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沿圆运动(续)
一个沿圆周运动的点如何自然地产生一个函数?
1. The average rate of change of a circular function
The average rate of change of a circular function
2. Summary
Summary
3. Four successive average rates
A weight's average rates on four consecutive quarter-second intervals are about 7.652, 6.492, 4.332 and 1.524 inches per second. What does the sequence show?
4. Longest decreasing and concave-up intervals
A periodic height function peaks at t = 3, 7, 11 and bottoms at t = 5, 9, 13. Which statement identifies a longest decreasing interval and a concave-up interval?
5. Reading direction and speed from shape
A height function is decreasing and concave up. How is the object moving?
6. Heights at a shifted distance
On the circle centered at (2, 2) with circumference 8, what is the exact x-coordinate of the leftmost point P0?
7. Reading parameters from an oscillation graph
A height graph has maximum 11 and minimum 3. What are its amplitude and midline, and what radius and center height produced it?
8. Steepest negative average rate
A weight's distance from the wall has steepest negative quarter-second rates near the midline. What is the average rate on [4, 4.25] to three decimals if it equals -4.772 inches per second?
9. A decreasing concave-up stretch means slowing toward the wall
Where a height function is decreasing and concave up, the object moves toward the wall and slows down.