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BCO116 ELEMENTARY CALCULUS Task brief & rubrics Portfolio of Exercises 1

Task

Students are required to develop an individual report addressing the specific tasks set out in the guideline below.

Task briefing:

EXERCISE 1: Say the Domain of the following functions (25 points, 5 points each)

a) 𝑦 = 6𝑥5 − 4𝑥3 + 83

b) 𝑦 = √5 − 𝑥

c) y= 43𝑥2+7

2𝑥√𝑥

d) y= √4𝑥2 − 5 3

e) y= 60𝑥4−16𝑥

𝑥2−4

EXERCISE 2: The Trusted Genuine Masters company produces forged paintings for sale at well-known auction houses. The company estimates that its demand equation is

q =−25p+5,000 paintings sold per month when priced at p Euros each. It has monthly fixed costs of €400 and variable costs of €10 per painting.

a. Find the company's monthly revenue, cost, and profit as functions of p, the price per painting. (25 points) b. Draw the graphs of revenue and cost functions and determine the equilibrium price. How many paintings would be sold at the equilibrium

price? (25 points)

EXERCISE 3: Calculate the following limits (25 points, 5 points each)

𝑎) lim x→∞

4𝑥2+4

2𝑥2−2

𝑑) lim x→∞

x + 4

𝑥2 − 44

𝑒) lim x→∞

𝑥2 + 4

4x − 44

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: 15th 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: - Understand what a function is and interpret its applications in business. - Recognize, classify, and compare functions represented in a variety of ways, including graphical, numerical, analytical, or verbal in the business world. - Describe the limits of functions from their graphs and/or formulas. - Understand and locate the concepts of limits 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 vocabulary in an entirely appropriate manner.

10

If the student computes the correct result 15

2a 25% If the student uses the right formulas 10

If the student computes the correct result 15

2b 25% If the student draws the right graphs 15

If the student computes the correct result 10

3 25% If the student demonstrates excellent understanding of key concepts of limits and uses vocabulary in an entirely appropriate manner.

10

If the student computes the correct result 15