Problem2:

(1 point) For this problem A is the amount of salt in the tank. If a tank contains 350 liters of liquid with 12 grams of salt. A mixture containing 12 grams per liter is pumped into the tank at a rate of 3 liters/minute. The mixture is well-mixed, and pumped out at a rate of 4 liters/minute. The amount of salt in the tank satisfies the differential equation. (dA, dt, dT, d, T', d', A' are not defined in this context!)

? = 0

Rewriting this as a linear differential equation we get

? = 36

Problem:

(1 point) A liquid at temperature 90F is placed in an oven at temperature 375. The temperature of the liquid increases at a rate 3 times the difference between the temperature of the liquid and that of the oven. Write a differential equation for the temperature T(t) of the liquid.

? = 0

Note: use T,T', etc instead of T(t), T'(t) in your answers. After you set up your differential equation you will have to set it equal to zero so that WeBWorK will understand your answer, do this in a way so that the highest order derivative has a positive coefficient.

Problem:

The knowledge that a civilization can amass in a year is proportional to the knowledge it currently posses. If K(t) is the knowledge that a certain civilization possesses at time t, this civilization can add 10% to its knowledge each year, and this civilization possesses 10000 volumes of knowledge at time 0, write an initial volume problem for the amount of knowledge the civilization possesses:

? = 0

Problem:

(1 point) Using k as the growth constant and P for population write down the Malthusian model for population growth ? = 0

