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The region is a right circular cylinder of radius 2, with the bottom at -5 and...
The region is a right circular cone, 2 = Var? + y2 with height 29. Find...
The region is a right circular cone, 2 = Var? + y2 with height 29. Find the limits of integration on the triple integral for the volume of the cone using Cartesian, cylindrical, and spherical coordinates and the function to be integrated. For your answers 0 theta, o=phi, and p = rho. Cartesian V = p(x, y, z) dz dy da where A C = B = ,F= E ,D= and p(x, y, z) = Cylindrical V = so" C"S"...
The region is a cone, z == ? + ytopped by a sphere of radius 4....
The region is a cone, z == ? + ytopped by a sphere of radius 4. Find the limits of integration on the triple integral for the volume of the snowcone using Cartesian, cylindrical, and spherical coordinates and the function to be integrated. For your answers 0 = theta, o =phi, and p = rho. Cartesian V= "SC"}, "plz,y,z2) dz dydz where A B = .D= and p(x, y, z) = E= F= Cylindrical v=L" S "*P10,0,2)dz dr do where...
1. If a function f(x,y) has a local maximum then it is not necessary that it...
1. If a function f(x,y) has a local maximum then it is not necessary that it has also a local minimum True False 2. If a vector field F is conservative then we can not find a potential functions. True False 3. Suppose that P and Q have continuous first-order partial derivatives on a domain D and consider the vector field F = Pi+Qj. Then F is conservative if op 80 True False 4. If D is a rectangle, then...
(1 point) The region W is the cone shown below. C The angle at the vertex is /2, and the top is flat and at a height of...
(1 point) The region W is the cone shown below. C The angle at the vertex is /2, and the top is flat and at a height of 5 Write the limits of integration for f dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry) (a) Cartesian: With a b d and f eb d Volume (b) Cylindrical: With a= b d and f eb ed f d Volume = (c) Spherical:...
PLEASE READ THE NOTE AND FOLLOW FOR THE RIGHT ANSWER !! "Polar form needs to be...
PLEASE READ THE NOTE AND FOLLOW FOR THE RIGHT ANSWER !!
"Polar form needs to be in V=[dr/dt](er)+(r)[d theta/dt](e
theta) as shown in the red pen writing. You did not do this for the
question that is why you got is wrong.
Then for cartesian er=cos(theta)i+sin(theta)j and
e(theta)=-sin(theta)i+cos(theta)j. Substitute these two question
for er and e(theta) and multiply them by dr/dt and (r) d theta/dt.
Add all the i and all the j and you will get your final answer...
Only need help with (d) = 0 ( [this point is away from 0] A conducting...
Only need help with (d)
= 0 ( [this point is away from 0] A conducting sphere of radius a is hollow and grounded (V = 0). A particle of charge q is a placed inside at a distance b from the center. We wish to find the potential anywhere inside the sphere. This problem can be solved with the image charge method. The image charge d' should be placed a distance b = from the center, so that the...
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...
Problem1 A right circular cylinder (i.e., a "normal" cylinder) has radius 3 m and height 4...
Problem1 A right circular cylinder (i.e., a "normal" cylinder) has radius 3 m and height 4 m. Using integrals, find numerical values for its a. volume, b. mass if its density is p(?)n appropriate units, and c. moment of inertia about the cylinder's axis. 20 Problem 2 The integral IsJo-* dx is notorious for not having an analytical solution. However, there's a clever trick to calculate definite integrals: instead of calculating I itself, it's easier to calculate I2. To do...
(1 point) Compute the outward flux of the vector field F(:,, :) - 2ri + 4y...
(1 point) Compute the outward flux of the vector field F(:,, :) - 2ri + 4y + 4k across the boundary of the right cylinder with radius 5 with bottom edge at height z = 5 and upper edge at 2= 6. Note: The vectors in this field point outwards from the origin, so we would expect the flux across each face of the cylinder to be positive Part 1 - Using a Surface Integral First we parameterize the three...
12. (35 pts) A cylindrical region of radius a has a conductivity given by a =...
