?Use differentials to estimate the amount of paint needed to apply a coat of paint

Chapter 3, Problem 44

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QUESTION:

Use differentials to estimate the amount of paint needed to apply a coat of paint \(0.05 \mathrm{~cm}\) thick to a hemispherical dome with diameter  \(50 \mathrm{~cm}\).

Equation Transcription:

Text Transcription:

0.05 cm  

50 cm

Questions & Answers

QUESTION:

Use differentials to estimate the amount of paint needed to apply a coat of paint \(0.05 \mathrm{~cm}\) thick to a hemispherical dome with diameter  \(50 \mathrm{~cm}\).

Equation Transcription:

Text Transcription:

0.05 cm  

50 cm

ANSWER:

Step 1 of 6

If , where  is differentiable, then the differential  is

where the differential  is independent variable.

The Power Rule, for any real number  is

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