Please pay attention to the yellow boxes: d, dA, DT, dt, d', T', A' are not defined in these contexts! Cooling and Mixing: Problem 2 Previous Problem Problem List Nest Problem Results for this submission Entered (DAG)[2A7(175))-36 (DAY()(2AY(175) Answer Preview Result incorrect correct Message A is not defined in this content A' is not defined in this content 3150-31386-1021751 3150 - 3138 correct At least one of the answers above is NOT correct (1 point) For this problem is the amount of salt in the tank If a tank contains 350 iters of liquid with 12 grams of sat mature containing 12 grams per Her is pumped into the tank at a rate of 3 mersmule. The mature is wel moved and pumped out at a rate of 4 liters minuteThe amount of salt in the tank satisfies the differential equation dP 175 0 Rewriting this as a near differential equation we get 24 175 -36 + Previous Problem Problem List Next Problem Results for this submission Entered Answer Preview Result T*3'T-1025 T +3T-1025 ince 90 90 correct At least one of the answers above is NOT correct (1 point) A liquid at temperature DOF is placed in an oven at temperature 375. The temperature of the increases at a rate 3 times the difference between the temperature of the quand that of the oven. Write a differential equation for the temperature () of the quid T3T-1025 0 Previous Problem Problem Ust Next Problem Results for this submission Answer Preview Result Entered derivetive-1.1) Message deriveter is not defined in this context 10000 10000 correct At least one of the answers above is NOT correct (1 point) The knowledge that a civilization can amass in a year is proportional to the knowledge is currently posses. If (t) is the knowledge that a certain citation possesses at time this ization can add 10% to its knowledge each year, and this civilization possesses 10000 volumes of knowledge at time 0, write an initial volume problem for the amount of knowledge the citization possesses derivative - 1.16() 0 Previous Problem Problem List Next Problem Results for this submission Answer Preview Entered (DAYA Result incorrect Message SA is not defined in this contest In(2) Inc correct Al least one of the answers above is NOT correct (1 point) For this problem A is the variable for the amount of radioactive material, kis growth constant and assumed to be positive) The amount of radioactive material decreases at a rate proportional to the amount present Write a differential equation to model the situation Differential equation 0 Cooling and Mixing: Problem 2 Previous Problem Nest Problem Problem List Results for this submission Answer Preview Result incorect Entered (di dt)) ((2A)(175) - ((DAY())((2AY (175)) Message A is not defined in this context A is not defined in this con incorrect 3150-3138"-12"171751 3150 - 3138 correct At least one of the answers above is NOT correct (1 point) For this problem A is the amount of salt in the tank if a tank contains 350 ters of liquid with 12 grams of sat. A mature containing 12 grams per fer is pumped into the tank at a rate of 3 iter minute The modure is well-moved and pumped out at a rate of 4 iters/minule The amount of sat in the tank satisfies the differential equation 4 24 300 115 Rearing this as a linear differential equation we get 21 36 175 dr Previous Problem Problem List Next Problem Results for this submission Entered Answer Preview Result T +3T - 1025 incorrect T3'T. 1005 90 come Alleast one of the answers above is NOT Correct 11 point) Algud at temperature 90F is placed in an oven at temperature 375. The temperature of the quid increases at a rate 3 times the difference between the temperature of the lquid and that of the oven write a differential equation for the temperature of the quid T-ST-1025 0 Previous Problem Problem List Next Problem Results for this submission Answer Preview Result incorrect Message derivetve' is not defined in this context Entered derivetive-1.10 10000 correct 10000 At least one of the answers above is NOT correct (1 point) The knowledge that a civilization can amass in a year is proportional to the knowledge is currently posses. It is the knowledge that a certan ization possesses at time this civilization can add 10% to its knowledge each year, and this civilization possesses 10000 volumes of knowledge at time write an initial volume problem for the amount of knowledge the clation possesses derivative-114 Previous Problem Problem List Next Problem results for this submission Answer Preview Result Entered (DAY())KA Message dA' is not defined in this context incorrect in(2) In(2) k correct least one of the answers above is NOT correct (1 point) For this problem A is the variable for the amount of radioactive material is growth constant and assumed to be positive) The amount of radioactive material decreases at a rate proportional to the amount present. Write a differential equation to model the situation Differential equation 0 dr Please pay attention to the yellow boxes: d, dA, DT, dt, d', T', A' are not defined in these contexts! Cooling and Mixing: Problem 2 Previous Problem Problem List Nest Problem Results for this submission Entered (DAG)[2A7(175))-36 (DAY()(2AY(175) Answer Preview Result incorrect correct Message A is not defined in this content A' is not defined in this content 3150-31386-1021751 3150 - 3138 correct At least one of the answers above is NOT correct (1 point) For this problem is the amount of salt in the tank If a tank contains 350 iters of liquid with 12 grams of sat mature containing 12 grams per Her is pumped into the tank at a rate of 3 mersmule. The mature is wel moved and pumped out at a rate of 4 liters minuteThe amount of salt in the tank satisfies the differential equation dP 175 0 Rewriting this as a near differential equation we get 24 175 -36 + Previous Problem Problem List Next Problem Results for this submission Entered Answer Preview Result T*3'T-1025 T +3T-1025 ince 90 90 correct At least one of the answers above is NOT correct (1 point) A liquid at temperature DOF is placed in an oven at temperature 375. The temperature of the increases at a rate 3 times the difference between the temperature of the quand that of the oven. Write a differential equation for the temperature () of the quid T3T-1025 0 Previous Problem Problem Ust Next Problem Results for this submission Answer Preview Result Entered derivetive-1.1) Message deriveter is not defined in this context 10000 10000 correct At least one of the answers above is NOT correct (1 point) The knowledge that a civilization can amass in a year is proportional to the knowledge is currently posses. If (t) is the knowledge that a certain citation possesses at time this ization can add 10% to its knowledge each year, and this civilization possesses 10000 volumes of knowledge at time 0, write an initial volume problem for the amount of knowledge the citization possesses derivative - 1.16() 0 Previous Problem Problem List Next Problem Results for this submission Answer Preview Entered (DAYA Result incorrect Message SA is not defined in this contest In(2) Inc correct Al least one of the answers above is NOT correct (1 point) For this problem A is the variable for the amount of radioactive material, kis growth constant and assumed to be positive) The amount of radioactive material decreases at a rate proportional to the amount present Write a differential equation to model the situation Differential equation 0 Cooling and Mixing: Problem 2 Previous Problem Nest Problem Problem List Results for this submission Answer Preview Result incorect Entered (di dt)) ((2A)(175) - ((DAY())((2AY (175)) Message A is not defined in this context A is not defined in this con incorrect 3150-3138"-12"171751 3150 - 3138 correct At least one of the answers above is NOT correct (1 point) For this problem A is the amount of salt in the tank if a tank contains 350 ters of liquid with 12 grams of sat. A mature containing 12 grams per fer is pumped into the tank at a rate of 3 iter minute The modure is well-moved and pumped out at a rate of 4 iters/minule The amount of sat in the tank satisfies the differential equation 4 24 300 115 Rearing this as a linear differential equation we get 21 36 175 dr Previous Problem Problem List Next Problem Results for this submission Entered Answer Preview Result T +3T - 1025 incorrect T3'T. 1005 90 come Alleast one of the answers above is NOT Correct 11 point) Algud at temperature 90F is placed in an oven at temperature 375. The temperature of the quid increases at a rate 3 times the difference between the temperature of the lquid and that of the oven write a differential equation for the temperature of the quid T-ST-1025 0 Previous Problem Problem List Next Problem Results for this submission Answer Preview Result incorrect Message derivetve' is not defined in this context Entered derivetive-1.10 10000 correct 10000 At least one of the answers above is NOT correct (1 point) The knowledge that a civilization can amass in a year is proportional to the knowledge is currently posses. It is the knowledge that a certan ization possesses at time this civilization can add 10% to its knowledge each year, and this civilization possesses 10000 volumes of knowledge at time write an initial volume problem for the amount of knowledge the clation possesses derivative-114 Previous Problem Problem List Next Problem results for this submission Answer Preview Result Entered (DAY())KA Message dA' is not defined in this context incorrect in(2) In(2) k correct least one of the answers above is NOT correct (1 point) For this problem A is the variable for the amount of radioactive material is growth constant and assumed to be positive) The amount of radioactive material decreases at a rate proportional to the amount present. Write a differential equation to model the situation Differential equation 0 dr