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elementary calculus

EXERCISE 1: Say the Domain of the following functions (20 points)

a)

b) y=

EXERCISE 2: Calculate the following limits (20 points)

EXERCISE 3: Calculate the first derivative of the following functions (20 points)

a)

b)

c)

d)

EXERCISE 4: Find the following integrations (20 points)

a.

b.

c.

d.

EXERCISE 5: (20 points)

Draw and find the area generated by:

– The functions , and g(x) = – 4x + 8

– Between the points where they intercept.

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.