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Naily [24]
3 years ago
10

What is the product of −214 and −412 ?

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0

<u>What is the product of −214 and −412 ? </u>

Product in Mathematics means to Multiply, The product is the answer to any multiplication in mathematics;


<u>Equation:</u>

−214  * −412 ==>    Solution:  ====>  88168

Steps:

-214 ( -412 )

<u>Apply Rule:</u>

-a ( -a )      =     a

=         214   *     412

<u>Multiply the numbers:</u>

214  *   412      =      88168

<u>Therefore, Your Answer is    ( -214 )( -412 )      =    88168</u>




Hope that helps!!!!                              : )

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Refer to the attached diagram:

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V = Length \times Width \times Height \\\\

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Width = 3 - 2x \\\\

The length of the shaded region is given by

Length = \frac{1}{2} (5 - 3x) \\\\

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In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.

\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\

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We may solve the quadratic equation using quadratic formula.

The quadratic formula is given by

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

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The volume of the box is maximized when x = 0.53 cm

Therefore,

x = 0.53 cm

Maximum volume = 1.75 cm³

7 0
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