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Numerade Educator

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Problem 22 Easy Difficulty

Compute $ \Delta y $ and $ dy $ for the given values of $ x $ and $ dx = \Delta x. $ Then sketch a diagram like Figure 5 showing the line segments with lengths $ dx, dy, $ and $ \Delta y. $
$ y = e^x, x = 0, \Delta = 0.5 $

Answer

$\Delta y=0.6487, d y=0.5$

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Video Transcript

Okay, so we know we have e to zero plus 0.5 minutes. Eat of zero is E 20.5 minus one, which is 0.64 87 Therefore, we have either zero times 0.50 is 11 times 0.50 point five. You know, we have Delta y and then don't tax.