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
10.4 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
We have to use area formula of polar coordinates with a= pi/2 and b=2pi
b A= de 2 2 A= 2 2
We plug r=1/theta in the formula and then try to integ...
S 2 A= 2 r 1 A= 2 2 1 OP 2 2 A= 2 2T A= - 2
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