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Alex
3 years ago
12

Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the

square is 16cm^2?
Mathematics
1 answer:
siniylev [52]3 years ago
7 0

<u>Solution:</u> 48cm/s^2

<u>Working:</u>

A = s^2

Derivate s^2 (as it is area formula) which gives

dA/dt = 2s dL/dt

dL/dt = 6cm/s

Hence,

2(6) = 12

Side: 4cm

Hence,

dA/dt = (4)(12) = 48cm/s^2

<em>Feel free to mark this as brainliest :D</em>

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To start, distribute the 1/3 onto the x and the 4 in the parenthesis. That leaves you with

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