{ "key_pair_value_system": true, "answer_rating_count": "", "question_feedback_html": { "html_star": "", "html_star_feedback": "" }, "answer_average_rating_value": "", "answer_date_js": "2024-06-10T00:09:12-04:00", "answer_date": "2024-06-10 00:09:12", "is_docs_available": "", "is_excel_available": "", "is_pdf_available": "", "count_file_available": 0, "main_page": "student_question_view", "question_id": "2544867", "url": "\/study-help\/questions\/find-the-distance-travel-33-find-the-area-bounded-by-2544867", "question_creation_date_js": "2024-06-10T00:09:12-04:00", "question_creation_date": "Jun 10, 2024 12:09 AM", "meta_title": "[Solved] Find the distance travel 33. Find the are | SolutionInn", "meta_description": "Answer of - Find the distance travel 33. Find the area bounded by the curve x = cost, y = e', (x, y) as i varies in the given tim | SolutionInn", "meta_keywords": "find,distance,travel,33,area,bounded,curve,x,cost,y,varies,tim", "question_title_h1": "Find the distance travel 33. Find the area bounded by the curve x = cost, y = e', (x, y) as i varies in the", "question_title": "Find the distance travel 33. Find the area bounded by the curve", "question_title_for_js_snippet": "Find the distance travel 33 Find the area bounded by the curve x cost, y e', (x, y) as i varies in the given tim 0 1 7 2, and the lines y 1 and x 0 length of the curve 51 x sin't, y cost, 34 Find the area of the region enclosed by the astroid x a cos 0, 0 y a sin'0 (Astroids are explored in the Laboratory Project 52 x cos't, y cost, 0 on page 695 ) 35 Find the area under one arch of the trochoid of Exercise 38 in 53 Show that the total length Section 1 1 1 for the case d b 0, is 36 Let OR be the region enclosed by the loop of the curve in Example 1 L 4a (a) Find the area of R (b) If R is rotated about the x axis, find the volume of the where e is the eccentricity resulting solid c Vaz b2) (c) Find the centroid of R 54 Find the total length of th where a 0 37 40 Ill Set up, but do not evaluate, an integral that represents the length of the curve CAS 55 (a) Graph the epitrochoi 37 x 1 12, y 313 2, 1six2 x 11 c 38 x 1 e', y 12, 351 3 y 1l s 39 x 1 cost, y t sint, Ost 21 What parameter inte 40 x Int, y Vt 1, Ists5 (b) Use your CAS to fin D CAS 56 A curve called Cornu's equations 41 44 Ill Find the length of the curve x CC 41 1 312, y 4 2 3, Ost 1 42 x a(cos 0 0 sin 0), y a(sin 0 cos 0), y S(t where C and S are the 43 x y In(1 t), Ost 2 Chapter 5 1 t' (a) Graph this curve (b) Find the length of 44 x e' e, y 5 21, Ost b 0, is L 4a V1 e2 sin20 do where e is the eccentricity of the ellipse (e c a, where he c Vaz b2) 54 Find the total length of the astroid x a cos'0, y a sin'0, where a 0 ents the CAS 55 (a) Graph the epitrochoid with equations x 1 1 cost 4 cos(1 1t 2) y 11 sin t 4 sin(1 1 2) What parameter interval gives the complete curve (b) Use your CAS to find the approximate length of this curve CAS 56 A curve called Cornu's spiral is defined by the parametric", "question_description": "\"image\"image\"image
\"image\"image\"image<\/div><\/div><\/div><\/figure> Find the distance travel 33. Find the area bounded by the curve x = cost, y = e', (x, y) as i varies in the given tim 0 1 7\/2, and the lines y = 1 and x = 0. length of the curve. 51. x = sin't, y = cost, 34. Find the area of the region enclosed by the astroid x = a cos 0, 0 y = a sin'0. (Astroids are explored in the Laboratory Project 52. x = cos't, y = cost, 0 on page 695.) 35. Find the area under one arch of the trochoid of Exercise 38 in 53. Show that the total length Section 1 1.1 for the case d b > 0, is 36. Let OR be the region enclosed by the loop of the curve in Example 1. L = 4a (a) Find the area of R. (b) If R is rotated about the x-axis, find the volume of the where e is the eccentricity resulting solid. c = Vaz - b2). (c) Find the centroid of R. 54. Find the total length of th where a > 0. 37-40 Ill Set up, but do not evaluate, an integral that represents the length of the curve. CAS 55. (a) Graph the epitrochoi 37. x = 1 - 12, y = 313\/2, 1six2 x = 11 c 38. x = 1 + e', y=12, - 351=3 y = 1l s 39. x = 1+ cost, y = t - sint, Ost= 21 What parameter inte 40. x = Int, y = Vt+1, Ists5 (b) Use your CAS to fin D CAS 56. A curve called Cornu's equations 41-44 Ill Find the length of the curve. x = CC 41. * = 1+ 312, y = 4+2+3, Ost= 1 42. x = a(cos 0 + 0 sin 0), y = a(sin @ - 0 cos 0), y = S(t where C and S are the 43. x = y = In(1 + t), Ost=2 Chapter 5. 1 + t' (a) Graph this curve. (b) Find the length of 44. x = e'+ e, y = 5 - 21, Ost b > 0, is L = 4a - V1 -e2 sin20 do where e is the eccentricity of the ellipse (e = c\/a, where he c = Vaz - b2). 54. Find the total length of the astroid x = a cos'0, y = a sin'0, where a > 0. ents the CAS 55. (a) Graph the epitrochoid with equations x = 1 1 cost - 4 cos(1 1t\/2) y = 11 sin t - 4 sin(1 1\/2) What parameter interval gives the complete curve? (b) Use your CAS to find the approximate length of this curve. CAS 56. A curve called Cornu's spiral is defined by the parametric", "transcribed_text": "", "related_book": { "title": "Entrepreneurship", "isbn": "1119563097, 9781119563099", "edition": "5th Edition", "authors": "Andrew Zacharakis, William D Bygrave", "cover_image": "https:\/\/dsd5zvtm8ll6.cloudfront.net\/si.question.images\/book_images\/2021\/11\/6192073f58970_0626192073ecba87.jpg", "uri": "\/textbooks\/entrepreneurship-5th-edition-9781119563099", "see_more_uri": "" }, "free_related_book": { "isbn": "B00ANR999S", "uri": "\/textbooks\/applied-mechanics-1st-edition-b00anr999s-134007", "name": "Applied Mechanics", "edition": "1st Edition" }, "question_posted": "2024-06-10 00:09:12", "see_more_questions_link": "\/study-help\/questions\/sciences-biology-2023-February-20", "step_by_step_answer": "The Answer is in the image, click to view ...", "students_also_viewed": [ { "url": "\/a-circular-curve-of-highway-is-designed-for-traffic-moving", "description": "A circular curve of highway is designed for traffic moving at 60 km\/h. 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