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Google Keyword Rankings for : maxima minima problems cylinder
1
https://www.youtube.com/watch?v=nbclHE0ho_I
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https://www.youtube.com/watch?v=nbclHE0ho_I
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2
https://www.youtube.com/watch?v=UGtwyTd0Fok
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https://www.youtube.com/watch?v=UGtwyTd0Fok
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3
https://www.youtube.com/watch?v=cnpLGJyDeu8
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https://www.youtube.com/watch?v=cnpLGJyDeu8
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4
https://mathalino.com/reviewer/differential-calculus/29-31-solved-problems-in-maxima-and-minima
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https://mathalino.com/reviewer/differential-calculus/29-31-solved-problems-in-maxima-and-minima
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5
https://www.wyzant.com/resources/answers/870314/applications-of-maxima-and-minima-problems
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https://www.wyzant.com/resources/answers/870314/applications-of-maxima-and-minima-problems
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6
https://openstax.org/books/calculus-volume-3/pages/4-7-maxima-minima-problems
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https://openstax.org/books/calculus-volume-3/pages/4-7-maxima-minima-problems
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7
https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/maxmindirectory/MaxMin.html
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https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/maxmindirectory/MaxMin.html
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8
https://www.studysmarter.us/explanations/math/calculus/maxima-and-minima/
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https://www.studysmarter.us/explanations/math/calculus/maxima-and-minima/
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9
https://www.toppr.com/ask/en-us/question/find-the-maximum-volume-of-the-cylinder-which-can-be/
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https://www.toppr.com/ask/en-us/question/find-the-maximum-volume-of-the-cylinder-which-can-be/
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10
https://www.sccollege.edu/Departments/MATH/Documents/Math%20180/04-07-032_Optimization_Problems.pdf
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https://www.sccollege.edu/Departments/MATH/Documents/Math%20180/04-07-032_Optimization_Problems.pdf
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11
https://byjus.com/jee/maxima-and-minima-in-calculus/
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https://byjus.com/jee/maxima-and-minima-in-calculus/
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12
http://www.math.utep.edu/faculty/tuesdayj/math2301/2301Ch12Sec2.pdf
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http://www.math.utep.edu/faculty/tuesdayj/math2301/2301Ch12Sec2.pdf
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13
https://www.nuffieldfoundation.org/sites/default/files/files/FSMA%20Maxima%20and%20minima%20student.pdf
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https://www.nuffieldfoundation.org/sites/default/files/files/FSMA%20Maxima%20and%20minima%20student.pdf
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14
https://www.brightstorm.com/math/calculus/applications-of-the-derivative/optimization-using-the-second-derivative-test-problem-2/
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https://www.brightstorm.com/math/calculus/applications-of-the-derivative/optimization-using-the-second-derivative-test-problem-2/
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15
https://math.stackexchange.com/questions/674688/maxima-and-minima-problem
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https://math.stackexchange.com/questions/674688/maxima-and-minima-problem
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16
https://schoolbag.info/mathematics/barrons_ap_calculus/38.html
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https://schoolbag.info/mathematics/barrons_ap_calculus/38.html
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17
https://brownmath.com/calc/optimiz.htm
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https://brownmath.com/calc/optimiz.htm
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18
https://www.whitman.edu/mathematics/calculus_online/section06.01.html
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https://www.whitman.edu/mathematics/calculus_online/section06.01.html
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19
https://www.matheno.com/calculus-1/optimization/least-expensive-open-topped-can/
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https://www.matheno.com/calculus-1/optimization/least-expensive-open-topped-can/
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20
https://www.embibe.com/questions/Prove-that-the-total-surface-area-of-right-circular-cylinder%2C-open-at-one-end%2C-with-a-given-volume-is-minimum-when-the-height-of-the-cylinder-is-same-as-the-radius-of-its-base./EM7582051
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https://www.embibe.com/questions/Prove-that-the-total-surface-area-of-right-circular-cylinder%2C-open-at-one-end%2C-with-a-given-volume-is-minimum-when-the-height-of-the-cylinder-is-same-as-the-radius-of-its-base./EM7582051
