预备微积分 · 免费预览

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.

进入交互式练习

免费注册 · 即时批改 · 自动安排间隔复习。

免费开始这门课