Questions from General Calculus

Q: (a). The population of the world was 5.28

(a). The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential model for these data and use the model to predict the world population in the year 2020. (b). Ac...

Q: What is a separable differential equation? How do you solve it

What is a separable differential equation? How do you solve it?

Q: (a). Fibonacci posed the following problem: Suppose that rabbits

(a). Fibonacci posed the following problem: Suppose that rabbits live forever and that every month each pair produces a new pair which becomes productive at age 2 months. If we start with one newborn...

Q: Find all functions f such that f' is continuous and

Find all functions f such that f' is continuous and

Q: One model for the spread of an epidemic is that the rate

One model for the spread of an epidemic is that the rate of spread is jointly proportional to the number of infected people and the number of uninfected people. In an isolated town of 5000 inhabitants...

Q: A tank contains 100 L of pure water. Brine that contains

A tank contains 100 L of pure water. Brine that contains 0.1 kg of salt per liter enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate...

Q: The transport of a substance across a capillary wall in lung physiology

The transport of a substance across a capillary wall in lung physiology has been modeled by the differential equation where h is the hormone concentration in the bloodstream, t is time, R is the maxim...

Q: Populations of birds and insects are modeled by the equations

Populations of birds and insects are modeled by the equations (a). Which of the variables, x or y, represents the bird population and which represents the insect population? Explain. (b). Find the e...

Q: Suppose the model of Exercise 22 is replaced by the equations

Suppose the model of Exercise 22 is replaced by the equations (a). According to these equations, what happens to the insect population in the absence of birds? (b). Find the equilibrium solutions an...

Q: Barbara weighs 60 kg and is on a diet of 1600 calories

Barbara weighs 60 kg and is on a diet of 1600 calories per day, of which 850 are used automatically by basal metabolism. She spends about 15 cal/kg/day times her weight doing exercise. If 1 kg of fat...