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
Find the equations of the planes that bisect the angles between the two planes P1: x+y+z=1...
(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
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.
only #5 needed 4. Find the distance between the planes 2x – 3y +z+7 = 0 and 2x - 3y + 2-4 = 0. 5. Find the length of the curve f(t) = 24-7 +3+B+R, 15+3. Determine if the ring der TF lut finite cum RA
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.
Consider the following planes. x + y + z = 1, x + 5y + 5z = 1 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (X(t), y(t), z(t)) = ( 1, – 4t, 4t (b) Find the angle between the planes. (Round your answer to one decimal place.) 10.7 Xo
Find the distance between the two parallel planes. Planei: 2x + 3y + 92 = 9 Planez: 4x + 6y + 182 = 306 Distance: Submit Question
Question 12 Find parametric equations for the line of intersection of the planes - 2y+z= 1 and 2x + y - 3x = -3. Does the line L intersect the plane 2x - y - 3x = 1? If so, at what point? Note: This is the review exercise at the end of Lecture 2.
4 + x2 + (y-2)2 and the planes z = 1, x =-2, x Find the volume of the solid enclosed by the paraboloid z 2, y 0, and y 4. 4 + x2 + (y-2)2 and the planes z = 1, x =-2, x Find the volume of the solid enclosed by the paraboloid z 2, y 0, and y 4.
3. Suppose x, y, z satisfy the competing species equations 2(6 - 2x - 3y - 2) y(7 - 2.0 - 3y - 22) z(5 – 2x - y -22) (a) (6 points) Find the critical point (0, yc, ze) where yc, ze >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 (1,0,0) is stable, where 8c > 0.
3. Suppose x, y, z satisfy the competing species equations 2(6 - 2x - 3y - 2) y(7 - 2.0 - 3y - 22) z(5 – 2x - y -22) (a) (6 points) Find the critical point (0, yc, ze) where yc, ze >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 (1,0,0) is stable, where 8c > 0.