The radius of a circular ink blot is increasing at a constant rate of 0.2 cms¯'. (i) Calculate, in terms of a, the rate, in cms', at which the area of the ink blot is increasing at the instant when its radius is 1 cm. (ii) Find the time taken in seconds for the area of the ink blot to increase from t cm² to 4n cm2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The radius of a circular ink blot is increasing at a constant rate of 0.2 cms.
(i) Calculate, in terms of TT, the rate, in cm´s', at which the area of the ink blot is
increasing at the instant when its radius is 1 cm.
(ii) Find the time taken in seconds for the area of the ink blot to increase from t cm² to
4n cm?.
Transcribed Image Text:The radius of a circular ink blot is increasing at a constant rate of 0.2 cms. (i) Calculate, in terms of TT, the rate, in cm´s', at which the area of the ink blot is increasing at the instant when its radius is 1 cm. (ii) Find the time taken in seconds for the area of the ink blot to increase from t cm² to 4n cm?.
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