calculus multi-part question and need a sample draft to help me learn.

hello I have provided everything required below please make sure you explain each step in order for me to understand the solving process.
feel free to text me if you need anything
I have also attached a rubric for 3.1 in order for it to be done according to it.
Requirements: as long as needed
2023-01-28, 8:11 PMThe History of Logarithms Mid-Unit AssignmentPage 1 of 2https://lms.virtualhighschool.com/content/vhs3/departments/mat/coÉd2lSessionVal=z3BQLQyTNnxTJbiBg7S5cQCvk&ou=64580&d2l_body_type=3The History of Logarithms Mid-Unit AssignmentCriteria100%Level 4Level 3Level 2Written skills(punctuationand engagingßow of ideas)andparaphrasing(text written inown wordsusing the ideasfrom sources)Excellent;fulÞlledcriterionrequirementsfully.Written text ishighly polished andengaging. Ideasare paraphrasedeffectively.Written text ismostly polishedand engaging.Ideas areparaphrasedappropriately.Written text is a bitrough and at timesdisconnected.Some ideas are notparaphrased.Role Choice(mentionedexplicitly),Sources (atleast 2 reliable,qualitysources), andAPA stylecitation (in-textcitation andreference pagecompletenessand format)Excellent;fulÞlledcriterionrequirementsfully.Role mentionedexplicitly, and atleast 2 reliable andeffective sourcescited using correctcitation format.Role mentionedexplicitly, and atleast 2 reliablesources used,mostly followingcorrect citationformat.Role not mentionedexplicitly, and atleast 1 fairlyreliable sourceused, followingsome of the citationformat structure.Use ofVocabulary,Excellent;fulÞlledConcepts/examplesare expressedConcepts/examplesare expressedConcepts/examplesare expressed
2023-01-28, 8:11 PMThe History of Logarithms Mid-Unit AssignmentPage 2 of 2https://lms.virtualhighschool.com/content/vhs3/departments/mat/cÉd2lSessionVal=z3BQLQyTNnxTJbiBg7S5cQCvk&ou=64580&d2l_body_type=3Symbols, andMathematicalNotation inDescribingLogarithms andDemonstratingHow TheyWorkcriterionrequirementsfully.effectively usingappropriatenotation, symbols,vocabulary, andconventions.using mostlyappropriatenotation, symbols,vocabulary, andconventions.using with someinconsistencieswith notation,symbols,vocabulary, andconventions.OverallOrganization ofSolutionDocument(logicalsequence/order,ßow of ideas,and legible/tidywriting andvisual aids), andformat (Length,Use of Visuals,Colours, Fonts,allimages/graphstogether withreport andreference pagein a single PDFÞle)Excellent;fulÞlledcriterionrequirementsfully.Very smooth andnaturalorganization, andhighly effectiveformat and visualuse.Solution documentis mostly organizedand submitted inappropriate format.Some ideas,questions, orsolutions are notwell connected orout of place, and/orsomewhat poorformat and use ofvisuals.
2023-01-28, 8:13 PMAssessment – MHF4U n1+, Advanced Functions, 12, University – Virtual High SchoolPage 1 of 4https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/quÉ=1335032&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1Question 1 (8 points)Question 2 (4 points) Simplify the following, using only positive exponents. Do not evaluate. For the following function, state:InstructionsYou can either copy and paste these questions into a word document, or use the “Print Assignment”button to print a hard copy for yourself. Then complete these assignment questions by hand, or in yourword processor, and upload your full solutions to the Dropbox.Print Assignmenta) 42×4−3b) 737−2×78c) (a3b−1)2×(a−1b4)−2d) (x2yz3)(x−1y2z)×(xyz)3!Listen”#\$!Listen”#\$
2023-01-28, 8:13 PMAssessment – MHF4U n1+, Advanced Functions, 12, University – Virtual High SchoolPage 2 of 4https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/quÉ=1335032&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1Question 3 (4 points)Question 4 (8 points)i. the domain and rangeii. the y-intercept andiii. the horizontal asymptote . Rewrite the following exponential functions as logarithmic functions, and thelogarithmic functions as exponential functions:f(x)=−(14)x−3The population of a small town is growing at a rate of 5% per year. If thepopulation right now is 22 000, What will the population be 10 years fromnow?!Listen”#\$!Listen”#\$
2023-01-28, 8:13 PMAssessment – MHF4U n1+, Advanced Functions, 12, University – Virtual High SchoolPage 3 of 4https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/quÉ=1335032&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1Question 5 (6 points)Question 6 (12 points) Solve for all possible values of x within the domain of the following logarithmicexpressions. In the following exponential relations, solve for x using logarithms. Round youranswers to 4 decimal places.a) f(x)=9xb) f(x)=(78)xc) f(x)=log12xd) f(x)=log59xa) log4(log2x)=1b) 3(log2x)=9!Listen”#\$!Listen”#\$
