a) Find an equation of the sphere with center (3, −6, 4) and radius 5. b)...
a) Find an equation of the sphere with center (3, −6, 4) and radius 5.
b) Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.)
| intersection with xy-plane | |
| intersection with xz-plane | |
| intersection with yz-plane |
Homework Answers
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a) Find an equation of the sphere with center (3, −6, 4) and
radius 5.
b)...
3.847.69 points | Previous Answers SCac8 12.1.014 Find an equation of the sphere with center (2,...
3.847.69 points | Previous Answers SCac8 12.1.014 Find an equation of the sphere with center (2, -9, 3) and radius 5. 6+02+6-32-5 Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.) intersection with xy-pianer 2)2(y+9)2-16 intersection with x-plan(2( 3)2--56x intersection with yz-plane | (z 3). (y + 9 )2-21 Need Help?Read it Talk to a Tutor Submit Answer Save Progress intersection with xz-plane | (x-2...
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2...
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xy-plane ? The sphere intersects the xz-plane ? The sphere intersects the yz-plane ? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and is parallel to the vector (-1, 3, -4) x+ 4-Y+ 2 3 z-6 -4 -(x +4) 3(y 2)-4(z +6). y+2 z-6 3 -(x-4) 3(y +2) -4(z- 6). o4-2-116 = Y - 2-z+6 3 (b) Find the points in which the required line in part (a) intersects the coordinate planes. 5 ,5,0 x ) point of intersection with xy-plane 10 7 point of intersection with...
#48 #46 and #48 In Exercises 39-48, find a parametrization of the curve. 39. The vertical...
#48
#46
and #48
In Exercises 39-48, find a parametrization of the curve. 39. The vertical line passing through the point (3,2,0) 40. The line passing through (1,0,4) and (4.1.2) 41. The line through the origin whose projection on the xy-plane is a line of slope 3 and whose projection on the yz-plane is a line of slope 5 (ie, Az/Ay = 5) 42. The circle of radius 1 with center (2, -1, 4) in a plane parallel to the...
(a) Find symmetric equations for the line that passes through the point (2, -2, 8) and...
(a) Find symmetric equations for the line that passes through the point (2, -2, 8) and is parallel to the vector (-1, 3,-4). -(x + 2) = 3(y-2) = -4(2 + 8). Ox+2-472.28 2-8 -4 -(x - 2) = 3(y + 2) = -4(2-8). *+2.1;2-28 (b) Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz plane
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2. 1...
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2.
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2.
Use cylindrical coordinates to work out the volume of a ball of radius 1, and to find the center of mass of the upper half of of the ball. (If you take the hemisphere to have its origin at (0,0,0...
Use cylindrical coordinates to work out the volume of a ball of radius 1, and to find the center of mass of the upper half of of the ball. (If you take the hemisphere to have its origin at (0,0,0) and it's base in the XY-plane the z-coordinate of the center of mass is the "average value of z" over the hemisphere, or the total moment divided by the volume.) Parametrize the upper hemisphere using cylindrical coordinates and find it's...
11.1.37 Describe the given set with a single equation or with a pair of equations. The...
11.1.37 Describe the given set with a single equation or with a pair of equations. The plane through the point (9.4.-6) parallel to a. the xy-plane b. the yz-plane c. the xz-plane a. Choose the correct equation of a plane parallel to the xy-plane. O A. y = 4 OB. z= -6 O c. x=9
Exercise 3. Find and identify the trace of the given quadric surface in the specified plane...
Exercise 3. Find and identify the trace of the given quadric surface in the specified plane of coordinates. f) x2 + 2y – 2z2 – 2 = 0, xz-plane. g) x = y2 + 4, xy-plane. a) A + B + * = 1, xy-plane. b) x2 + 4y2 – 4z2 – 16 = 0, xz-plane. c) -4x2 - y2 + z2 = 1, yz-plane. d) x2 + – z2 = 0, yz-plane. e) x2 + x2 – 4y+4= 0,...
