The length x of rectangle is increasing at the rate of 3cm/ sec and width y is increasing at the
rate of 2cm/sec. Find the rate of change of its area when x = 10cm and y = 6 cm.
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Step-by-step explanation:
Rate of change of area is 18cm²/sec
Explanation
X=3cm/sec
y= 2cm/sec
area in the first second= 2×3= 6cm² - 1
area when X=10cm and y=6cm = 10×6 = 60cm² -2
rate of change of area= final area- initial area/time taken to reach that are = 60-6/3= 54cm²/3 = 18cm²/sec
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