Write a Differential Formula That Estimates the Given Change in Volume

question 197

Multiple Choice

Write a differential formula that estimates the given change in volume or surface area.
-The change in the surface area $S = 4 \pi r ^ { 2 }$ of a sphere when the radius changes from $r _ { 0 }$ to $r _ { 0 } + d x$

• A) \(\mathrm { dS } = 8 \pi \mathrm { r } _ { 0 } \mathrm { dr }\)
• B) \(d S = 2 \pi r _ { 0 } d r\)
• C) \(d S = 4 \pi r _ { 0 } ^ { 2 } d r\)
• D) \(\mathrm { dS } = 4 \pi \mathrm { r } _ { 0 } \mathrm { dr }\)

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