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viva [34]
3 years ago
13

Rearrange the equation so U is the independent variable. 4u+8w=−3u+2w

Mathematics
2 answers:
Basile [38]3 years ago
8 0

Answer:

u=-\frac{6}{7} w

Step-by-step explanation:

4u+8w=-3u+2w

Add 3u and -8w on both sides.

4u+3u=2w-8w

Add or subtract like terms.

7u=-6w

Divide 7 on both sides.

7u/7=-6w/7

u=-\frac{6}{7} w

u  is the independent variable now.

mojhsa [17]3 years ago
5 0

Answer:

independent variable means the variable after the equal sign

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shepuryov [24]

Answer:

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Step-by-step explanation:

Given a box with a square base and an open top which must have a volume of 157216 cubic centimetre. We want to minimize the amount of material used.

Step 1:

Let the side length of the base =x

Let the height of the box =h

Since the box has a square base

Volume =x^2h=157216

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Step 2: Find the derivative of A(x)

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Step 3: Set A'(x)=0 and solve for x

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Step 4: Verify that x=68 is a minimum value

We use the second derivative test

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Therefore, the dimensions that minimizes the box surface area are:

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