i) Find dp(v5,Vs), dp(v2,V4), and dp(V2,Vg). ii) What is the maximum distance between any two vertices?

Q: Find b and c so that y = - 8x + bx + c has vertex (0, – 1). %3D %3D c =

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Q: Use lagrange multiplier to find dimensions (X, y) of rectangular with maximum area and having a…

A: Given:  Circumference of rectangle is 144 Let X, Y denotes the length and breadth of a rectangle…

Q: 5. Where does y = 2Vx-3 intersect with y =Vx-1? Support your answer with algebra. %3D %3D graph is…

A: The given equations of the curves are: y=2x-3 and y=12x-1 To find their intersection point, equate…

Q: 4. The bottom of the legs of a three-legged table are the vertices of an isosceles triangle with…

A: In the question 4 it is asked to calculate the minimum wire length required to make a brace of of…

Q: Use Lagrange multipliers to find the minimum and maximum values of f(x, y) = 3x - 2y on the circle…

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Q: Use the Method of Lagrange Multipliers to find the largest product that the positive numbers x, y,…

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Q: Use the method of Lagrange multipliers to find three positive real numbers, x, y, and z whose…

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Q: 6. Quadrilateral STUV with vertices S(-4, 2), T(-2, 6), U(1,7), and V(4, 1) in the x-axis. nioM S'L.…

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Q: Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject to…

A: GIVEN Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject…

Q: Use Lagrange multipliers to find three pos- itive numbers whose sum is 174 and whose product is a…

A: Solve the following

Q: : (a) Find the maximum value of 4x + 3y+ 2z subject to the constraints x+y+z 0. Do this by…

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Q: B) Use Lagrange multipliers to find the points on the ellipse 2x² +y² = 1, where f (x, y) = xy has…

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint æ? + y? +…

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Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If…

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Q: 6. Find the extreme valucs of f(r,y) = ry subject to the constraint 4x2 + y? = 8 by using the method…

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Q: an I ask how the maximum and mininmum points were obtained?

A: We need to find max and min points.

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 Lagrange multipliers to find the shortest distance from the given point to the following plane.…

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Q: By using the Lagrange multiplier, find the three positive number, x, y, and z whose sum is h and…

A: Here, you have to maximize the function x4y8z7, subject to the condition that x+y+z=h⋯⋯1. In order…

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: 1. Without using Lagrange Multipliers, find three positive numbers whose sum is 100 and whose…

A: let the numbers be "x" and "y" Given the sum of numbers is 100  then  x+y=100                  Then…

Q: Use Lagrange multipliers to find the shortest distance from the given point to the following plane.…

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Q: Find the minimum value of f(x,y)=x^2+y^2 subject to the constraint 6x+4y=18 using the method of…

A: Given f(x,y)=x2+y2g(x,y)=6x+4y−18

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: Suppose there are three planes in R^3. These three planes could intersect at a single point. What…

A: Any three planes considered at random in space R3 can either intersect or be parallel. There can be…

Q: Use Lagrange multipliers to find the point on the surface 3x+y−3=0 closest to the point…

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Q: Q Use Lagrange multipliers to tind the maximum an Ċ minimnm valnes and Points (x ) at which they…

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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: . Find the minimum value of C = 3x + 5y subject to %3D 4x +3y > 240 4x + y > 120 y > 0

A: 4x+3y≥240 divide both sides by 240 4x240+3y240≥240240 x60+y80≥1 compare this equation with the…

Q: What points in the xy-plane satisfy the equations and inequalities in Exercises 11–12? Draw a figure…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: What points in the xy-plane satisfy the equations and inequalities in Exercises 11–12? Draw a figure…

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Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8

A: max U=x+y+z subject to xyz=8

Q: What is the shortest distance from the point (4, 0, 5) to the sphere (x-1)2 + (y+2)2+2 = 367? %D O…

A: topic - shortest distance between point and sphere

Q: Find the maximum value of f(r, y) = 10ry(4 – 8z - 4y) over the triangle with vertices (0, 0), (,0)…

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Q: A semi-elliptical building is 200 feet long and 25 feel tall at its maximum point. If two people…

A: Third option is the correct option. When the two people stand at the focus of the semi-ellipse and…

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 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: 7. Use Lagrange multipliers to find the maximum and minimum values of f(r, y) = 4x – 8y subject to…

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Q: B) The line passes through the point (2,4,5) and perpendicular to the plane 2x+y- intersects the x-y…

A: Given that the line passes through the point (2, 4, 5) and perpendicular to the plane 2x+y-5z =21

Q: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

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Q: A rectangular field is to have an area of 900 sq. m. This is to be enclosed and divided into three…

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Q: B) Use Lagrange multipliers to find the dimensions of the closed circular cylinder of smallest…

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Q: Determine the minimum distance from the point (5, –1) to the parabola given byy = x², using Lagrange…

A: To find the minimum distance first form the function using the square of the distance formula…

Q: The distance between the centers of the following two spheres: x2+56x+y2−54y+z2=−1512,…

A: A detailed solution is given below

Q: Use Lagrange multipliers to find the maximum value of f(x, y) = 6x + 6xy +y where x >0 and y>0…

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Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum…

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Q: Find maximum and minumum values of f(r, y, z) = 8x – 16y + 40z subject to the constraint z? + y? +…

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Q: Constraint:

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.