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Need some help with these problems.Thanks in advance!! 1. Use the following table of values for the number of gallons, V(t) , of oil that

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Need some help with these problems.Thanks in advance!!

image text in transcribed
1. Use the following table of values for the number of gallons, V(t) , of oil that remain in a 55-gallon oil barrel, t hours after a forklift operator dropped the container onto the loading dock and pierced a hole in the container. t 1 2 3 3.5 5 6 8 V (t) 55 54.6 52.8 49.6 42.1 40.8 38.4 37.9 A. Estimate V'(2.5). Explain the meaning in context to the problem. B. For what interval of time is the oil leaking the fastest? Estimate the instantaneous rate of change, for this time. 2. You may use a calculator for this question. Make sure to use correct units! Celeste takes a daily diabetes drug to maintain the levels of sugar in her bloodstream. The amount of medication, in milligrams, present in her bloodstream after t hours is measured by m(t) = 22e-084. Find the rate of change of the remaining medication after 3 hours

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