Oil is leaking from a tank. For 0 < t < 24, the number of gallons G in the tank at time t is given by G(t) = 9,000 - 3t2, where t is measured in hours past midnight. (a) Use the definition of the derivative to find G'(6). G'(6) = (b) Interpret the meaning of G'(6) in the context of this problem. Indicate the units of measure. Between 6:00 a.m. and 7:00 a.m. exactly G'(6) gallons of oil will leak from the tank. At 6:00 a.m. the oil is leaking from the tank at a rate of G'(6) hours per gallon. At 6:00 a.m. G'(6) gallons of oil are left in the tank. At 6:00 a.m. G'(6) gallons of oil have leaked from the tank. At 6:00 a.m. the oil is leaking from the tank at a rate of G'(6) gallons per hour.

Oil is leaking from a tank. For 0 < t < 24, the number of gallons G in the tank at time t is given by G(t) = 9,000 - 3t2, where t is measured in hours past midnight. (a) Use the definition of the derivative to find G'(6). G'(6) = (b) Interpret the meaning of G'(6) in the context of this problem. Indicate the units of measure. Between 6:00 a.m. and 7:00 a.m. exactly G'(6) gallons of oil will leak from the tank. At 6:00 a.m. the oil is leaking from the tank at a rate of G'(6) hours per gallon. At 6:00 a.m. G'(6) gallons of oil are left in the tank. At 6:00 a.m. G'(6) gallons of oil have leaked from the tank. At 6:00 a.m. the oil is leaking from the tank at a rate of G'(6) gallons per hour.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...

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