onsequenn is then found I., Ic-rting ξ (33) lhe escape velocity of the escape velocity neglects the effect of air resistance, so the including the effect of air resistance) is somewhat higher. On the other 6.9 mils, or 11.1 km/s The numerical value of , is approximately The preceding calculation of the escape ve tance above sea level before being launched. Both gravitational and frictional ereby reduced; air resistance, in particular, diminishes quite rapidly with increasing eep in mind also that it may well be impractical to impart too large an instantaneously; space vehicles, for instance, receive their initial acceleration pe velocity can be significantly reduced if the body is transported considerable dis forces are th initial velocity during a period of a few minutes. PROBLEMS Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 L/min, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye inthe tank reaches 1% of its original value. 2. A tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression in terms of y for the amount of salt in the tank at any time t. Also find the limiting amount of salt in the tank as t-oo 3. A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. F salt in the tank at the end of an additional 10 min. mou 4. A tank with a capacity of 500 gal originally contains 200 gal of w lb al th in solution. Water containing 1 lb of salt per gallon entering a the mixture is allowed to flow out of the tank of salt in the tank at any time prior to the in Find the concentration (in pounds per gall of overflowing. Compare this concentrati the tank had infinite capacity th he 5. A tank contains 100 gal of water and S
onsequenn is then found I., Ic-rting ξ (33) lhe escape velocity of the escape velocity neglects the effect of air resistance, so the including the effect of air resistance) is somewhat higher. On the other 6.9 mils, or 11.1 km/s The numerical value of , is approximately The preceding calculation of the escape ve tance above sea level before being launched. Both gravitational and frictional ereby reduced; air resistance, in particular, diminishes quite rapidly with increasing eep in mind also that it may well be impractical to impart too large an instantaneously; space vehicles, for instance, receive their initial acceleration pe velocity can be significantly reduced if the body is transported considerable dis forces are th initial velocity during a period of a few minutes. PROBLEMS Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 L/min, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye inthe tank reaches 1% of its original value. 2. A tank initially contains 120 L of pure water. A mixture containing a concentration of γ g/L of salt enters the tank at a rate of 2 L/min, and the well-stirred mixture leaves the tank at the same rate. Find an expression in terms of y for the amount of salt in the tank at any time t. Also find the limiting amount of salt in the tank as t-oo 3. A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. F salt in the tank at the end of an additional 10 min. mou 4. A tank with a capacity of 500 gal originally contains 200 gal of w lb al th in solution. Water containing 1 lb of salt per gallon entering a the mixture is allowed to flow out of the tank of salt in the tank at any time prior to the in Find the concentration (in pounds per gall of overflowing. Compare this concentrati the tank had infinite capacity th he 5. A tank contains 100 gal of water and S
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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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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