Integration question: Fluid flows into a tank for 10 minutes. The tank is initially empty. After...

Integration question: Fluid flows into a tank for 10 minutes. The tank is initially empty. After t minutes, fluid flows in at a rate of 1 + t/2 litres per minute. How much fluid, in litres, flows into the tank?

Expert Solution

milcah answered 2 years ago

A tank initially contains 10 liters of clean water (with no salt in it). Every minute,...

A tank initially contains 10 liters of clean water (with no salt in it). Every minute, a solution containing one liter of water and one gram of salt is added to the tank, and two liters of fluid are drained from the tank. The fluid in the tank is mixed continuously so that the salt is distributed evenly throughout the water in the tank. How many minutes does it take for the tank to contain 2 grams of salt?

A) A 50 gallon tank initially contains 10 gallons of fresh water. At t = 0...

A) A 50 gallon tank initially contains 10 gallons of fresh water. At t = 0 t = 0 a brine solution containing 1 pound of salt per gallon is poured into the tank at the rate of 4 gal/min., while the well-stirred mixture leaves the tank at the rate of 1 gal/min. Find the amount of salt in the tank at the moment of overflow. B) A tank contains 100100 g of salt and 400400 L of water. Water...

(1 point) The count in a bacteria culture was 600 after 10 minutes and 11613 after...

(1 point) The count in a bacteria culture was 600 after 10 minutes and 11613 after 20 minutes. Assume the growth can be modelled exponentially by a function of the form Q(t)=AertQ(t)=Aert, where tt is in minutes. (a) Find the relative growth rate, with at least the first 5 digits after the decimal point entered correctly: r=r= equation editor Equation Editor (b) What was the initial size of the culture? Round your answer to the closest integer. equation editor Equation...

point) The count in a bacteria culture was 500 after 10 minutes and 32518 after 30...

point) The count in a bacteria culture was 500 after 10 minutes and 32518 after 30 minutes. Assume the growth can be modelled exponentially by a function of the form Q(t)=A e rt Q(t)=Aert , where t t is in minutes. (a) Find the relative growth rate, with at least the first 5 digits after the decimal point entered correctly: r= r= equation editor Equation Editor (b) What was the initial size of the culture? Round your answer to the...

Question 11 [10 marks / 10 minutes] For the mutations in the 5’ UTR of the...

Question 11 [10 marks / 10 minutes] For the mutations in the 5’ UTR of the trp operon given below, explain the effect on expression of the trp operon relative to wildtype (increased, decreased, or unchanged). Assume medium levels of tryptophan, such that TrpR (repressor) is inactive and attenuation is active. a) A mutation in region 2 such that it cannot bind with region 3. [4 marks] b) A mutation in region 4 such that it cannot bind with region...

A 100 gallon tank initially contains 10 gallons of fresh water. At t=0 a brine solution...

A 100 gallon tank initially contains 10 gallons of fresh water. At t=0 a brine solution containing 1 pound of salt per gallon is poured into the tank at the rate of 4 gal/min., while the well-stirred mixture leaves the tank at the rate of 2 gal/min. Find the amount of salt in the tank at the moment of overflow. Enter answer as numerical decimal correct to two decimal places. pounds.

Question 9 [10 marks / 10 minutes] Suppose there are two different mutant alleles of the...

Question 9 [10 marks / 10 minutes] Suppose there are two different mutant alleles of the same gene. Sequence analysis shows that both alleles are single nucleotide substitutions, and that different nucleotide positions within the gene are affected in each allele. Phenotypic analysis shows that one allele is a null allele, and the other is dominant negative (antimorphic). Explain what this information reveals about the two mutations. Give a hypothesis for how these two mutant alleles could show such markedly...

For the following exercises, explain the notation in words. The volume f(t) of a tank of gasoline, in gallons, t minutes after noon. f′(30) = −20

Stainless Steel spoons are tested after manufacture with each test taking 10 minutes. If the plant...

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QUESTION 10 In metal cutting, the application of cutting fluid decreases the coefficient of friction thereby...

QUESTION 10 In metal cutting, the application of cutting fluid decreases the coefficient of friction thereby improving the machining efficiency. True False 1 points QUESTION 11 Increasing the rake angle of the cutting tool significantly reduces the power consumption in turning. True False 1 points QUESTION 12 A work holder must position or locate a workpiece in a definite relation to the cutting tool and must withstand ________________________ forces. cutting and shearing cutting and holding cutting and compressive

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