Order ID 53563633773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages to Order 5-10 Pages Description/Paper Instructions
Calculus
Do the following problems and label correctly. I haven’t been able to create an extra credit assignment. But this assignment says its worth 20 points. If you complete it correctly, you will receive 10 points extra credit. So really the assignment is worth 20/10 points. If you do not complete the assignment, you will NOT receive any extra credit points. You will only receive extra credit if the assignment is complete.Given the function ????(????)=????3−27????+12f(x)=x3−27z+12a. ????′(????)f′(x)
b. Find the critical values of the function ( hint set the f'(x) = 0)
2. Fill in the blanks ( Copy and past, put your answers in a different color)Notation: Second Derivative
For ______________the second derivative of f, provided that it exists, is _______________________
Definition: ConcavityThe graph of a function f is concave upward on the interval (a, b) if _________is increasing on (a b) and is concave downward on the interval (a, b) if _________is decreasing on (a, b).
Summary: Concavity
For the interval (a,b), if ________________, then ___________is increasing and the graph of f is concave upward. If __________then _______ is decreasing and the graph of f is concave downward.Theorem: Inflection Point
If ______________is continuous on (a, b) and has an inflection point at _____________then either ___________or _____________ does not exist.
Procedure: Graphing Strategy (first version)
Step 1 Analyze ___________Find the domain and the intercepts
Step 2 Analyze ____________Find the partition numbers for, and the critical values of, ___________ and determine local extrema.
Step 3 Analyze ___________Find the partition numbers for ____________and determine concavity.
Step 4 Sketch the graph of the function f.
3. Fill in the blanks ( Copy and past, put your answers in a different color)
Definition: Absolute Maxima and MinimaIf _________________for all x in the domain of f, then ________is called the absolute maximum.
If _________________for all x in the domain of f, then ________is called the absolute minimum.Theorems:
1. A function f that is continuous on a closed interval [a, b] has both an absolute __________ and an ____________ minimum on that interval.
2. Absolute ______________ (if they exist) must always occur at critical values or at endpoints.
3. Second Derivative Test
Let f be continuous on an interval I with only one critical value c in I.If __________ and __________then ______________ is the absolute minimum of f on I.
If ___________ and __________ then _____________ is the absolute maximum of f on I.Procedure: Finding absolute extrema on closed intervals
1. Check to make certain that f is _)______________________ over [a, b].
2. Find the ______________ values in the interval (a, b).
3. Evaluate f at the ________________ a and b and at the critical values found in step 2.
4. The absolute _______________ is the largest value found in step 3.
5. The absolute _______________ is the smallest value found in step 3.
4. What are the formulas and properties on indefinite integrals for C and k both a constant. PLease reference Chapter 5.1. This is an extension of Theorem 1 found in chapter 5
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5. Fill in the Blanks or write the formulas:Formulas: General Indefinite Integral Formulas for Integration by substitution. Can be found in Chapter 5.2 in your textbook
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f.
Fill in the blanks of the Definition: DifferentialsIf ___________defines a differentiable function, then:
1. The_____________________of the independent variable x is an arbitrary real number.
2. The ______________________ of the dependent variable y is defined as the product of _______and
dx: ___________________Procedure: Integration by Substitution
a. Select a _____________ that appears to simplify the integrand. In particular, try to select u so the ________ is a factor in the integrand.
b. Express the integrand entirely in terms of _____and ______, completely ________________ the original variable and its differential.
c. __________________ the new integral if possible.
d. Express the ________________ found in step 3 in terms of the original variable.
6. What is the Theorem for the Area between two curves:
7. What is the formula for Integration by parts and what are the 5 steps?
RUBRIC
QUALITY OF RESPONSE NO RESPONSE POOR / UNSATISFACTORY SATISFACTORY GOOD EXCELLENT Content (worth a maximum of 50% of the total points) Zero points: Student failed to submit the final paper. 20 points out of 50: The essay illustrates poor understanding of the relevant material by failing to address or incorrectly addressing the relevant content; failing to identify or inaccurately explaining/defining key concepts/ideas; ignoring or incorrectly explaining key points/claims and the reasoning behind them; and/or incorrectly or inappropriately using terminology; and elements of the response are lacking. 30 points out of 50: The essay illustrates a rudimentary understanding of the relevant material by mentioning but not full explaining the relevant content; identifying some of the key concepts/ideas though failing to fully or accurately explain many of them; using terminology, though sometimes inaccurately or inappropriately; and/or incorporating some key claims/points but failing to explain the reasoning behind them or doing so inaccurately. Elements of the required response may also be lacking. 40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete. 50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing. Use of Sources (worth a maximum of 20% of the total points). Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper. 5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6th Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper. 10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6th Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources. 15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6th Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources. 20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6th Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment. Grammar (worth maximum of 20% of total points) Zero points: Student failed to submit the final paper. 5 points out of 20: The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors 10 points out 20: The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors 15 points out of 20: The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage. 20 points: The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free. Structure of the Paper (worth 10% of total points) Zero points: Student failed to submit the final paper. 3 points out of 10: Student needs to develop better formatting skills. The paper omits significant structural elements required for and APA 6th edition paper. Formatting of the paper has major flaws. The paper does not conform to APA 6th edition requirements whatsoever. 5 points out of 10: Appearance of final paper demonstrates the student’s limited ability to format the paper. There are significant errors in formatting and/or the total omission of major components of an APA 6th edition paper. They can include the omission of the cover page, abstract, and page numbers. Additionally the page has major formatting issues with spacing or paragraph formation. Font size might not conform to size requirements. The student also significantly writes too large or too short of and paper 7 points out of 10: Research paper presents an above-average use of formatting skills. The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment. 10 points: Student provides a high-caliber, formatted paper. This includes an APA 6th edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper. GET THIS PROJECT NOW BY CLICKING ON THIS LINK TO PLACE THE ORDER
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