3. [-/4 Points] DETAILS SCALCCC4 3.8.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH (a) The volume V of a growing spherical cell is V =
3. [-/4 Points] DETAILS SCALCCC4 3.8.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH (a) The volume V of a growing spherical cell is V = JAMS, where the radius is measured in micrometers (1 um = 1075m). Find the average rate of change of V with respect to r when / changes from 2 to each of the following. (Round your answers to one decimal place.) (i) 2 to 5 um um3/um ) 2 to 3 um um3/um (iii) 2 to 2.1 um um 3/um (b) Find the instantaneous rate of change of V with respect to / when r = 2 um. (Round your answer to one decimal place.) V'(2) = um3 / um Need Help? Read It Submit Answer 4. [-/6 Points] DETAILS SCALCCC4 3.8.018.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following. V = 4500 (1 - 30 05 ts 50 Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.) (a) 5 min gal/min b) 10 min gal/min c) 20 min gal/min d) 50 min gal/min e) At what time is the water flowing out the fastest? t = min At what time is the water flowing out the slowest? t = min
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