Questions from General Calculus

Q: A bacteria culture contains 200 cells initially and grows at a rate

A bacteria culture contains 200 cells initially and grows at a rate proportional to its size. After half an hour the population has increased to 360 cells. (a). Find the number of bacteria after hours...

Q: What can you say about the solutions of the equation y' =

What can you say about the solutions of the equation y' = x2 + y2 just by looking at the differential equation?

Q: (a). Use Euler’s method with step size 0.2

(a). Use Euler’s method with step size 0.2 to estimate y (0.4), where y (x) is the solution of the initial-value problem (b). Repeat part (a) with step size 0.1. (c). Find the exac...

Q: Explain how Euler’s method works.

Explain how Euler’s method works.

Q: What is a power series?

What is a power series?

Q: To control an agricultural pest called the medfly (Mediterranean fruit fly

To control an agricultural pest called the medfly (Mediterranean fruit fly), N sterilized male flies are released into the general fly population every day. If is the proportion of these sterilized fl...

Q: (a). What is the radius of convergence of a power

(a). What is the radius of convergence of a power series? How do you find it? (b). What is the interval of convergence of a power series? How do you find it?

Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.