Calculus Concepts Explaine

Exploring calculus concepts such as antiderivatives, areas under a function, average values, continuity, and definite integrals. Dive into the importance of continuity for computing derivatives and integrals, along with practical examples and exercises based on graphical representations.

• Calculus
• Antiderivatives
• Definite Integrals
• Continuity
• Concepts

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Uploaded on Apr 19, 2025 | 0 Views

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1. ?? ? ?? is ? A. An antiderivative of f(t) B. An area under f(t) C. An average value of f(t) D. Both A and B E. Both A and C F. None of the above 0% 0% 0% 0% 0% 0% Both A and B Both A and C None of the above An area under f(t) An average value of f(t) An antiderivative of f(t)

2. ?? ? ?? is 1 ? ? ? A. An antiderivative of f(t) B. An area under f(t) C. An average value of f(t) D. Both A and B E. Both A and C F. None of the above 0% 0% 0% 0% 0% 0% Both A and B Both A and C None of the above An area under f(t) An average value of f(t) An antiderivative of f(t)

3. The derivative of a function can not be computed at a point if the function is not continuous at that point. A. True B. False 0% 0% True False

4. Definite integrals can only be computed if the function is continuous. A. True B. False 0% 0% True False

5. If f(t) is given by the graph to the right, compute 0 3? ? ?? Rank Responses 1 2 3 4 5 6 0% 0% 0% 0% 0% 0% 1 2 3 4 5 6

6. If f(t) is given by the graph to the right, compute 3 0? ? ?? Rank Responses 1 2 3 4 5 6 0% 0% 0% 0% 0% 0% 1 2 3 4 5 6

7. If f(t) is given by the graph to the right, compute 3 1? ? ?? Rank Responses 1 2 3 4 5 6 0% 0% 0% 0% 0% 0% 1 2 3 4 5 6