suppose the population of a certain bacteria in a laboratory sample is 100. if it is doubles in population every 6 hours, what is the growth rate? how many bacteria will there be in two days?

Q: Suppose that during the first year after its hatching, the weight of a duck increases at a rate…

A: Solution

Q: 4) Use the situation to answer the question. Iodine-131 has a half-life of 8 days. How much of the…

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Q: a city grows at a rate directly proportional to its population. The initial pop. is 30 and it…

A: The rate of change of the variable (Population here) is proportion to the variable itself. Hence,…

Q: A bacteria has an initial population of 200. If after 2hrs, its population is 10 times the original…

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Q: A tree is 4 1/2 feet tall, it grows 1 3/4 feet every year. How many years is it going to take the…

A: Given Height of tree = 412=92ft Height grows every year= 134=74ft To find number of years in which…

Q: The growth rate of a colony of rabbits is 40% per month. If the initial population of the colony 100…

A: The initial population of the rabbits is 100. It is given that the growth rate of rabbits is 40% per…

Q: A rabbit breeder starts with 16 rabbits. if the population grows exponentially at a rate of 23% per…

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Q: A bacteria culture doubles every 15 days. If the initial population of the bacteria was 25, what is…

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Q: A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the…

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Q: population of a city is tripling every 15.8 years. If its current population is 35.2, in thousands,…

A: Given query is to find the population after 2.6 years

Q: Suppose that a population in a particular city is 46,581 in 2010. What is the population after 15…

A: The population growth is modelled using the equation: N(t)=N01+rt, where N0 is the initial…

Q: Suppose that there are initially 75 bacteria in a colony and after 3 hours, there are 300 bacteria…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A tumor doubles in size every 5 months. If the initial size of the tumor is 12 cells, how many cells…

A: Given that a tumor doubles in size every 5 months.If the initial size of the tumor is 12 cells.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.