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21
https://www.numerade.com/ask/question/solve-the-following-maxima-and-minima-problems-a-silo-consists-of-a-right-circular-cylinder-surmounted-by-a-right-circular-cone-cover-what-is-the-maximum-volume-of-this-silo-that-can-be-cons-82904/
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https://www.numerade.com/ask/question/solve-the-following-maxima-and-minima-problems-a-silo-consists-of-a-right-circular-cylinder-surmounted-by-a-right-circular-cone-cover-what-is-the-maximum-volume-of-this-silo-that-can-be-cons-82904/
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22
http://www.opentextbookstore.com/calc/3_5.pdf
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http://www.opentextbookstore.com/calc/3_5.pdf
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23
https://www.vedantu.com/question-answer/a-right-cylinder-is-inscribed-in-a-sphere-of-class-11-maths-cbse-60094294ae05980992f8f071
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https://www.vedantu.com/question-answer/a-right-cylinder-is-inscribed-in-a-sphere-of-class-11-maths-cbse-60094294ae05980992f8f071
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24
https://calculusmadeeasy.org/11.html
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https://calculusmadeeasy.org/11.html
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25
https://pdfslide.net/documents/maxima-and-minima-problemsdocx.html
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https://pdfslide.net/documents/maxima-and-minima-problemsdocx.html
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26
https://www.bartleby.com/questions-and-answers/olve-the-following-maxima-and-minima-problems-a-silo-consists-of-a-right-circular-cylinder-sormounte/74882623-cfee-457f-b1c6-ded35bf970a0
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https://www.bartleby.com/questions-and-answers/olve-the-following-maxima-and-minima-problems-a-silo-consists-of-a-right-circular-cylinder-sormounte/74882623-cfee-457f-b1c6-ded35bf970a0
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27
https://math.libretexts.org/Courses/Mount_Royal_University/MATH_3200%3A_Mathematical_Methods/6%3A__Differentiation_of_Functions_of_Several_Variables/6.7%3A_Maxima%2F%2FMinima_Problems
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https://math.libretexts.org/Courses/Mount_Royal_University/MATH_3200%3A_Mathematical_Methods/6%3A__Differentiation_of_Functions_of_Several_Variables/6.7%3A_Maxima%2F%2FMinima_Problems
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28
https://madasmaths.com/archive/maths_booklets/basic_topics/calculus/differentiation_optimization_problems.pdf
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https://madasmaths.com/archive/maths_booklets/basic_topics/calculus/differentiation_optimization_problems.pdf
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29
https://www.nagwa.com/en/videos/187181202902/
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https://www.nagwa.com/en/videos/187181202902/
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30
https://www.sfu.ca/~vjungic/Zbornik2020/sec_Optimization.html
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https://www.sfu.ca/~vjungic/Zbornik2020/sec_Optimization.html
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31
https://amsi.org.au/ESA_Senior_Years/SeniorTopic3/3c/3c_2content_3.html
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https://amsi.org.au/ESA_Senior_Years/SeniorTopic3/3c/3c_2content_3.html
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32
https://www.maa.org/book/export/html/117626
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https://www.maa.org/book/export/html/117626
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33
https://s3-us-west-2.amazonaws.com/oa2/docfiles/3d43edec-1ed1-4be9-812a-bc65f1eefbb5/3d43edec-1ed1-4be9-812a-bc65f1eefbb5.pdf
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34
https://socratic.org/questions/what-height-h-and-base-radius-r-will-maximize-the-volume-of-the-cylinder-if-the-
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https://socratic.org/questions/what-height-h-and-base-radius-r-will-maximize-the-volume-of-the-cylinder-if-the-
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35
https://www.themathpage.com/aCalc/applied.htm
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https://www.themathpage.com/aCalc/applied.htm
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36
https://www.geogebra.org/m/JJMEWFWu
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https://www.geogebra.org/m/JJMEWFWu
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37
https://www.freemathhelp.com/forum/threads/differentiation-in-a-max-min-tin-can-problem.61705/
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https://www.freemathhelp.com/forum/threads/differentiation-in-a-max-min-tin-can-problem.61705/
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38
https://homework.study.com/explanation/calculate-the-height-of-a-cylinder-of-maximum-volume-that-can-be-cut-from-a-cone-of-height-20-cm-and-base-radius-80-cm.html
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https://homework.study.com/explanation/calculate-the-height-of-a-cylinder-of-maximum-volume-that-can-be-cut-from-a-cone-of-height-20-cm-and-base-radius-80-cm.html
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39
https://tutorial.math.lamar.edu/classes/calci/optimization.aspx
