chapter3(6) - MATH1010: Chapter 3 cont 1 DIFFERENTIATION...

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MATH1010: Chapter 3 cont… 1 DIFFERENTIATION RULES cont… Related Rates (Section 3.10 of Stewart, pg. 256) cont… Recall: Last day, we looked at several related rates applications. Example: The combined electrical resistance R of R 1 and R 2 , connected in parallel, is given by 2 1 1 1 1 R R R + = If R 1 and R 2 are increasing at rates of 1 and 1.5 ohms/s respectively, at what rate is R changing when 50 1 = R ohms and 75 2 = R ohms? [Source: Calculus: Early Transcendental Functions ”, 4 th ed. by Larson, Hostetler, Edwards, 2007] Example: An airplane is flying on a flight path that will take it directly over a radar tracking station. If the distance between the plane and the tracking station is decreasing at a rate of 400 mph when the straight-line distance between the plane and the tracking station is 10 miles, what is the speed of the plane? [Source: Calculus: Early Transcendental Functions ”, 4 th ed. by Larson, Hostetler, Edwards, 2007]
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MATH1010: Chapter 3 cont… 2
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chapter3(6) - MATH1010: Chapter 3 cont 1 DIFFERENTIATION...

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