Find the points at which the following polar curve has a horizontal or a vertical tangent line. r = 8 sin 0 At what points does the polar curve have a horizontal tangent line? π OA. The polar curve has a horizontal tangent line at (0,0), 4₁ 3 OB. The polar curve has a horizontal tangent line at 2, T OD. The polar curve has a horizontal tangent line at 8, OC. The polar curve has a horizontal tangent line at (0,0) and 8, OA. The polar curve has a vertical tangent line at T At what points does the polar curve have a vertical tangent line? T B. The polar curve has a vertical tangent line at 8,- 6 and 8, T OD. The polar curve has a vertical tangent line at (0,0), 4, and 4√2,- and 8. T OC. The polar curve has a vertical tangent line at (0,0) and 8, and 3л (4√2, 7) and (4√/2, ³7). 4 and T 3 -4, 3π 2π 3 2π 3
Find the points at which the following polar curve has a horizontal or a vertical tangent line. r = 8 sin 0 At what points does the polar curve have a horizontal tangent line? π OA. The polar curve has a horizontal tangent line at (0,0), 4₁ 3 OB. The polar curve has a horizontal tangent line at 2, T OD. The polar curve has a horizontal tangent line at 8, OC. The polar curve has a horizontal tangent line at (0,0) and 8, OA. The polar curve has a vertical tangent line at T At what points does the polar curve have a vertical tangent line? T B. The polar curve has a vertical tangent line at 8,- 6 and 8, T OD. The polar curve has a vertical tangent line at (0,0), 4, and 4√2,- and 8. T OC. The polar curve has a vertical tangent line at (0,0) and 8, and 3л (4√2, 7) and (4√/2, ³7). 4 and T 3 -4, 3π 2π 3 2π 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the points at which the following polar curve has a horizontal or a vertical tangent line.
r = 8 sin 0
At what points does the polar curve have a horizontal tangent line?
π
OA. The polar curve has a horizontal tangent line at (0,0), 4₁
3
OB. The polar curve has a horizontal tangent line at
OC. The polar curve has a horizontal tangent line at (0,0) and 8,
OD. The polar curve has a horizontal tangent line at 8,
(8.1)
tangent line at (4√/2.) and (4√2. 3).
2,
At what points does the polar curve have a vertical tangent line?
OA. The polar curve has a vertical tangent line at
T
B. The polar curve has a vertical tangent line at 8,-
6
and 8,
and 8,
"
OC. The polar curve has a vertical tangent line at (0,0) and 8,
and
(4√2, 7) and (4√/2.³7)
T
Na
T
3
2π
3
OD. The polar curve has a vertical tangent line at (0,0). (4.), and (-4²)
3
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