If a tank holds 3500 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 V=3500(1-(1/50)t)^2       0 ≤ t ≤ 50. Find the rate (in gal/min) 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.)   t=5 minutes t=10 minutes t=20 minutes

Q: 1. A 10 ft ladder is leaning a gainst a wall. If the top of the ladder slides down the wall at a…

A: We have to find the rate at which the bottom of ladder is sliding down when the length of the ladder…

Q: Boyle's law says that the product of a gas's pressure, P (atm), and volume, V (m'), is constant.…

A:

Q: Water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours after…

A: Given, water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours…

Q: The length of a rectangular box is increasing at 3 in/sec, while its width is decreasing at 4…

A: Differentiate volume of rectangular box wrt t

Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.1 cm/min. At what is…

A: The diameter of the snowball is decreasing at a rate of 0.1 cm/min. So, the decreasing rate of…

Q: A right triangle originally has a base length of 1 cm and a height of 4 cm. At time ?=0t=0 minutes,…

A: