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24. (a) GU Plot the spiral r(0) = 0 for 0 ≤ 0 ≤ 8л. (b) On your plot, shade in the region that represents the incre enclosed by the curve as 0 goes from 67 to 87. Compute the s (c) Show that the increase in area enclosed by the graph of r(E from 2nл to 2(n + 1)л is 8nл³. 25. Calculate the total length of the circle r = 4 sin as an in lar coordinates. Home

24. (a) GU Plot the spiral r(0) = 0 for 0 ≤ 0 ≤ 8л. (b) On your plot, shade in the region that represents the incre enclosed by the curve as 0 goes from 67 to 87. Compute the s (c) Show that the increase in area enclosed by the graph of r(E from 2nл to 2(n + 1)л is 8nл³. 25. Calculate the total length of the circle r = 4 sin as an in lar coordinates. Home

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Can you help me solve 31 by computing the length of the polar curve?
24. (a) GU Plot the spiral r(0) = 0 for 0 ≤ 0 ≤ 8л. (b) On your plot, shade in the region that represents the incre enclosed by the curve as goes from 6л tо 8л. Compute the s (c) Show that the increase in area enclosed by the graph of r(6 from 2nл to 2(n + 1)л is 8nл³. 25. Calculate the total length of the circle r = 4 sin as an in lar coordinates. 26. Sketch the segment r= sec 0 for 0≤ 0 ≤ A. Then comp in two ways: as an integral in polar coordinates and using trig In Exercises 27-34, compute the length of the polar curve. 27. The length of r = 02 for 0 ≤ 0≤T 28. The spiral r = 0 for 0 ≤0 ≤ A 29. The curve r = sine for 0 ≤ 0 ≤ 30. The equiangular spiral r = e for 0 ≤ 0 ≤ 2π 31. r = √1+ sin 20 for 0 ≤ 0 ≤ π/4 32. The cardioid r = 1- cos 0 in Figure 14 0.4 33. r = cos²0 34. r= 1+0 for 0≤ 0 ≤ T/2 In Exercises 35-38, express the length of the curve as a
Transcribed Image Text:24. (a) GU Plot the spiral r(0) = 0 for 0 ≤ 0 ≤ 8л. (b) On your plot, shade in the region that represents the incre enclosed by the curve as goes from 6л tо 8л. Compute the s (c) Show that the increase in area enclosed by the graph of r(6 from 2nл to 2(n + 1)л is 8nл³. 25. Calculate the total length of the circle r = 4 sin as an in lar coordinates. 26. Sketch the segment r= sec 0 for 0≤ 0 ≤ A. Then comp in two ways: as an integral in polar coordinates and using trig In Exercises 27-34, compute the length of the polar curve. 27. The length of r = 02 for 0 ≤ 0≤T 28. The spiral r = 0 for 0 ≤0 ≤ A 29. The curve r = sine for 0 ≤ 0 ≤ 30. The equiangular spiral r = e for 0 ≤ 0 ≤ 2π 31. r = √1+ sin 20 for 0 ≤ 0 ≤ π/4 32. The cardioid r = 1- cos 0 in Figure 14 0.4 33. r = cos²0 34. r= 1+0 for 0≤ 0 ≤ T/2 In Exercises 35-38, express the length of the curve as a
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