show all work and explanations for problem 4. please. thanks
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#3, 4: (a) determine whether lies...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d =...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
please show work neatly, will rate! thanks Given two planes in space: 2x – y +...
please show work neatly, will rate! thanks
Given two planes in space: 2x – y + z = -4 and 5x + 3y - z = 4. Find the angle between these two planes and the symmetric equations of the line of intersection of these two planes.
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
1 Use Stokes' theorem to evaluate the integrals: F(x, y, z) dr a) where F(r, y,z)(3yz,e, 22) and C is the boundary of the triangle i the plane y2 with vertices b) where F(x, y,z (-2,2,5xz) an...
1 Use Stokes' theorem to evaluate the integrals: F(x, y, z) dr a) where F(r, y,z)(3yz,e, 22) and C is the boundary of the triangle i the plane y2 with vertices b) where F(x, y,z (-2,2,5xz) and C is in the plane 12- y and is the boundary of the region that lies above the square with vertices (3,5, 0), (3,7,0),(4,5,0), (4,7,0) c) where F(x, y,z(7ry, -z, 3ryz) and C is in the plane y d) where intersected with z...
Please provide clear handwritings for answers and specific step by step explanations of questions 3 and 4. Thank you. 3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find...
Please provide clear handwritings for answers and specific step
by step explanations of questions 3 and 4. Thank you.
3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat. 4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane...
Check that the point (1,-1,2) lies on the given surface. Then, viewing the surface as a level surface for a function f(...
Check that the point (1,-1,2) lies on the given surface. Then, viewing the surface as a level surface for a function f(x,y,z), find a vector normal to the surface and an equation for the tangent plane to the surface at (1,-1,2). 2x^2-3y^2+z^2=3. Vector normal? and tangent plane?
please show all steps 1.) 2.) 3. (a) In each of (1) and (2), determine whether...
please show all steps
1.)
2.)
3.
(a) In each of (1) and (2), determine whether the given equation is linear, separable, Bernoulli, homogeneous, or none of these. (1) y = yenye (2) x²y = 3x cos(2x) + 3xy (b) Find the general solution of (1). Given the one-parameter family y3 = 3 +Cx? (a) Find the differential equation for the family. (b) Find the differential equation for the family of orthogonal trajectories. (e) Find the family of orthogonal trajectories....
please show steps for all: 2. Given the planes + y - 43 and x-2- a.....
please show steps for all:
2. Given the planes + y - 43 and x-2- a.. Find the angle of intersection of the planes. b. Find the parametric equation of the line of intersection (L) of the 2 planes. c. Determine the equation of the plane orthogonal to L and containing the point(0,4,0) d. Determine the distance from the point (0,4,0) to L.
Determine whether the line x = 7 – 4t, y = 3 + 6t, z = 9 + 5t and the plane 4x + y + 2z = 17 intersect or are parallel....
Determine whether the line x = 7 – 4t, y = 3 + 6t, z = 9 + 5t and the plane 4x + y + 2z = 17 intersect or are parallel. If they intersect, then find the point of intersection
Let S be the part of the plane 2x+4y+z=4 2 x + 4 y + z = 4 which lies in the first octant, oriented upward. Use the Sto...
Let S be the part of the plane 2x+4y+z=4 2 x + 4 y + z = 4 which lies in the first octant, oriented upward. Use the Stokes theorem to find the flux of the vector field F=4i+4j+3k F = 4 i + 4 j + 3 k across the surface S
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
please show work neatly, will rate! thanks
Given two planes in space: 2x – y + z = -4 and 5x + 3y - z = 4. Find the angle between these two planes and the symmetric equations of the line of intersection of these two planes.
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
1 Use Stokes' theorem to evaluate the integrals: F(x, y, z) dr a) where F(r, y,z)(3yz,e, 22) and C is the boundary of the triangle i the plane y2 with vertices b) where F(x, y,z (-2,2,5xz) and C is in the plane 12- y and is the boundary of the region that lies above the square with vertices (3,5, 0), (3,7,0),(4,5,0), (4,7,0) c) where F(x, y,z(7ry, -z, 3ryz) and C is in the plane y d) where intersected with z...
Please provide clear handwritings for answers and specific step
by step explanations of questions 3 and 4. Thank you.
3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat. 4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane...
please show all steps
1.)
2.)
3.
(a) In each of (1) and (2), determine whether the given equation is linear, separable, Bernoulli, homogeneous, or none of these. (1) y = yenye (2) x²y = 3x cos(2x) + 3xy (b) Find the general solution of (1). Given the one-parameter family y3 = 3 +Cx? (a) Find the differential equation for the family. (b) Find the differential equation for the family of orthogonal trajectories. (e) Find the family of orthogonal trajectories....
please show steps for all:
2. Given the planes + y - 43 and x-2- a.. Find the angle of intersection of the planes. b. Find the parametric equation of the line of intersection (L) of the 2 planes. c. Determine the equation of the plane orthogonal to L and containing the point(0,4,0) d. Determine the distance from the point (0,4,0) to L.
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