From a 27-cm by 27-cm piece of cardboard, square corners are cut out so that the sides can be folded up xi to make a box. Complete parts a through c below. a) Express the volume of the box as a function of the side x, in centimeters, of a cut-out square. V=

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A: 1 inch = 2.54 cm    1 cubic inch  = (1 inch × 1 inch × 1 inch)  = (2.54 cm × 2.54 cm × 2.54 cm)  =…

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A: This question can be solved using the concept of maxima and minima.

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Q: If 1200 cm? of material is available to make a box with a square base and an open top, what is the…

A: according to our guidelines we can answer only first question and rest can be reposted.

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A: Given: Formula used: The area of a rectangle is length * width.

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A: we have to find area.

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Q: = Boosi 28

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A: This is the question of the application of the Pythagoras theorem.

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A: We use second derivative test to find out dimensions of rectangular garden have maximum area

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A: given,             farmer adds fencing of 480feet.

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A: Please refer to the image below

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.