It takes time for a tank to drain from the bottom using a valve (8 hours). The depth of the liquid inside the tank (H) is after a time (1 from opening the valve below the tank is found by using the following equation: H = 4(1-5* m. When is the fluid level in the tank falling fastest? Slowest? What are the values of rate of depth in at these times?

A snow ball, in the shape of a sphere, is melting so that its surface area is decreasing at a rate of 7 [cm? /min]. Calculate the rate its diameter is changing when its diameter measures 8 cm. Provide the full working solution for full marks. Equations you may find useful: 4 Volume of sphere 3 Surface area of sphere 4 Tr? Answer:

Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity of the fluid gradually decreases from the center of the pipe toward the edges as a result of friction with the walls of the pipe. For the data shown, v (x) is the velocity of the fluid (in cm/sec) and X represents the distance (in cm) from the center of the pipe toward the edge. 1 5 8 9 2 3 4 6 7 v (x) 195.9 195.2 194.2 192.7 190.8 188.4 185.6 182.3 178.6 174.5 Part: 0/ 4 Part 1 of 4 (a) The pipe is 10 m long (1000 cm). Determine how long it will take fluid to run the length of the pipe through the center of the pipe. Round to 1 decimal place. It will take fluid approximately 5.104 sec to run the length of the pipe through the center of the pipe. Part: 1/4 Part 2 of 4 (b) Determine how long it will take fluid at a point 9 cm from the center of the pipe to run the length of the pipe. Round to 1 decimal place. It will take fluid approximately sec to run the length of the pipe at a point 9…

Q2: In the two-tank mixing process shown in Fig.(2), x varies from 0 lb salt/ft³ to 1 lb salt/ft³ according to a step function. At what time does the salt concentration in tank 2 reach 0.6 lb salt/ft³? The volume of each tank is 6 ft³. 3ft/min 777 Tank 1 Fig.(2) Tank 2