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ion of the stream near the hole reduce the volume of water leaving the tank per second to CA,,√2gh, where m the tank in terms of the height of the water h. erms of the height of the water h and the rate of change of the volume of the water. water h (in ft/s in terms of h) at time t > 0. The radius of the hole is 6 in., g = 32 ft/s2, and the friction/contraction one is of negligible height and volume.)

ion of the stream near the hole reduce the volume of water leaving the tank per second to CA,,√2gh, where m the tank in terms of the height of the water h. erms of the height of the water h and the rate of change of the volume of the water. water h (in ft/s in terms of h) at time t > 0. The radius of the hole is 6 in., g = 32 ft/s2, and the friction/contraction one is of negligible height and volume.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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V = 8 ft When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to CA,,V2gh, where c (0 < c < 1) is an empirical constant. dh dt ft/s3 Find an equation for the volume V (in ft/s³) of water in the tank in terms of the height of the water h. 5 6 20 ft h circular hole h 2 Find the rate of change of the height of the water in terms of the height of the water h and the rate of change of the volume of the water. dh dv dt dt i Determine a differential equation for the height of the water h (in ft/s in terms of h) at time t > 0. The radius of the hole is 6 in., g = 32 ft/s2, and the friction/contraction factor is c = 0.6. (Assume the removed apex of the cone is of negligible height and volume.) X Assignment-Responses/submit?dep=29924786&tags=autosave#q... A o ♥ ft/s
Transcribed Image Text:V = 8 ft When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to CA,,V2gh, where c (0 < c < 1) is an empirical constant. dh dt ft/s3 Find an equation for the volume V (in ft/s³) of water in the tank in terms of the height of the water h. 5 6 20 ft h circular hole h 2 Find the rate of change of the height of the water in terms of the height of the water h and the rate of change of the volume of the water. dh dv dt dt i Determine a differential equation for the height of the water h (in ft/s in terms of h) at time t > 0. The radius of the hole is 6 in., g = 32 ft/s2, and the friction/contraction factor is c = 0.6. (Assume the removed apex of the cone is of negligible height and volume.) X Assignment-Responses/submit?dep=29924786&tags=autosave#q... A o ♥ ft/s
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