There are four planets in a square arrangement with right angles. These planets can be labeled...
Question:
There are four planets in a square arrangement with right angles. These planets can be labeled 1,2,3,4. At one instant from planet 2, a probe is 900 ft away from the planet 2(between 2 and 3) but then starts heading towards planet 3 in a straight line at 205 ft per sec. At that same exact time, a probe is 730 ft away from planet3(between 3 and 4) and heading towards planet 4 in a straight line at 182 ft per second. The distance between each planet closest to each other is 900 ft. How fast is the distance between the two probes changing after 2 seconds? assume all conditions are the same as on earth(this question is not supposed to be complicated)
Related Rates:
This problem provides us with a couple rates, then tasks us with finding another. Such problems are called, rather uncreatively, related rates problems. The key to solving them lies in the chain rule for differentiation; to relate the rates we first relate the variables, then differentiate each side with respect to time {eq}t {/eq}.
Answer and Explanation: 1
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Related Rates in Calculus | Problems, Formulas & Uses
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Discover what related rates in calculus are, their uses, and their importance. Know its formula and learn how to solve them through the given examples.
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