DiffCalcSecondPartialReview
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This document appears to be a collection of math problems and questions about limits, functions, and physics. It includes questions about continuity, types of discontinuities, evaluating limits, finding velocity given a position function, evaluating expressions involving functions, and determining the truth of statements involving functions and limits. The document covers a wide range of topics but does not provide full context, answers, or explanations for any individual problem.
DiffCalcSecondPartialReview
- 1. Second Partial Review. Is f(x) continuous at the given point? Which condition fails? What type of discontinuity is it? , at x = 1.
- 2. Find the following limit.
- 3. Find the following limit.
- 4. Find the following limit.
- 5. True or False: If a function is defined at x = a, then it is continuous at that point.
- 8. When a ball is dropped from a height of 256 feet, the distance it travels in t 2 seconds is given by s = 16 t . Find the velocity at t = 2 seconds.
- 9. True or False: If f(x) = x2 and g(x) = x -2, then f(x) - g(x) = x2 - x - 2.
- 10. Find the following limit.
- 11. Find the following limit.
- 12. Suppose that a ball is thrown straight upward so that its height f(x) (in feet) is given by the equation f(x) = 96 + 64x - 16x2, where x is time (in seconds). Find the instantaneous velocity at x = 1.