Use a graphing utility to graph the polar equation, draw the tangent line at the given value of 0, and find 플 (a) Graph the polar equation and draw the tangent line at the given value of 8. (Select the correct graph.) -1 (b) Find dy dx r = 4 sin(8), 8 = /2 3 -1 -2 1 \2 3 dy 8. (Hint: Let the increment between the values of equal dx at the given value of 0. at the given value of л/2 10 л/2 6k 5 0 Å Å 0 -2 2 4 6 8 10 0 -2 2 4 6 8 10 -2 at the given value of 0. (Round your answer to three decimal places.) dx Ⓡ IT 24 -0.5 л/2 1.5) 1.0 0.5 -0.5 -1.0 0.5 4.0 1.5 0 Ⓡ

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.8: Graphs Of Polar Equations
Problem 75E
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10.4

dy
Use a graphing utility to graph the polar equation, draw the tangent line at the given value of 0, and find y at the given value of 0. (Hint: Let the increment between the values of equal
dx
TT
r = 4 sin(0), 8 = 3
(a) Graph the polar equation and draw the tangent line at the given value of 0. (Select the correct graph.)
π/2
10
5
Å‚Å‚Å‚Å
0
4
6 8
10
-4 -2
2 4 6 8 10
-1
(b) Find dy
dx
dy
dx
=
π/2
3
-1
-2
1
2
3
0
-2
π/2
2
-2
-4
at the given value of 0. (Round your answer to three decimal places.)
2
TU
24
0
π/2
-0.5
1.5
1.0
0.5
-0.5
-1.0
0.5
1.0
1.5
0
Transcribed Image Text:dy Use a graphing utility to graph the polar equation, draw the tangent line at the given value of 0, and find y at the given value of 0. (Hint: Let the increment between the values of equal dx TT r = 4 sin(0), 8 = 3 (a) Graph the polar equation and draw the tangent line at the given value of 0. (Select the correct graph.) π/2 10 5 Å‚Å‚Å‚Å 0 4 6 8 10 -4 -2 2 4 6 8 10 -1 (b) Find dy dx dy dx = π/2 3 -1 -2 1 2 3 0 -2 π/2 2 -2 -4 at the given value of 0. (Round your answer to three decimal places.) 2 TU 24 0 π/2 -0.5 1.5 1.0 0.5 -0.5 -1.0 0.5 1.0 1.5 0
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