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https://tutorial.math.lamar.edu/classes/calci/optimization.aspx
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40
https://learn.saylor.org/mod/book/view.php?id=37467
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https://learn.saylor.org/mod/book/view.php?id=37467
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41
https://homepage.divms.uiowa.edu/~stroyan/CTLC3rdEd/3rdCTLCText/Chapters/Ch11.pdf
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https://homepage.divms.uiowa.edu/~stroyan/CTLC3rdEd/3rdCTLCText/Chapters/Ch11.pdf
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42
https://pinoybix.org/2016/08/find-the-minimum-amount-of-tin-sheet-that-can-be-made-into-close-cylinder-01.html
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https://pinoybix.org/2016/08/find-the-minimum-amount-of-tin-sheet-that-can-be-made-into-close-cylinder-01.html
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43
https://faculty.ncc.edu/Portals/254/Lesson6.pdf
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https://faculty.ncc.edu/Portals/254/Lesson6.pdf
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44
https://www.geeksforgeeks.org/class-12-rd-sharma-solutions-chapter-18-maxima-and-minima-exercise-18-5-set-2/
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https://www.geeksforgeeks.org/class-12-rd-sharma-solutions-chapter-18-maxima-and-minima-exercise-18-5-set-2/
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45
https://www.quora.com/How-do-you-find-the-lowest-possible-surface-area-for-a-cylinder-with-a-volume-of-1000-cm-3
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https://www.quora.com/How-do-you-find-the-lowest-possible-surface-area-for-a-cylinder-with-a-volume-of-1000-cm-3
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46
https://mathhelpforum.com/threads/applications-of-maxima-minima-inscribed-cylinder.11504/
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https://mathhelpforum.com/threads/applications-of-maxima-minima-inscribed-cylinder.11504/
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47
https://www.dummies.com/article/academics-the-arts/math/calculus/how-to-use-differentiation-to-calculate-the-maximum-volume-of-a-box-192226/
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48
https://www.algebra.com/algebra/homework/playground/test.faq.question.1045810.html
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https://www.algebra.com/algebra/homework/playground/test.faq.question.1045810.html
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49
https://www.coursehero.com/file/12669797/20-Maxima-Minima-Problem/
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https://www.coursehero.com/file/12669797/20-Maxima-Minima-Problem/
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50
http://www.vias.org/calculus/03_continuous_functions_06_04.html
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http://www.vias.org/calculus/03_continuous_functions_06_04.html
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51
https://www.studocu.com/en-us/document/temple-university/basic-concepts-of-math/2019-ma-maxima-and-minima-worksheet-hsc-questions-w-solutions/20353296
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https://www.studocu.com/en-us/document/temple-university/basic-concepts-of-math/2019-ma-maxima-and-minima-worksheet-hsc-questions-w-solutions/20353296
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52
http://derivative-functions.cours-de-math.eu/advanced-math-english15.php
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http://derivative-functions.cours-de-math.eu/advanced-math-english15.php
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53
https://revisionmaths.com/advanced-level-maths-revision/pure-maths/calculus/uses-differentiation
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https://revisionmaths.com/advanced-level-maths-revision/pure-maths/calculus/uses-differentiation
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54
https://web.pdx.edu/~erdman/CALCULUS/CALCULUS_pdf.pdf
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https://web.pdx.edu/~erdman/CALCULUS/CALCULUS_pdf.pdf
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55
https://people.math.wisc.edu/~angenent/Free-Lecture-Notes/free221.pdf
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https://people.math.wisc.edu/~angenent/Free-Lecture-Notes/free221.pdf
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56
https://www.jstor.org/stable/20490678
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https://www.jstor.org/stable/20490678
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57
https://faculty.ung.edu/jallagan/Courses%20materials/Math%201450%20Calculus%201/Syllabus%20and%20ebook/problems%20and%20solutions%20for%20calculus%201.pdf
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https://faculty.ung.edu/jallagan/Courses%20materials/Math%201450%20Calculus%201/Syllabus%20and%20ebook/problems%20and%20solutions%20for%20calculus%201.pdf
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58
https://staffordhs.ss8.sharpschool.com/common/pages/UserFile.aspx?fileId=43305032
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59
https://www.topperlearning.com/answer/using-maxima-minima-in-particular-for-solving-questions-related-to-cones-cylinders-etc-inscribed-in-a-sphere-how-must-a-substitution-be-made-to-get-th/stn9wptt
