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1. Water is being pumped at a rate of 20 ft3 /min into an inverted circular cone with base diameter 20ft and height 15ft. How

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1. Water is being pumped at a rate of 20 ft3 /min into an inverted circular cone with base diameter 20ft and height 15ft. How fast is the height of the water increasing when the water is 10ft high? (Hint: You can use the intercept theorem to relate the height of water inside the cone to the volume of water in the cone.) 2. Find the linearization at In(5) of f(z) =+ve* 1. 3. Find the absolute maximum and absolute minimum of 722 3z _ .3 fz& or flx)==z 1 + 5 on [0,2]

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