to find the use lagrange Multiplier Point p (x1s,Z) Closest to the origion on the Plane 2x +y - 2=5 .verify 2×+y - そ=5 Your answer by Sing progection.
Q: Find the point on the plane 3x + 2y + z = 6 closest to the origin. (Hint: Use Lagrange multipliers.)
A: Given plane is, 3x+2y+z=6, we need to find the point on this plane closest to the origin.
Q: Use Lagrange multipliers to find the distance from the point (3, 0, -1) to the plane 6x - 4y + 7z +…
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Q: Determine the solid bounded by the surfaces 9x2+4y2=30 and the plane 9x+4y−6z=0 in the first octant.
A: Given surface is 9x2+4y2=30 and plane is 9x+4y-6z=0 Bounded region in first octane ⇒x≥0, y≥0, z≥0…
Q: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…
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Q: Find the area of the band cut from the paraboloid x2 + y2 - z = 0 by the planes z = 2 and z = 6.
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Q: Find the maximum value that ƒ(x, y, z) = x2 + 2y - z2 can have on the line of intersection of the…
A: Given and planes are
Q: Find the minimum and maximum squared distance between the sphere x² + y² + z² = 9 and the point…
A: We have to find the minimum and maximum squared distances between the sphere x2+y2+z2=9 and the…
Q: Show that the area of that portion of the surface of the paraboloid x² + y² = 4z included between…
A: Here we need to find area between given plane and x*x + y*y = 4z
Q: Find the dimensions of the largest rectangular box in the first octant (x, y, z > 0) with one corner…
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Q: Find the trace of the plane 3x − 2y + 5z = 4 in the xy-plane.
A: The given equation of the plane is 3x-2y+5z=4. The trace of the plane in the xy-plane is the…
Q: Find the area of one side of the “wall” standing orthogonally on the curve 2x + 3y = 6, 0<=x<=…
A: To Determine: Find the area of one side of the “wall” standing orthogonally on the curve…
Q: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…
A: Use Lagrange multiplies we find heighest point on the curve ofintersection of the surface cone:…
Q: Find the area of the vertical wall whose base is the semicircle {(x, y) | x² + y² = 1 and y>0} and…
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Q: FIND THE AREA OF THE SURFACE FOR THE PORTION OF THE PARABOLOID Z = 49-x² - y² IN THE FIRST OCTANT
A: Formula: The surface area of the function z=fx, y over the region D is: SA=∫∫D1+zx2+zy2 dA The given…
Q: Use Lagrange multipliers to find the points on the given cone that are closest to the following…
A: Let (x,y,z) be the point which is closest to the point (2,4,0) .
Q: Use Lagrange's multiplier(s) to find the maximum and minimum for f(x, y, z) = x² + 2x + 2y2 + 3z2 on…
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Q: Find the orthogonal trajectories on the sphere x2 + y2 + z2 = a2 of its intersection with the…
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Q: Find the distance between these two planes x + 2y –' 2z = 3 and 2x + 4y - 4z = 7.
A: Devide the equation of 2nd plane by 2 .we get that both planes are parallel so just apply formula…
Q: Find the maximum volume of a box that is resting on the xy-plane with one vertex at the origin and…
A: Given the plane is 3x+4y+2z=12
Q: Use the method of Lagrange multipliers to find the shortest distance from the point (-2, –3, 1) to…
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Q: Use the Disk Method Y= x^(3/2) , Y = (3/2)x , revolved around X = 5
A: First we have to design the integral using the given conditions, and for that obtain functions of…
Q: Find the distance between the planes M: 3x – 4y + z – 17 = 0 and N: 6x – 8y + 2z + 68 = 0.
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Q: Use the Lagrange multiplier method to find the point on the plane 4x +3y +2z = 0 with the smallest…
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Q: 2. Find a unitvedctor with positive z-component porpendcular to the plane 2xt2y-2=3 Z-C
A: We will find out the required value.
Q: Find the point on the plane 3x + 2y + z = 6 closest to the origin. Hint: Use Lagrange multipliers.
A: The given plane: 3x+2y+z=6 To find the point on the plane 3x+2y+z=6 closest to the origin. Solution:…
Q: Use Lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the…
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Q: 3. Use LaGrange multipliers to find the point on the plane 2r - y+4z = 10 that is closest to the…
A: Use Lagrange method to find point
Q: wz bisects 2XZY and 2X = ZY . Which choice of method can be used to prove AXWZ = 4YWZ ?
