5. Use Lagrange multipliers to determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft3, and requiring the least amount of material for its construction.

Q: what would you use for f and g in the Lagrange Multiplier Method?

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A: Part (a) Given data: The volume of can is V = 256 cm3.

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A:

Q: An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A…

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Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that…

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Q: 1. A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

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A:

Q: 3] Use Lagrange multiplier to find the dimensions that will maximize the area for rectangle whose…

A: Using Lagrange multiplier to find the dimension of rectangle whose area is maximum

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Q: Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

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Q: Define the term Lagrange multipliers?

A: we have to define the Lagrange multiplier.

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Q: 1. A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A: Given that a company needs a manufacture cylindrical cans out of tin, each volume must have both a…

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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: An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A…

A: Solution:

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.