# 10.4 EXERCISES1-4 Find the area of the region that is bounded by the givencurve and lies in the specified sector.1. r = e 0/4, TT/2 0T2. r cos 0, 00T/6i6us s3. r= sin 0 + cos 0, 0

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Find the area of the region that is bounded by the given curve and lies in the specified sector.

4. r = 1/θ,    (pi/2) <= θ <= 2pi help_outlineImage Transcriptionclose10.4 EXERCISES 1-4 Find the area of the region that is bounded by the given curve and lies in the specified sector. 1. r = e 0/4, TT/2 0T 2. r cos 0, 00T/6 i6 us s 3. r= sin 0 + cos 0, 0 <0 < T 4. r 1/0, T 2 02T 6 fullscreen
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Step 1

We have to use area formula of polar coordinates with a= pi/2 and b=2pi

Step 2

We plug r=1/theta in the formula and then try to integ... help_outlineImage TranscriptioncloseS 2 A= 2 r 1 A= 2 2 1 OP 2 2 A= 2 2T A= - 2 fullscreen

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