Math 2b Midterm # 1 Sample Exam Worksheet - University Of California, Irvine (Uc Irvine) Page 4

4.) a.) Complete the blanks in the following statement of the Fundamental Theorem of Calculus.

Fundamental Theorem of Calculus:

Suppose

is continuous on

, then

________________.

______________________, where

is any antiderivative of .

b.) Use the Fundamental Theorem of Calculus to evaluate the following.

c.) Answer each of the following questions. No work or explanations are needed.

i.) If

is measured in dollars per year and in years, what are the units of

______________________

ii.) True or False: All continuous functions have derivatives.

______________________

iii.) True or False: All continuous functions have antiderivatives.

______________________

iv.) Below is the graph of a function

. Let

Find each of the following:

______

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