Homework Answers
Add Answer to:
4. Let E be the region in the first octant of R3 contained in the sphere. (a) Formulate the triple integral JJ JBzdV JJJE zdrdydz in spheri iterated integrals ca coordinates as three hi Formulate the...
5. Express the triple integral | f(x,y,z)dV as an iterated integral in cartesian coordinates. E is...
5. Express the triple integral | f(x,y,z)dV as an iterated integral in cartesian coordinates. E is the region inside the sphere x2 + y2 + z2 = 2 and above the elliptic paraboloid z = x2 + y2
6. Let E be the region of R3 inside the intersection of the sphere centered on...
6. Let E be the region of R3 inside the intersection of the sphere centered on the origin of radius 2 and of the sphere of radius 2 centered on the point (0,0,2). (a) Write a triple iterated integral representing the volume of the region E. Do not evaluate it! 5 marks (b) Show that the volume of the region E is smaller than 6tT, without evaluating any integral [4 marks
6. Let E be the region of R3 inside...
(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...
1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, a...
Please show all steps. Thank you, need to verify what I'm doing
wrong.
1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, and in the first octant (z, y, z 0)、z, y and z are measured in meters and the density over B is given by the function p(z, y, z)-(12 + y2 + ?)-1 kg/m3 (a) Set up and write the triple integral that gives the mass...
4. Using spherical coordinates, evaluate the triple integral: ry: dl, where E lies between the sp...
4. Using spherical coordinates, evaluate the triple integral: ry: dl, where E lies between the spheres r2+94:2-4 and r2+92+ะ2-16 and above the cone V+v) or Recommend separating! 5. Using spherical coordinates, find the volume of the solid that lies within the sphere r2+y2+2 9, above the ry-plane, and below the cone ะ-V/r2 + y2 Reconnnend separating! 6. Using spherical coordinates, evaluate the triple integral: 2 + dV where E is the portion of the solid ball 2+2+2 s 4 that...
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,...
1. Let E be the solid region bounded above by the sphere 4 = x2 +...
1. Let E be the solid region bounded above by the sphere 4 = x2 + y2 + z2 and below by the plane y-z =-2. a. Generate a 3D picture of the region E using 3D graphing software. b. Write the integral J [ f(x,y,z)dVas an iterated integral (in rectangular coordinates) in two different ways - one with integration with respect to z first, and one with integration with respect to y first.
7/10 324-x and the cone 5) (27 points) Let D be the solid region bounded by the paraboloid a) (8 points) Sketch D and set up triple integrals in rectangular coordinates representing th...
7/10 324-x and the cone 5) (27 points) Let D be the solid region bounded by the paraboloid a) (8 points) Sketch D and set up triple integrals in rectangular coordinates representing the dzdyda volume of D according to the order of integration dedyd Open with (9 points) Set up triple integrals in rectangular coordinates representing the volume of D b) according to the order of integration drdedy 8/10 (4 points) Set up triple integrals in cylindrical coordinates representing the...
Using a triple integral, calculate the volume of the region in the first octant (x >...
Using a triple integral, calculate the volume of the region in the first octant (x > 0, y 20, z > 0), bounded by the two cylinders z2 + y2 = 4 and c? + y2 = 4.
solutions are labeled a to c at the bottom. can you explain what the r stands for. I'm assuming x2 + y2 Write iterated integrals for each of the given caleu- Question 7 (5 pts each] lations. D...
solutions are labeled a to c at the bottom. can you
explain what the r stands for. I'm assuming x2 + y2
Write iterated integrals for each of the given caleu- Question 7 (5 pts each] lations. Do not evaluate. (A) The integral of f(x,y) 32 + 12y over the domain D: +20 (B) The integral of f(x, y,) first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the...
