Download Math 213 Quiz 3 Name:

yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Quartic function wikipedia, lookup

Equation wikipedia, lookup

Math 213
Quiz 3
1. [5 points] Consider the following initial-value problem.
y0 = x + y2 − 3.6,
y(0) = 2.
Use Euler’s method with step size ∆x = 0.5 to estimate y(1).
2. [3 points] In a certain electrical circuit with an inductor and a resistor, the electric current I obeys
the equation
= −kI,
where k = 0.12/sec. Assuming the initial current in the circuit is 1.5 amps, how much current will
there be after 2.0 seconds?
3. [12 points] When a hospital patient is administered morphine intravenously, the volume V of morphine in the bloodstream obeys the equation
= r − kV
where r is the flow rate of the morphine, and k = 0.35/hour.
(a) Find the general solution to the above equation.
(b) A patient is connected to an IV drip that administers morphine at a rate of 1.5 mg/hour. How
much morphine will there be in the patient’s bloodstream after 1 hour?