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6. When sugar is dissolved in water, the amount A that remains undissolved after t minutes...
2 The mass M in grams of undissolved sugar left in a teacup after t seconds is given by M = 10.5 - 0.4ť . a) When w...
2 The mass M in grams of undissolved sugar left in a teacup after t seconds is given by M = 10.5 - 0.4ť . a) When will all the sugar dissolve? (2 marks) Find the average rate of change in the interval 0 ts1. (1 mark) b) Draw on graphing paper a graph of M with respect to t and use the secant method to approximate the instantaneous rate of change at t 2 seconds. (3 marks) c)
2...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 4 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank dy 4y/250-3.5t) dt (b) Write this equation in the correct form for using the method of separation of...
(1 point) A tank holds 280 gallons of water than contains 35 pounds of dissolved salt....
(1 point) A tank holds 280 gallons of water than contains 35 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 2 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank. dy dt = (b) Write this equation in the correct form for using the method of separation of...
b. MgCl, is dissolved in distilled water at 25°C until the saturated solution is obtained (system...
b. MgCl, is dissolved in distilled water at 25°C until the saturated solution is obtained (system reaches equilibrium). The concentration of Mg2 in the saturated solution is 1.35 x 10-'M. The dissolution of MgCl, in distilled water is endothermic. Write the balanced chemical equation to obtain the saturated solution Calculate the solubility product, K of MgCl2. Explain the effect of increasing the temperature on the amount of MgCl, Justify your answer. C. When solid Pbl, is added to pure water...
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has...
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 36 grams. Write an exponential equation f(t) representing this situation. (Let f be the amount of radioactive substance in grams and t be the time in minutes.) f(t) 250e 0.0087t x To the nearest minute, what is the half-life of this substance? 89 min Use the model for continuous exponential decay, y = Ao e-kt, where y is the amount of radioactive...
4. The amount of sugar in a solution is given by m(t) = 250+ pe" 120...
4. The amount of sugar in a solution is given by m(t) = 250+ pe" 120 i. If the initial amount is 300g and after 5 minutes it is 275g, find the values of p and k ii. Find the time when the amount is 260g iii. Find the value of m as t+ and sketch the graph of m vs t
1) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solutio...
please solve all three questions, will upvote thank you
1) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solution containing 4 pounds of salt per gallon is pumped into the tank at the rate of 6 gallons per minute. The mixture is stirred well and is pumped out of the tank at the same rate. Let A(t) represent the amount of salt in the tank at time t a) Write down...
These are differential equation problems. Pease show clear and legible work. A 100 gallon tank is filled with a sa...
These are differential equation problems. Pease show clear and
legible work.
A 100 gallon tank is filled with a salt solution containing 10 lbs of salt. Pure water is pumped in at a rate of 5 gallons per minute and pumped out at the same rate. How many minutes will it take the amount of salt to drop to 2 lbs? Round to one decimal place. A 200 gallon tank initially has 100 gallons of a salt solution that contains...
A tank contains 100L of water. A solution with a salt concentration of 0.6kg/L is added...
A tank contains 100L of water. A solution with a salt concentration of 0.6kg/L is added at a rate of 7L/min. The solution is kept thoroughly mixed and is drained from the tank at a rate of 5L/min. Answer the following questions. 1. If is the amount of salt (in kilograms) after t minutes, what is the differential equation for which y is satisfied? Use the variable y for y(t). Answer (in kilograms per minute): dy/dt = 4.2-(5y/100+2t) 2. How...
(1 point) A tank contains 6 gallons of water to start 9 gations of water flow...
(1 point) A tank contains 6 gallons of water to start 9 gations of water flow into the tank while 10 gallons of water flow out of the tank per minute Write a differential for the amount of water A n gallons) in the tank at time in minutes N 6 A(0) = 6 Solve the differential equation A(t) = Note use A n stead of A), Ay) in your answers After you set up your differential ion you will...
2 The mass M in grams of undissolved sugar left in a teacup after t seconds is given by M = 10.5 - 0.4ť . a) When will all the sugar dissolve? (2 marks) Find the average rate of change in the interval 0 ts1. (1 mark) b) Draw on graphing paper a graph of M with respect to t and use the secant method to approximate the instantaneous rate of change at t 2 seconds. (3 marks) c)
2...
(1 point) A tank holds 250 gallons of water than contains 50 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 4 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank dy 4y/250-3.5t) dt (b) Write this equation in the correct form for using the method of separation of...
(1 point) A tank holds 280 gallons of water than contains 35 pounds of dissolved salt. Pure water is flowing into the tank at the rate of 1/2 gal/min while the solution flows out of the tank at the rate of 2 gal/min. (a) Write down a differential equation describing this situation. Use y for the amount of salt in the tank. dy dt = (b) Write this equation in the correct form for using the method of separation of...
b. MgCl, is dissolved in distilled water at 25°C until the saturated solution is obtained (system reaches equilibrium). The concentration of Mg2 in the saturated solution is 1.35 x 10-'M. The dissolution of MgCl, in distilled water is endothermic. Write the balanced chemical equation to obtain the saturated solution Calculate the solubility product, K of MgCl2. Explain the effect of increasing the temperature on the amount of MgCl, Justify your answer. C. When solid Pbl, is added to pure water...
A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 36 grams. Write an exponential equation f(t) representing this situation. (Let f be the amount of radioactive substance in grams and t be the time in minutes.) f(t) 250e 0.0087t x To the nearest minute, what is the half-life of this substance? 89 min Use the model for continuous exponential decay, y = Ao e-kt, where y is the amount of radioactive...
4. The amount of sugar in a solution is given by m(t) = 250+ pe" 120 i. If the initial amount is 300g and after 5 minutes it is 275g, find the values of p and k ii. Find the time when the amount is 260g iii. Find the value of m as t+ and sketch the graph of m vs t
please solve all three questions, will upvote thank you
1) A tank contains 200 gallons of water in which 50 pounds of salt are dissolved. A brine solution containing 4 pounds of salt per gallon is pumped into the tank at the rate of 6 gallons per minute. The mixture is stirred well and is pumped out of the tank at the same rate. Let A(t) represent the amount of salt in the tank at time t a) Write down...
These are differential equation problems. Pease show clear and
legible work.
A 100 gallon tank is filled with a salt solution containing 10 lbs of salt. Pure water is pumped in at a rate of 5 gallons per minute and pumped out at the same rate. How many minutes will it take the amount of salt to drop to 2 lbs? Round to one decimal place. A 200 gallon tank initially has 100 gallons of a salt solution that contains...
A tank contains 100L of water. A solution with a salt concentration of 0.6kg/L is added at a rate of 7L/min. The solution is kept thoroughly mixed and is drained from the tank at a rate of 5L/min. Answer the following questions. 1. If is the amount of salt (in kilograms) after t minutes, what is the differential equation for which y is satisfied? Use the variable y for y(t). Answer (in kilograms per minute): dy/dt = 4.2-(5y/100+2t) 2. How...
(1 point) A tank contains 6 gallons of water to start 9 gations of water flow into the tank while 10 gallons of water flow out of the tank per minute Write a differential for the amount of water A n gallons) in the tank at time in minutes N 6 A(0) = 6 Solve the differential equation A(t) = Note use A n stead of A), Ay) in your answers After you set up your differential ion you will...
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