05 Dec BCO116 ELEMENTARY CALCULUS Task brief & rubrics Portfolio of Exercises 2
BCO116 ELEMENTARY CALCULUS Task brief & rubrics Portfolio of Exercises 2
Task
Students are required to develop an individual report addressing the specific tasks set out in the guideline below.
Task briefing:
EXERCISE 1: Calculate the first derivative of the following functions and say the rule used in each case (25 points, 5 points each)
a)
b)
c) ? = 3?5 · sin (?)
d) ? = 4?4 + 4
? + 4? + √x + 4
e)
EXERCISE 2:
Given the following function: ? = ?? − ??
? + ?
a) Find the extreme points, and prove which ones of them are MAXIMA and MINIMA (15 points) b) Find the inflection points of the function (10 points) c) Draw the graph of the function (10 points)
EXERCISE 3:
Suppose that the revenues function of a certain product in function of the thousands of units sold yearly (x) is: R(x) = 5×2 -15x + 8 And the function of costs is: C(x) = x3 – 20×2 + 12x -1
a) What is the function of profits? (10 points) b) Is there a production level that maximizes profit? If so, what are the points of maximum profit? (10 points) c) What should be the sales that give the largest yearly revenue? (10 points) d) What should be the sales that give the minimum yearly cost? (10 points)
? = ? ?
Formalities:
• Word document.
• Wordcount: 500 words.
• Cover, Table of Contents, References and Appendix are excluded of the total wordcount.
• Font: Arial 12,5 pts.
• Text alignment: Justified.
• The in-text References and the Bibliography have to be in Harvard’s citation style.
Submission:
Week 2 – Via Moodle (Turnitin).
Deadline: 22nd November 2020 at 23:59 CEST.
Weight: This task is a 33% of your total grade for this subject.
It assesses the following learning outcomes.
On successful completion of this course, students will be able to: – Interpret the derivatives of functions. – Describe the notions of differentiability to algebraic functions. – Understand and locate the concepts of derivatives within the business context to illustrate problems involving functions and interpret the results in that
context.
Rubrics.
Question Weight Criteria Grade Boundaries (points per question)
1 25% If the student demonstrates excellent understanding of key concepts and uses derivative methods in an entirely appropriate manner.
15
If the student computes the correct result 10
2 35% If the student demonstrates excellent understanding of key concepts and uses derivative methods in an entirely appropriate manner.
20
If the student computes the correct result 15
3 40% If the student uses the right formulas 10
If the student demonstrates excellent understanding of key concepts and uses derivative methods in an entirely appropriate manner.
20
If the student computes the correct result 10
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteEdu. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
Do you need help with this question?
Get assignment help from WriteEdu.com Paper Writing Website and forget about your problems.
WriteEdu provides custom & cheap essay writing 100% original, plagiarism free essays, assignments & dissertations.
With an exceptional team of professional academic experts in a wide range of subjects, we can guarantee you an unrivaled quality of custom-written papers.
Chat with us today! We are always waiting to answer all your questions.