2023-01-28, 8:13 PMAssessment – MHF4U n1+, Advanced Functions, 12, University – Virtual High SchoolPage 4 of 4https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/quÉ=1335032&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1Question 7 (8 points) .a) 7x=24b) 4x+2=48c) 33x=35d) 24x+1=100In a particular factory, the ambient noise has a loudness of 100 dB. Ifprolonged exposure to a loudness of 85 dB can cause permanent damage,how much more intense is the factory than the damage threshold?Submitting Your AssignmentThis is the end of your assignment. After completing all of the questions, upload your work to theappropriate dropbox.Print Assignment!Listen”#\$
2023-01-28, 8:12 PMAssessment – MHF4U n1+, Advanced Functions, 12, University – Virtual High SchoolPage 1 of 5https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/quÉ=1335030&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1Question 1 (1 point) The Engineer:As an engineer, you will focus on finding information about how logarithms wereused to solve problems at the time it was invented. Also, consider how similarproblems were solved before logarithms were created. Consider:What tools were needed to complete calculations before the invention of logarithms?What tools were used, or needed, after logarithms were created?How do we use logarithms today that differs from the way they were used when theyInstructionsYou can either copy and paste these questions into a word document, or use the “Print Assignment”button to print a hard copy for yourself. Then complete these assignment questions by hand, or in yourword processor, and upload your full solutions to the Dropbox.Print AssignmentThe Task:You will need to choose one of the following roles in order to complete theassignment. Each role focuses on different aspects of logarithms, and each rolehas different requirements for presenting your work. Read the requirementscarefully and choose the role that best suits your interests.!Listen”#\$
2023-01-28, 8:12 PMAssessment – MHF4U n1+, Advanced Functions, 12, University – Virtual High SchoolPage 2 of 5https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/quÉ=1335030&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1Question 2 (1 point)were invented?How do you use the tools of logarithms to solve problems?If you choose the role of an engineer, you will need to submit a written report (1-3pages double spaced). Your report should include: The Teacher:As a teacher, you will need to think about how you would teach these concepts toothers. Think about areas that might be difficult for students, how will you teach itso that students can understand? Think about creative and interesting ways thatyou can teach and engage student interest.If you choose the role of a teacher, you will need to submit a presentation (eithera) A brief introduction.b) A body that includes the information outlined above, pictures, examples,etc.c) A conclusion.d) Any additional documents that may relate to the report, including sources(at least 2) cited in APA style.!Listen”#\$
2023-01-28, 8:12 PMAssessment – MHF4U n1+, Advanced Functions, 12, University – Virtual High SchoolPage 3 of 5https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/quÉ=1335030&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1Question 3 (1 point)Powerpoint or Prezi – maximum 20 slides). Your presentation should include: The Historian:As a historian you will focus on finding information relating to the history oflogarithms. You will need to consider the Ò5 WÕs and HowÓ:Who invented logarithms?When was it invented?a) An interesting introduction (A “hook”)b) A brief description of who invented logarithms, why they were invented,when it was invented, how they invented it, etc.c) A lesson on how to use logarithms. This may include, but is not limited to,a video, an interactive, an activity, etc.d) A conclusion that wraps up and restates any important ideas that weretaught in the lesson.e) In-text/media citation, and a references page (at least two sources).!Listen”#\$
2023-01-28, 8:12 PMAssessment – MHF4U n1+, Advanced Functions, 12, University – Virtual High SchoolPage 4 of 5https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/quÉ=1335030&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1Why did they invent it?Where did they invent it?How did they invent it?Once you have answered these questions, also consider adding any otherinteresting information that relates to logarithms, or the inventor(s).You may also want to consider other factors from the time period that may havehad an influence on the invention of logarithms. For example, what changes weregoing on that might have required faster or more accurate mathematicalcalculations?If you choose the role of the historian, you will need to submit a formal essay (1 -4 pages double spaced, at least 2 sources). Your essay should include: a) An introductory paragraph that clearly states the topic.b) At least three body paragraphs.c) A concluding paragraph that wraps up the ideas discussed.
2023-01-28, 8:12 PMAssessment – MHF4U n1+, Advanced Functions, 12, University – Virtual High SchoolPage 5 of 5https://lms.virtualhighschool.com/d2l/lms/quizzing/user/attempt/quÉ=1335030&dnb=1&cfql=1&fromQB=0&showIncorrectOnly=1&d2l_body_type=1Submitting Your AssignmentThis is the end of your assignment. After completing all of the questions, upload your work to theappropriate dropbox.Print Assignment