4. Find the minimum value of f(x, y) = xy subject to x² + y² = 8. 5. Find the minimum value of f(x, y, z) and x+y=z= 0. = 3x - y - 3z subject to x² + 2z² = 1

Q: Use the Least-Square method to find a line in the form of a= do – d · I that best fits the following…

A: I try to solve by different method. This one is simple method.

Q: y(2x? - xy + 1) dx + (x - y) dy = 0, ANS. y(2x – y) = c exp (-x?).

A: Given differential equation is y(2x2-xy+1)dx+(x-y)dy=0

Q: Please help explain how to do this lagrange multiplier to find the max and min?

A: We need to find the max and min values of the given function subject to the given constraints. Here,…

Q: The municipal Parks Department is planning a new flower bed outside the city hall. It will be…

A: Given that the dimensions of the rectangular park are 9 m by 6 m. The flower bed will be surrounded…

Q: Find the Laplace Transforms of the following functions: (c) f(t) = cos³ t. (e) f(t) = sin 2t cos 3t.

A:

Q: Determine all the points, nearest to the point (0.0.2) on the following graph: 3x^2 + 2y^2 -z = 0

A:

Q: Solve the following higher-order differential equations: 3. x" + x = t cost + sint

A:

Q: Find the triangle whose perimeter is constant and has the largest area using Lagranges Multiplier…

A: Perimeter of triangle = Constant  Area of triangle = maximum

Q: (D² + 1)y= sec³x solve using variation of parameters/

A:

Q: The credit office of a departmental store gave the following statements for payment due to 40…

A: Solution Given data

Q: You are going to fence in three sides of a yard with 400 meters of fence. What will the dimensions…

A: The given yard is in the shape of rectangle and the farmer wants to fence three sides of it,  Given…

Q: Determine the cylinder's absolute max and absolute min given the function f(x, y) = 3x² + 2y² - 4y;…

A:

Q: Find the root of the following equation through Incremental search method

A: Given function is fx=x3−x−1. We have to find the root of the equation fx=x3−x−1 by using Incremental…

Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use…

A:

Q: Derive all the possible equations of x. Given : (x-2)^2+lnx=0

A:

Q: . Suppose the revenue, in dollars, for producing x chairs is given by r(x) = 90x and the cost to…

A:

Q: 8. Find the longest and the shortest distances from (1, -2) to r? + 2y? = 1. 9. Try to solve problem…

A: Distance formula=Sqrt{(x-x1)^2 +(y-y1)^2} The Lagrange method of multipliers is  F(x,y)=f(x,y)+lamda…

Q: During sales hour in a supermarket, Cynthia measures her urgency from buying a bags of candies and y…

A: The given problem is to find the maximum number of bags of chocolates and candies bought with given…

Q: Question no 1: If the given function is continuous and having a root in [-1, a] where a= (last three…

A:

Q: Use Lagrange multiplier to find the dimensions and area of the largest rectangular lot that can be…

A: Let fx, y=xy denotes the area of the rectangle where x, y denotes the length and breadth of the…