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How do I solve this in steps? And what equations do I use?
Step by step
Solved in 3 steps with 2 images
- Use Lagrange multipliers to find the points on the cone z2 = x2 + y2 that are closest to (8, 2, 0) (x,y,z) = ( ) smaller z- value (x,y,z) = ( ) larger z- valueUse Lagrange multipliers to find the points on the cone z2 = x2 + y2 that are closest to the point (8, 6, 0). smaller z-value (x, y, z) = 4,3,−10 larger z-value (x, y, z)Use Lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point (0, 3, 2).
- Use Lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point (0, 1, 5). (x, y, z) =Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces. Cone: x2 + y2 − z2 = 0 Plane : x + 2z = 4Use Lagrange multipliers to find the points on the given cone that are closest to the following point. z2 = x2 + y2; (2, 10, 0)
- Use Lagrange multipliers to find the point on the plane x-y+z=7 closest to the point (4,5,1).Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces. Cone: x2 + y2 - z2 = 0, Plane: x + 2z = 1Use Lagrange multipliers to find the shortest distance from the point (5, 0, −8) to the plane x + y + z = 1.
- Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces. Sphere: x2 + y2 + z2 = 36, Plane: 2x + y − z = 2Use the method of Lagrange multipliers to find the minimum distance between the parabaloid z=x^2+4(y^2) and the point (3,0,0). Please write neatlyUse Lagrange multipliers to find the points on the given cone that are closest to the following point. z2 = x2 + y2; (8, 16, 0) (x,y,z)=(?) (Smaller z-value) (x,y,z)=(?) (Larger z-value)