cylindrical coordinates that gives the volume of the solid under the surface z = x2 + y2, above the xy- plane, and within the cylinder x2 + y2 = 2y.
2 integral giving the surface area of the portion of (3) Set up, but do not evaluate, an 2m2+e above the triangle with vertices (0,0), (0,5) and (3,5). (4) Change the following points from rectangular coordinates into the specified coordi- nate systemn: (a) (-3,-3,9), Cylindrical Coordinates. (b) (V3,1,0), Spherical Coordinates.
2 integral giving the surface area of the portion of (3) Set up, but do not evaluate, an 2m2+e above the triangle with vertices (0,0), (0,5) and (3,5). (4) Change...
1. Convert the point ( 215 7.) from cylindrical to spherical coordinates. 2. Set up a triple integral, but do NOT evaluate, to find the volume of the solid in the first octant bounded by the coordinate planes and the plane 3x + 6y + 4z = 12. 1 3. Locate all relative maxima, relative minima, and saddle points of f(x,y) = x2 + 2y2 – x?y.
Please help solve the calculus problem below, thanks a
lot.
2. Using polar coordinates, set up the iterated integral to compute the volume of the solid bounded above by : - and bounded below by the semi-circular 3x + 2 y disk in the xy-plane (with center (3,0) and radius 3) given in the picture. (Be sure to show your work on how you find the limits of integration.) -3+
6. Set up a triple integral using cylindrical or spherical coordinates to find the volume of the solid that lies between the surfaces 2 - 27- 2x - 2y' and 2=x-v Evaluate one of your triple integrals to find the exact volume of this solid.
(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...
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