{"id":35150,"date":"2024-10-16T23:55:16","date_gmt":"2024-10-16T23:55:16","guid":{"rendered":"https:\/\/www.writemyessays.app\/blog\/questions\/comparing-grow-rates-of-exponential-and-logarithmic-functions-and-their-applications-in-engineering\/"},"modified":"2024-10-16T23:55:16","modified_gmt":"2024-10-16T23:55:16","slug":"comparing-grow-rates-of-exponential-and-logarithmic-functions-and-their-applications-in-engineering","status":"publish","type":"questions","link":"https:\/\/www.writemyessays.app\/blog\/questions\/comparing-grow-rates-of-exponential-and-logarithmic-functions-and-their-applications-in-engineering\/","title":{"rendered":"Comparing Grow Rates of Exponential and Logarithmic Functions and Their Applications in Engineering"},"content":{"rendered":"<p><span style=\"font-size: 19px; cursor: auto; color: inherit;\">Work through the problem:&nbsp;<\/span>&nbsp;<\/p>\n<div><\/div>\n<div>&nbsp;<br \/>\n<i style=\"font-size: 19px; cursor: auto; color: inherit;\">You are designing a juice container that has the shape of a right circular cylinder ( see image and formulas attached). The container is supposed to hold 6 cubic inches juice. Find the dimensions that will use a minimum amount of construction material.<\/i><\/div>\n<div><i style=\"font-size: 19px; cursor: auto; color: inherit;\"><\/p>\n<p style=\"margin: 0.5em 0px 1em; cursor: auto; color: inherit;\">1. (<strong style=\"font-weight: bold; cursor: auto; color: inherit;\">Representation of Evidence, Organize<\/strong><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>) Analyze the problem. From the information provided, what can you say about the volume of this juice box? Can you find a relationship between the variables r and h?&nbsp;<\/p>\n<p style=\"margin: 0.5em 0px 1em; cursor: auto; color: inherit;\">2. (<strong style=\"font-weight: bold; cursor: auto; color: inherit;\">Define or Interpret the Problem<\/strong><span style=\"cursor: auto; color: inherit;\">&nbsp;<\/span>) What are you asked to minimize? Formulate the problem (use derivatives). Explain your formulation.<\/p>\n<p style=\"margin: 0.5em 0px 1em; cursor: auto; color: inherit;\">3 (<strong style=\"font-weight: bold; cursor: auto; color: inherit;\">Calculation<\/strong>) Perform the necessary calculation on equation(s) in step 2 to find the minimum dimensions.<\/p>\n<p style=\"margin: 0.5em 0px 1em; cursor: auto; color: inherit;\">4. (<strong style=\"font-weight: bold; cursor: auto; color: inherit;\">Communication<\/strong>) Summarize your results.<\/p>\n<p><\/i><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Work through the problem:&nbsp;&nbsp; &nbsp; You are designing a juice container that has the shape of a right circular cylinder ( see image and formulas attached). The container is supposed to hold 6 cubic inches juice. Find the dimensions that will use a minimum amount of construction material. 1. (Representation of Evidence, Organize&nbsp;) Analyze the [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[122],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions\/35150"}],"collection":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/comments?post=35150"}],"version-history":[{"count":0,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions\/35150\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/media?parent=35150"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/disciplines?post=35150"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/paper_types?post=35150"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/tagged?post=35150"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}