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# 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$

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

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Michael J.

Idaho State University

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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.

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