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only #5 needed 4. Find the distance between the planes 2x – 3y +z+7 = 0...
Find the distance between the two parallel planes. Planei: 2x + 3y + 92 = 9 Planez: 4x + 6y + 182 = 306 Distance: Submit Question
Find the distance between the parallel planes -2x - 2y+z=1 and -2.-2y+z=4 Decimal answers will not be accepted.
Find the equations of the planes that bisect the angles between the two planes P1: x+y+z=1 P2: 2x-3y+z+1=0 7) Find the equations of the planes that bi sect the angles between the two planes Ix+y+z=1 92: 2 x - 3y + Z +-0
Problem 14. (8 points) Find the distance between the parallel planes -2x – 2y+z=1 and -2x - 2y+z=19 Decimal answers will not be accepted.
(4, -1,2) 2x + 3y - z = 3 x + y - z = 5 10x – 2y = 3 SHOP Supa lo color (4, 1) ) boda e 3x - 5y = 7 2x + 2y = 10
Find the line of intersection of the planes x + 3y + z = 5 and x - 5y + 3z = 11. O x = -7t + 5, y = t and z = 4t + 3 x= 7t+2, y=t and z = 4t + 3 x=-7t + 2, y = t and z = 4t+ 3 x=-7t+2, y = t and z = 4t - 3
(3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z = 3, 2x + y + 7 - z = 0 (3) Find the volume enclosed by the following two parabolic cylinders y = 2x +x2 and y2x2xand the planes x +y + z = 3, 2x + y + 7 - z = 0
3. Suppose x,y,z satisfy the competing species equations <(6 - 2x – 3y - 2) y(7 - 2x - 3y - 22) z(5 - 2x - y -22) (a) (6 points) Find the critical point (0,Ye, ze) where ye, we >0, and sketch the nullclines and direction arrows in the yz-plane. (b) (6 points) Determine if (0, yc, ze) is stable. (c) (8 points) Determine if the critical point (2,0,0) is stable, where I > 0.
(5 points) 2. Find the line integral of f (x, y, z) = 2x – 3y + 5z along the straight line segment from (1,0, 2) to (3, 2, -1).
5. Calculate the surface area of the portion of the sphere x2+y2+12-4 between the planes z-1 and z ะไ 6. Evaluate (xyz) dS, where S is the portion of the plane 2x+2y+z-2 that lies in the first octant. 7. Evaluate F. ds. a) F = yli + xzj-k through the cone z = VF+ア0s z 4 with normal pointing away from the z-axis. b) F-yi+xj+ek where S is the portion of the cylinder+y9, 0szs3, 0s r and O s y...