Ketch the bounded region enclosed by y=e2x, y=e4xy=e2x, y=e4x and x=1x=1. decide whether to integrate

3 answers
Question:

Ketch the bounded region enclosed by y=e2x, y=e4xy=e2x, y=e4x and x=1x=1. decide whether to integrate with respect to xx or yy, and then find the area of the region.

Answers

A) See the attached graph. The purple area appears to be what you want to find.

b) Integrating with respect to x seems much easier. If one were to integrate over y, there would need to be two regions of integration: [1, e^2] and [e^2, e^4].

c) [tex]\int\limits^1_0 {(e^{4x}-e^{2x})} \, dx =\frac{1}{4}(e^{4}-1) -\frac{1}{2}(e^{2}-1) \approx 10.2050094588[/tex]
[tex]Ketch the bounded region enclosed by y=e2x,y=e4xy=e2x,y=e4x and x=1x=1. decide whether to integrate[/tex]

Iplay an instrument and i'm in band
[tex]Asurvey asked 50 students if they play an instrument and if they are in a band[/tex]

4pounds of live bait and 1 pound of natural bait

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