12. (35 pts) A cylindrical region of radius a has a conductivity given by a = 1.5e-150 PKS/m. An electric field of 30 a, V/m is present. a. (5 pts) Use Eq. 5.11 to find J. [] = 45e-150 a, kA/m2.] b. (10 pts) Find the total current crossing the surface p <0,2-0, all 6. [Hint: ds = p dp do a.] [1 = 4 (1 - (1 + 150 pe"150] A.) c. (10 pts) Use the integral form of...
The region is a right circular cone, 2 = Var? + y2 with height 29. Find the limits of integration on the triple integral for the volume of the cone using Cartesian, cylindrical, and spherical coordinates and the function to be integrated. For your answers 0 theta, o=phi, and p = rho. Cartesian V = p(x, y, z) dz dy da where A C = B = ,F= E ,D= and p(x, y, z) = Cylindrical V = so" C"S"...
The region is a cone, z == ? + ytopped by a sphere of radius 4. Find the limits of integration on the triple integral for the volume of the snowcone using Cartesian, cylindrical, and spherical coordinates and the function to be integrated. For your answers 0 = theta, o =phi, and p = rho. Cartesian V= "SC"}, "plz,y,z2) dz dydz where A B = .D= and p(x, y, z) = E= F= Cylindrical v=L" S "*P10,0,2)dz dr do where...
1. If a function f(x,y) has a local maximum then it is not necessary that it has also a local minimum True False 2. If a vector field F is conservative then we can not find a potential functions. True False 3. Suppose that P and Q have continuous first-order partial derivatives on a domain D and consider the vector field F = Pi+Qj. Then F is conservative if op 80 True False 4. If D is a rectangle, then...
(1 point) The region W is the cone shown below. C The angle at the vertex is /2, and the top is flat and at a height of 5 Write the limits of integration for f dV in the following coordinates (do not reduce the domain of integration by taking advantage of symmetry) (a) Cartesian: With a b d and f eb d Volume (b) Cylindrical: With a= b d and f eb ed f d Volume = (c) Spherical:...
PLEASE READ THE NOTE AND FOLLOW FOR THE RIGHT ANSWER !!
"Polar form needs to be in V=[dr/dt](er)+(r)[d theta/dt](e
theta) as shown in the red pen writing. You did not do this for the
question that is why you got is wrong.
Then for cartesian er=cos(theta)i+sin(theta)j and
e(theta)=-sin(theta)i+cos(theta)j. Substitute these two question
for er and e(theta) and multiply them by dr/dt and (r) d theta/dt.
Add all the i and all the j and you will get your final answer...
Only need help with (d)
= 0 ( [this point is away from 0] A conducting sphere of radius a is hollow and grounded (V = 0). A particle of charge q is a placed inside at a distance b from the center. We wish to find the potential anywhere inside the sphere. This problem can be solved with the image charge method. The image charge d' should be placed a distance b = from the center, so that the...
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...
Problem1 A right circular cylinder (i.e., a "normal" cylinder) has radius 3 m and height 4 m. Using integrals, find numerical values for its a. volume, b. mass if its density is p(?)n appropriate units, and c. moment of inertia about the cylinder's axis. 20 Problem 2 The integral IsJo-* dx is notorious for not having an analytical solution. However, there's a clever trick to calculate definite integrals: instead of calculating I itself, it's easier to calculate I2. To do...
(1 point) Compute the outward flux of the vector field F(:,, :) - 2ri + 4y + 4k across the boundary of the right cylinder with radius 5 with bottom edge at height z = 5 and upper edge at 2= 6. Note: The vectors in this field point outwards from the origin, so we would expect the flux across each face of the cylinder to be positive Part 1 - Using a Surface Integral First we parameterize the three...
12. (35 pts) A cylindrical region of radius a has a conductivity given by a = 1.5e-150 PKS/m. An electric field of 30 a, V/m is present. a. (5 pts) Use Eq. 5.11 to find J. [] = 45e-150 a, kA/m2.] b. (10 pts) Find the total current crossing the surface p <0,2-0, all 6. [Hint: ds = p dp do a.] [1 = 4 (1 - (1 + 150 pe"150] A.) c. (10 pts) Use the integral form of...
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