Applied Mathematics 1413 Chapter 4.1: Applied Mathematics 1413 Chapter 4.: 4.1 Related Rates

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At a certain time, the length of a rectangle is 16m and the width is 12m. The width is increasing at a rate of 3 m/s. A leaking water tank in the shape of an inverted right circular cone with a depth oh 5m and a top radius of 2m is losing water. When the water in the tank is 4m deep it is leaking out at a rate of 1/12. A critical point of a function is a number , in the domain of , such that either or that does not exist. Largest value in 1 or 2 is abs max, lowest value in 1 or 2 is abs min. To find the absolute max and min of a continuous functions on a closed interval: Find the value of @ all critical points. Find the value of @ each end point. If is countinous on and if and then:

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