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https://www.topperlearning.com/answer/using-maxima-minima-in-particular-for-solving-questions-related-to-cones-cylinders-etc-inscribed-in-a-sphere-how-must-a-substitution-be-made-to-get-th/stn9wptt
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60
https://www.math.drexel.edu/classes/math121/201015/index_files/Math_121_Fall_2010_Final_Exam_Solutions.pdf
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https://www.math.drexel.edu/classes/math121/201015/index_files/Math_121_Fall_2010_Final_Exam_Solutions.pdf
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61
https://tutoring.asu.edu/sites/default/files/optimization.pdf
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https://tutoring.asu.edu/sites/default/files/optimization.pdf
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62
https://www.tamdistrict.org/cms/lib8/CA01000875/Centricity/Domain/377/Optimization%20WS.pdf
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https://www.tamdistrict.org/cms/lib8/CA01000875/Centricity/Domain/377/Optimization%20WS.pdf
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63
https://boredofstudies.org/threads/maximum-minima-problems.356533/
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https://boredofstudies.org/threads/maximum-minima-problems.356533/
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64
https://www.qub.ac.uk/directorates/media/Media,531093,en.pdf
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https://www.qub.ac.uk/directorates/media/Media,531093,en.pdf
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65
https://www.doubtnut.com/question-answer/show-that-the-height-of-a-cylinder-of-given-total-surface-area-and-open-at-the-top-has-maximum-volum-234811776
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https://www.doubtnut.com/question-answer/show-that-the-height-of-a-cylinder-of-given-total-surface-area-and-open-at-the-top-has-maximum-volum-234811776
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66
https://www.math.columbia.edu/~snshah/HW12SolnS18.pdf
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https://www.math.columbia.edu/~snshah/HW12SolnS18.pdf
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67
https://www.chegg.com/homework-help/questions-and-answers/6-vertical-cylinder-leaking-water-rate-1-cubic-foot-per-second-cylinder-height-10-ft-radiu-q50774313
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68
https://dlscrib.com/download/maxima-and-minima_58e45e85dc0d60533cda97e0_pdf
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https://dlscrib.com/download/maxima-and-minima_58e45e85dc0d60533cda97e0_pdf
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69
https://testbook.com/question-answer/a-cylindrical-jar-without-a-lid-has-to-be-construc--5eea0a2060d6600d077cd788
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https://testbook.com/question-answer/a-cylindrical-jar-without-a-lid-has-to-be-construc--5eea0a2060d6600d077cd788
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70
http://johnsonsclasses.pbworks.com/w/file/fetch/101139334/optimizing_volume_sa_cylinders_handout.pdf
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http://johnsonsclasses.pbworks.com/w/file/fetch/101139334/optimizing_volume_sa_cylinders_handout.pdf
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71
https://ocw.mit.edu/courses/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/resources/lecture-8-maxima-and-minima/
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72
https://www.slideshare.net/nsimmons/11x1-t09-06-maxima-minima
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https://www.slideshare.net/nsimmons/11x1-t09-06-maxima-minima
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73
https://www.tsfx.edu.au/resources/N1%20-%20AMSI%20-%20AppsDiff3c.pdf
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https://www.tsfx.edu.au/resources/N1%20-%20AMSI%20-%20AppsDiff3c.pdf
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74
https://users.math.msu.edu/users/ovenhou3/teaching/mth132/ss15/lec/solns/3.7.pdf
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https://users.math.msu.edu/users/ovenhou3/teaching/mth132/ss15/lec/solns/3.7.pdf
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75
https://slideplayer.com/slide/8408059/
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https://slideplayer.com/slide/8408059/
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76
https://ibelitetutor.com/blog/maxima-and-minima-problems/
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https://ibelitetutor.com/blog/maxima-and-minima-problems/
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77
http://www.mim.ac.mw/books/3,000%20Solved%20Problems%20in%20Calculus.pdf
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http://www.mim.ac.mw/books/3,000%20Solved%20Problems%20in%20Calculus.pdf
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78
https://brainly.in/textbook-solutions/q-aligned-height-cylinder-maximum-volume-inscribed-sphere
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https://brainly.in/textbook-solutions/q-aligned-height-cylinder-maximum-volume-inscribed-sphere
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79
https://ncert.nic.in/textbook/pdf/lemh106.pdf
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https://ncert.nic.in/textbook/pdf/lemh106.pdf
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80
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