Evaluate the following definite integral:   

Extra Credit – Bonus! Suppose the f and g are both continuous and integrable functions on . Furthermore, say that we know that for all , .  We say that the “fractional part” of x, denoted by , is the real or non-integer part of x belonging to . Also, we have that for all x. For example, , and so on. Now suppose that we want an expression for the following integral that does not involve the function f: . If we set , enter two exact (integer) expressions for the numerator and denominator of I: Numerator of I=[num]  Denominator of I=[denom]

Suppose that we want to evaluate the following integral:    Answer the following questions: Which u-sub to we choose first? u=[u] What are the corresponding lower and upper limits of integration after the u-sub? [ua] and [ub] Which of the following methods do we use to evaluate the resulting integral after the substitution (type a capital single letter)? [M2] Integration by substitution Fundamental theorem of calculus Trigonometric substitution Partial fractions Integration by parts

4.2 Name each factor of production and their compensation. (4)      

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As jou PDF – leêr te groot is kan jy die laaste gedeelte hier oplaai. Laai jou antwoord as EEN PDF – leêr op. Maak seker jou PDF – leêr is as volg benoem:  NaamVan  WISK GR9Aklas SBA04a  Vraestel 1.  

Handig jou EEN PDF – leêr hier in.   Maak seker dat jy dit korrek benoem:  NaamVan WISK Gr9Aklas SBA04a  Vraestel 1.

TOTAL OF QUESTION 4 [20]

5.1.5 Delivering products on time is important to Janine.  Give FIVE guidelines she and her workers can follow to ensure they will always deliver on time.  (5)