what should be in that blank?

in Calculus Answers by Level 2 User (1.4k points)

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1 Answer

Let x=3+∆x when y=2+∆y, so 2+∆y=(4+∆x)^½=2(1+∆x/4)^½=2(1+∆x/8) when ∆x is very small.

Therefore 2+∆y=2+∆x/4, ∆y=∆x/4, ∆x=4∆y. When ∆y=0.0002, ∆x=0.0008.

CHECK

Let x=3.0008, then y=√4.0008=2.0002 approximately (more accurately y=2.00019999). So x is within 0.0008 of 3.

by Top Rated User (1.0m points)

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