The radiation from a transmitting antenna is not uniform in all directions. The intensity from a particular antenna is modeled by r = a cos² 0. (a) Convert the polar equation to rectangular form. (b) Use a graphing utility to graph the model for a = 5 and a = 8. π/2 π/2 $ 6 0 2 4 6 x/2 3 -4 -4 -2 π/2 2 4 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The radiation from a transmitting antenna is not uniform in all directions. The intensity from a particular antenna is modeled by r = a cos² 0.
(a) Convert the polar equation to rectangular form.
(b) Use a graphing utility to graph the model for a = 5 and a = 8.
π/2
ㅠ/2
3
2
π/2
2
-2
-4
2
-2
π/2
4
2
2
6
4
0
Transcribed Image Text:The radiation from a transmitting antenna is not uniform in all directions. The intensity from a particular antenna is modeled by r = a cos² 0. (a) Convert the polar equation to rectangular form. (b) Use a graphing utility to graph the model for a = 5 and a = 8. π/2 ㅠ/2 3 2 π/2 2 -2 -4 2 -2 π/2 4 2 2 6 4 0
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π/2
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K327
ܝܢܝܝܝܝܢܝܝܝܝܢ
N
-3
0
9.
0
(c) Find the area of the geographical region between the two curves in part (b).
-2
-4
2
-2
π/2
4
2
4
-2
2
6
4
0
Transcribed Image Text:Need Help? Read It π/2 Watch It K327 ܝܢܝܝܝܝܢܝܝܝܝܢ N -3 0 9. 0 (c) Find the area of the geographical region between the two curves in part (b). -2 -4 2 -2 π/2 4 2 4 -2 2 6 4 0
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