5. Express the triple integral | f(x,y,z)dV as an iterated integral in cartesian coordinates. E is the region inside the sphere x2 + y2 + z2 = 2 and above the elliptic paraboloid z = x2 + y2
6. Let E be the region of R3 inside the intersection of the sphere centered on the origin of radius 2 and of the sphere of radius 2 centered on the point (0,0,2). (a) Write a triple iterated integral representing the volume of the region E. Do not evaluate it! 5 marks (b) Show that the volume of the region E is smaller than 6tT, without evaluating any integral [4 marks
6. Let E be the region of R3 inside...
(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...
Please show all steps. Thank you, need to verify what I'm doing
wrong.
1. (20 points) Suppose B is the solid region inside the sphere 2+ y2 +2 4, above the plane = 1, and in the first octant (z, y, z 0)、z, y and z are measured in meters and the density over B is given by the function p(z, y, z)-(12 + y2 + ?)-1 kg/m3 (a) Set up and write the triple integral that gives the mass...
4. Using spherical coordinates, evaluate the triple integral: ry: dl, where E lies between the spheres r2+94:2-4 and r2+92+ะ2-16 and above the cone V+v) or Recommend separating! 5. Using spherical coordinates, find the volume of the solid that lies within the sphere r2+y2+2 9, above the ry-plane, and below the cone ะ-V/r2 + y2 Reconnnend separating! 6. Using spherical coordinates, evaluate the triple integral: 2 + dV where E is the portion of the solid ball 2+2+2 s 4 that...
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,...
1. Let E be the solid region bounded above by the sphere 4 = x2 + y2 + z2 and below by the plane y-z =-2. a. Generate a 3D picture of the region E using 3D graphing software. b. Write the integral J [ f(x,y,z)dVas an iterated integral (in rectangular coordinates) in two different ways - one with integration with respect to z first, and one with integration with respect to y first.
7/10 324-x and the cone 5) (27 points) Let D be the solid region bounded by the paraboloid a) (8 points) Sketch D and set up triple integrals in rectangular coordinates representing the dzdyda volume of D according to the order of integration dedyd Open with (9 points) Set up triple integrals in rectangular coordinates representing the volume of D b) according to the order of integration drdedy 8/10 (4 points) Set up triple integrals in cylindrical coordinates representing the...
Using a triple integral, calculate the volume of the region in the first octant (x > 0, y 20, z > 0), bounded by the two cylinders z2 + y2 = 4 and c? + y2 = 4.
solutions are labeled a to c at the bottom. can you
explain what the r stands for. I'm assuming x2 + y2
Write iterated integrals for each of the given caleu- Question 7 (5 pts each] lations. Do not evaluate. (A) The integral of f(x,y) 32 + 12y over the domain D: +20 (B) The integral of f(x, y,) first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the...
Most questions answered within 3 hours.
-
The average length of time between arrivals at a turnpike
toll-booth is 26 seconds. What is...
asked 22 minutes ago -
(a) A piston at 6.1 atm contains a gas that occupies a volume of
3.5 L....
asked 1 hour ago -
Please answer true or false. Words
cannot be changed or added in to make it true...
asked 1 hour ago -
An empty test tube weighs 15.923 grams. Then,
MgCl2•6H2O is added into the test tube. After...
asked 1 hour ago -
Assume memory access is 10 units of time and disk access is
10000 units of time....
asked 1 hour ago -
1. Are all good samples random?
2. Magazines often report surveys giving statistics such as “63%...
asked 2 hours ago -
Under all the various types of market structures, firms
must eventually earn some economic profits for...
asked 2 hours ago -
Consider the following fitness regime for a single locus trait
with two co-dominant alleles: w11 =...
asked 2 hours ago -
A large cable company reports the following.
80% of its customers subscribe to its cable TV...
asked 2 hours ago -
Please answer the question in brief.
Discuss the role of ERP in organizations. Are ERP tools...
asked 2 hours ago -
Discuss the pros and cons of collaborative software such
as SameTime. Does it increase productivity? What...
asked 2 hours ago -
Buying your in-laws a gift because it’s expected is
due to the ____________ motive of gift-giving....
asked 2 hours ago