1. Assume that Achilles' speed as 200 times as fast as the tortoise's and that this animal 20000 meters. Suppose also that Achilles runs 200 m in 1 minute. a) Use limits to compute, if possible, the distance that Achilles will travel to catch b) How long will it take for Achilles to reach the tortoise?
1. Assume that Achilles' speed as 200 times as fast as the tortoise's and that this animal 20000 meters. Suppose also that Achilles runs 200 m in 1 minute. a) Use limits to compute, if possible, the distance that Achilles will travel to catch b) How long will it take for Achilles to reach the tortoise?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Assume that Achilles' speed as 200 times as fast as the tortoise's and that this animal has been given a head start of
20000 meters. Suppose also that Achilles runs 200 m in 1 minute.
a) Use limits to compute, if possible, the distance that Achilles will travel to catch the tortoise.
b) How long will it take for Achilles to reach the tortoise?
2. Use Fermat's method to find the general sub-tangent and tangent to the curve whose equation is f(x) = -3x² - 4x +5. (7 points)
3. Use Newton's method to find the slope of the tangent to the curve defined as y=-5x² + 2x-7. (5 points)
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