Humanities Research Paper This is a research paper project about a topic of our choice. The student should employ the research, texts material and discussions in class. The topic I have chosen was: R



SAMPLE TEST NAME_________________
(200 points Total)
Math 5A
Professor O. LePoint


Instructions:

Print out . Complete all the questions correctly for a max of 40 extra credit points.

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QUESTION 1: Define the following

Definition of limit



Definition of Continuity





Definition of derivative

Mean Value Theorem (and draw a diagram).

Fundamental Theorem of Calculus


QUESTION 2: (10 points)




Humanities Research Paper This is a research paper project about a topic of our choice. The student should employ the research, texts material and discussions in class. The topic I have chosen was: R 1



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Is continuous at x=2 Mathematically explain why or why not below:


QUESTION 3:

a) Evaluate:

b) Evaluate:



QUESTION 4:

Use the definition of derivative to find the derivative of

F(x) = 3x2 -5x


QUESTION 5:

Consider the following graphs of the functions f and g below . Beside each, sketch the graphs of f’(x) and g’(x) respectively. Consider finding the derivative at 3-5 distinctive (x,y) points.