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4. [0.25/0.31 Points] DETAILS MY NOTES SCOLALG7 2.1.079.MI. 6/100 Submissions Used PREVIOUS ANSWERS ASK YOUR TEACHER A tank holds 60 gal of water, which drains
4. [0.25/0.31 Points] DETAILS MY NOTES SCOLALG7 2.1.079.MI. 6/100 Submissions Used PREVIOUS ANSWERS ASK YOUR TEACHER A tank holds 60 gal of water, which drains from a leak at the bottom, causing the tank to empty in 32 min. The tank drains faster when it is nearly full because the pressure on the leak is greater. Toricelli's Law gives the volume of water remaining in the tank after t minutes as V(t ) = 60 (1 - Osts 32 . (a) Find V(0) and V(32). V(0) = gal V(32) = gal (b) What do your answers to part (a) represent? O V(0) represents the initial volume, and V(32) represents the final volume. O V(32) represents the initial volume, and V(0) represents the final volume. O V(0) represents the initial rate at which the water is leaking, and V(32) represents the rate at which it is leaking when 32 gallons have drained. O V(32) represents the the time when the tank is empty, and V(0) represents the time when it is full. O V(0) represents the time when the tank is empty, and V(32) represents the time when it is full. (c) Make a table of values of V(t) for t = 0, 8, 16, 24, 32. (Round your answer to three decimal places.) t (in minutes) V(t) (in gallons) 0 8 16 24 (d) Find the net change in the volume V as t changes from 0 min to 32 min. gal Need Help? Read It Watch It Master It Submit
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