4. (10 points) (a) Find a parametric equation and symmetric equation of the line that pases...
4. (10 points) (a) Find a parametric equation and symmetric equation of the line that pases through the point (2, -1, 3) and is parallel to the vector 7 +27 -37. (b) At what points does this line intersect the yz-plane?
3.847.69 points | Previous Answers SCac8 12.1.014 Find an equation of the sphere with center (2, -9, 3) and radius 5. 6+02+6-32-5 Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.) intersection with xy-pianer 2)2(y+9)2-16 intersection with x-plan(2( 3)2--56x intersection with yz-plane | (z 3). (y + 9 )2-21 Need Help?Read it Talk to a Tutor Submit Answer Save Progress intersection with xz-plane | (x-2...
(1 pt) Consider the sphere (x - 4)2 + (y - 3)2 + (z - 5)2 25 (a) Does the sphere intersect each of the following planes at zero points, at one point, at two points, in a line, or in a circle? The sphere intersects the xy-plane ? The sphere intersects the xz-plane ? The sphere intersects the yz-plane ? (b) Does the sphere intersect each of the following coordinate axes at zero points, at one point, at two...
(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and is parallel to the vector (-1, 3, -4) x+ 4-Y+ 2 3 z-6 -4 -(x +4) 3(y 2)-4(z +6). y+2 z-6 3 -(x-4) 3(y +2) -4(z- 6). o4-2-116 = Y - 2-z+6 3 (b) Find the points in which the required line in part (a) intersects the coordinate planes. 5 ,5,0 x ) point of intersection with xy-plane 10 7 point of intersection with...
#48
#46
and #48
In Exercises 39-48, find a parametrization of the curve. 39. The vertical line passing through the point (3,2,0) 40. The line passing through (1,0,4) and (4.1.2) 41. The line through the origin whose projection on the xy-plane is a line of slope 3 and whose projection on the yz-plane is a line of slope 5 (ie, Az/Ay = 5) 42. The circle of radius 1 with center (2, -1, 4) in a plane parallel to the...
(a) Find symmetric equations for the line that passes through the point (2, -2, 8) and is parallel to the vector (-1, 3,-4). -(x + 2) = 3(y-2) = -4(2 + 8). Ox+2-472.28 2-8 -4 -(x - 2) = 3(y + 2) = -4(2-8). *+2.1;2-28 (b) Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz plane
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2.
1 For a vector field A zx +xz y yz Verify Divergence theorem over a sphere, with a radius R and center at the origin 1. 3 points 3 points Converthe vector into eylindrical coordinatces 2.
Use cylindrical coordinates to work out the volume of a ball of radius 1, and to find the center of mass of the upper half of of the ball. (If you take the hemisphere to have its origin at (0,0,0) and it's base in the XY-plane the z-coordinate of the center of mass is the "average value of z" over the hemisphere, or the total moment divided by the volume.) Parametrize the upper hemisphere using cylindrical coordinates and find it's...
11.1.37 Describe the given set with a single equation or with a pair of equations. The plane through the point (9.4.-6) parallel to a. the xy-plane b. the yz-plane c. the xz-plane a. Choose the correct equation of a plane parallel to the xy-plane. O A. y = 4 OB. z= -6 O c. x=9
Exercise 3. Find and identify the trace of the given quadric surface in the specified plane of coordinates. f) x2 + 2y – 2z2 – 2 = 0, xz-plane. g) x = y2 + 4, xy-plane. a) A + B + * = 1, xy-plane. b) x2 + 4y2 – 4z2 – 16 = 0, xz-plane. c) -4x2 - y2 + z2 = 1, yz-plane. d) x2 + – z2 = 0, yz-plane. e) x2 + x2 – 4y+4= 0,...
4. (10 points) (a) Find a parametric equation and symmetric equation of the line that pases through the point (2, -1, 3) and is parallel to the vector 7 +27 -37. (b) At what points does this line intersect the yz-plane?
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