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)
________
_______
________
_________
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.