1. Find the function that gives the area under the curve f(t) = 3t² above the t-axis, between t = 0 and t = x, x > 0.
2. What does the Fundamental Theorem of Calculus say about the relationship between the area function you found in Question 1 and the function f(t) = 3t²?
3. Use the following graph to sketch a graph of the corresponding area function
   
   

4. Evaluate the derivative and support your answer with your calculator.
5. Evaluate the definite integral and support your answer with your calculator.

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