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The trunk of a tree has a diameter of 30 cm. During the following year, the circumference grew 6 cm. Approximately how much did the tree diameter grow?

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प्रश्न

The trunk of a tree has a diameter of 30 cm. During the following year, the circumference grew 6 cm. Approximately how much did the tree diameter grow?

योग
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उत्तर

Diameter of the trunk of the tree

D = 30 cm

Rate of change of circumference

ds = 6 cm per year

Circumference S = πD

dS = πdD

6 = πdD

`6/[i` = dD

Rate of increasing diameter = `6/pi`cm

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Linear Approximation and Differentials
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Differentials and Partial Derivatives - Exercise 8.2 [पृष्ठ ६८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 8 Differentials and Partial Derivatives
Exercise 8.2 | Q 5. (i) | पृष्ठ ६८

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