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Q: 4. Use the method of Lagrange Multipliers to find the point on the plane r+y- 2 = 5 that is closest…
A: Given: The plane equation is x+y-z=5 and the point is -3, 5, 4.
Q: Give equations for two distinct planes whose trace in the xy-plane hasequation 4x + 3y = 8.
A: Given information: The xy-plane has equation 4x + 3y = 8. Calculation: The equation of the plane is…
Q: Find the average height of the paraboloid z = x2 + y2 over the square 0<= x <= 2, 0…
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Q: Find the area of the surface. The surface cut from the “nose” of the paraboloid x = 1 - y2 - z2 by…
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Q: Find the distance between the planes 4x + 5y + z = 25 and 4x + 5Y + z = 53. %3D
A: Explanation of the solution is given below....
Q: Find the area of the cap cut from the paraboloid y2 + z2 = 3x by the plane x = 1.
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Q: Find the extreme values of z on the surface 2x² + 3y2 + z2 - 12xy + 4xz = 35.(DO NOT USE LAGRANGE…
A: For the solution follow the next steps.
Q: 9. Suppose that a : R³ → R³ by perpendicular projection onto the plane 3x – 2y + z = 0. Find ↑
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Q: Use the Lagrange multiplier method to find the point of the plane 4x-5y+3z=1 with less distance to…
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Q: Use Lagrange Multiplier to find the Point P (x,y,z) closest to the origin on the plane containing…
A: The equation of the plane passing through the three points can be obtained using the matrices. The…
Q: Use Lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point…
A: First note that , if (x,y,z) be any point on tha plane x-2y + 3z = 6 then distance between…
Q: Find the distance between the two parallel planes 5x – 3y + z – 2 = 0 %3D -10x + 6y – 2z + 3 = 0
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Q: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…
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Q: Find the area of on of the triangle that can drawn between the planes 3x – 6y – 2z = 15 - and 2r + y…
A: For any triangle that will lie between two planes, one point has to lie on a plane and the other two…
Q: find the (dis tan ant) between the planes ml and m2 when ml =: 3x - 2y+z = 9 and m2 =: 6x - 4y+ 2z =…
A: Consider the equation of planes m1: A1x+B1y+C1z+D1=0 m2: A2x+B2y+C2z+D2=0Two planes are parallel if…
Q: What is the center of X x² + y² – 30x + 221 = 0? Show all work for full credit.
A: Topic = Geometry
Q: Find the distance between the planes M: 3x – 4y + z – 17 = 0 and N: 6x – 8y + 2z + 68 = 0. %3D
A: Distance between parallel planes d=(d2-d1) /(sqrt(a2+b2+c2)
Q: Find the point closest to the origin on the curve of intersection of the plane 2y + 4z = 5 and the…
A: We have to find the point closest to the origin on the curve of the intersection of the plane…
Q: Find the area of on of the triangle that can drawn between the planes 3x – 6y – 2z = 15 and 2r + y -…
A: The equations of the two planes are: 3x-6y-2z=152x+y-2z=5 As, 5,0,0 satisfies the equation of plane…
Q: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…
A: Given: Equation of cone is x2+y2-z2=0 and equation of plane is x+2z=4. To determine: The highest…
Q: Find the area of the surfaces The surface cut from the “nose” of the paraboloid x = 1 - y2 - z2 by…
A: The surface cut from the '' nose '' of the paraboloid x=1-y2-z2 by the yz plane .…
Q: Find the point lying on the intersection of the plane x + + z = 0 and the sphere x2 + y2 + z2 = 25…
A: According to the given information, it is required to find a point lying on the intersection of the…
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- Find the point on the circle x2 + y2 = 1 that is closest to the point (1, 3/4) by using the method of Lagrange multipliers.Use the method of Lagrange multipliers to find the point/s on the parabola y = 3x2 that is/are closest to (0, 3). Show complete solution.Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse x2/16 + y2/9 = 1 with sides parallel to the coordinate axes.
- solve and explain q#3 and q#4 using Lagrange multipliersUse the method of Lagrange multipliers to find the dimensions of a rectangle withperimeter p and maximum area.Use the method of Lagrange multipliers to find the points on the circle x2 + y2 = 52 that are closest to and farthest from the point (−3, 2).
- Use Lagrange multipliers to find the point (a,b) on the graphof y = e4x, where the value ab is as small as possible.P =Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is maximum.Use the Lagrange multiplier method to find the point on the plane 4x +3y +2z = 0 with the smallest distance to the point (-3,-2,1).
- Use Lagrange multipliers to find the given extremum. Assume that x and y are positive.Use Lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point (0, 3, 2).Use 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 neatly