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An Open Box Is to Be Made from a Square 1212 ^ {||}

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An open box is to be made from a square piece of cardboard, 36 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) . After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.  An open box is to be made from a square piece of cardboard, 36 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) . After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.     A)   12 ^ {||}  ×  12 ^ { ||}  ×  6^{||}  B)   24^{||}  ×  24^{||}  ×  6^{||}  C)   24^{||}  ×  24^{||}  ×  12 ^ { || }  D)   18^ { ||}  ×  18^ { ||}  ×  12^ { ||}  E)   6^ { ||}  ×  6^ { ||}  ×  3^ { ||}  An open box is to be made from a square piece of cardboard, 36 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) . After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.     A)   12 ^ {||}  ×  12 ^ { ||}  ×  6^{||}  B)   24^{||}  ×  24^{||}  ×  6^{||}  C)   24^{||}  ×  24^{||}  ×  12 ^ { || }  D)   18^ { ||}  ×  18^ { ||}  ×  12^ { ||}  E)   6^ { ||}  ×  6^ { ||}  ×  3^ { ||}

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Definitions:

Bonds

Securities issued by corporations or governments that represent a loan from the investor to the issuer, typically paying periodic interest payments and returning the principal at maturity.

Maturation

The process of becoming mature, either physically, emotionally, or in the case of products and ideas, reaching a state of full development.

Yield to Maturity

The total return expected on a bond if it is held until its maturity date.

Bonds

Fixed-income investments where an investor loans money to an entity (corporate or governmental) that borrows the funds for a defined period at a variable or fixed interest rate.

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