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9. I'll. A tank contains 20 pounds of salt dissolved in El] gallons of water. Three gallons of brine containing 2 1b, of dissolved salt per gallon run into the tank every minute. The oontents of the tank are continually stirred, and the mixture runs out of the tank at a rate of 2 gall}r min. a] Create a 3 X 4- table. The top row should consist of a blank box followed by the headings Initial, Rate In, and Rate Gut. Below the blank box in the topleft corner, write Salt [5'] and Weber [W]. Fill in the remaining boxes using the information provided above. b] Express the rate of change of the amount of salts as a differential equation. c] Find the amount of salt in the tank at any time t. d] How much salt is in the tank at the end of one hour? Accordingto WLaw, the rate ofliquid ow from an orice is equal to 511?de = 4.3Am. where h is the height [in feet] of the liquid above the orice, AD is the area of the orice, V is the volume of the liquid, and t represents elapsed time [in seconds]. If a cylindrical tank with height 9 ft and base radius 4- ft is lled with a liquid that is draining through a small circular hole {radius 1 in.] in its base, how many minutes does it take for the tank to empty? a] Draw the tank. include its measurements. b] Use the fact that the hole has a radius of 1 inch to solve forAD in square feet. c] Find an expression for diff-it from the formula for the volume of a cylinder. d] Find an expression for diff-it from Toricelli's law. e] Set these two dedt expressions equal to each other. t] Solve for h in terms of t. g] Plug in the initial values to solve for E. h] Figure out whatvalue of t causes it to equal zero and convert to minutes