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Each side of a square is increasing at a rate

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Each side of a square is increasing at a rate

asked Jan 20, 2015 in CALCULUS by anonymous

1 Answer

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Step 1:

Side of a square is increasing at a rate of 6 cm/sec and the area of a square is 16 cm2 .

Assume side of a square as .

Area of a square is .

The area of a square is 16 cm2 .

Rate of change of function is derivative of the the function with respect to

Rate of change of area is

Power rule of derivative is

.

.

Step 2:.

Rate of increase of side of square is  .

Substitute , in the

Rate of change of area

Solution:

Area of the Square is increasing at a rate of

answered Jan 20, 2015 by cameron Mentor

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