India A = 1173.1e.0081 Iraq A = 31.5e0.0191 Japan A = 127.3e 0.0061 Russia A = 141.9e 0.0051

Q: The island of Slashenburn is depleting its rainforests at an alarming rate. In 1960 the forests were…

A: (a) From the given information, the initial amount N0=100 and 94% remained in the year1975. Note…

Q: A population is known to grow exponentially. If it starts at 100 and is 150 after 3 months when will…

A:

Q: What is the exponential decay?

A:

Q: Because of a virus introduced into a bacterial culture, the population of the bacteria decreased…

A: Exponential decay is N = 50000e-λt Therefore, 30000 at t= 54 min Therefore 30000 = 50000e-λ54…

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

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Q: In each case, state whether the described growth and/or decay is linear or exponential, and explain…

A: a) Given the insect population on land has been decreasing by 9% per decade. This means the…

Q: New policies cause the crime rate to lower by 21% per year. Give the growth factor. Assume time is…

A: Given that the new policies cause the crime rate to lower by 21%.   To calculate the growth factor.…

Q: The revenue of Apple® went from $54.5 billion in 2013 to $74.6 billion50 in 2015. Find an…

A:

Q: Section 3.2 (31) During a prolonged recession, property values on Long Island depreciated by 2%…

A: Let cost of house be denoted by ‘x’ at time ‘t’. If ‘A’ be the original price of the house and ‘r’…

Q: Give two pieces of information that may be used to formulate an exponential growth or decay…

A: We have to give two pieces of information that may be used to formulate an exponential growth or…

Q: Carbon-14 has a half-life of approximately 6700 years. Scientists have determined that 73% of the…

A: We know that, N(t)= N(0)*(1/2)(t/t1/2) where, N(t) = quantity of the substance remaining N(0) =…

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

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.