Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using differentials, estimate the relative error in the area of the triangle. O 0.0433 O (E) None of the choices O 0.43 O 0.075 O 0.67

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Help me solve this please... differential calculus

Each side of an equilateral triangle measures 3cm, with a
possible error of 0.1cm. Using differentials, estimate the
relative error in the area of the triangle.
O 0.0433
O (E) None of the choices
O 0.43
O 0.075
O 0.67
Transcribed Image Text:Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using differentials, estimate the relative error in the area of the triangle. O 0.0433 O (E) None of the choices O 0.43 O 0.075 O 0.67
Use differentials to estimate the amount of paint needed
to apply a coat of paint 0.05 cm thick to a hemispherical
dome with diameter 50 m. Estimate the relative error in
computing the surface area of the hemisphere.
O 0.2
O 0.02
O (E) None of the choices
O 0.002
O 0.00002
Transcribed Image Text:Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 m. Estimate the relative error in computing the surface area of the hemisphere. O 0.2 O 0.02 O (E) None of the choices O 0.002 O 0.00002
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