Posted on: 17th Nov 2023
Math Assignment, NTU, Singapore: Use the intermediate value theorem and the mean value theorem to show that the graphs
| University | Nanyang Technological University (NTU) |
1. Use the intermediate value theorem and the mean value theorem to show that the graphs of y = cosz and y = 7x + 2 intersect exactly once.
2. The tip of the minute hand on a watch is 12 mm from the center,
whereas the tip of the hour hand is 6 mm from the center. How fast
is the distance between the tips of the two hands changing at 3 p.m.?
Give your answers in mm/hour, rounded to 2 decimal places.
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