Recent Homework Questions About Calculus
Assume that the rate of population growth of ants is given by the equation: dP/dt=.1P(1 - P/730)-(129000/7300) a. If P(0)=150, what happens to P as t gets very large? b. If P(0)=800, what happens to P as t gets very large? c. If P(0)=800, what happens to dP/dt as t gets very ...
Wednesday, December 11, 2013 at 10:35pm
Show that the maximum profit occurs when the marginal revenue equals the marginal cost. I'm pretty sure this is supposed to be some sort of proof, but I have no idea how to even start it...
Wednesday, December 11, 2013 at 8:21pm
as you can see from the graph, they do not intersect, so we simple take the integral from 1 to 2 area = ∫ e^x - x dx from 1 to 2 = [e^x - x^2/2] from 1 to 2 = e^2 - 2 - (e^1 - 1/2) = e^2 - e - 3/2
Wednesday, December 11, 2013 at 6:58pm
thank you so much
Wednesday, December 11, 2013 at 6:35pm
Here is a sketch http://www.wolframalpha.com/input/?i=plot+y+%3D+x%5E2+−+4x+%2B+1+and+y+%3D+−x%5E2+%2B+4x+−+5 Easy to find their intersection points: (1, -2) and (3, -2) effective height between x = 1 and x = 3 = (-x^2 + 4x - 5) - (x^2 - 4x + 1...
Wednesday, December 11, 2013 at 6:34pm
xy' + 1 = y^2 xy' = y^2-1 y' = (y^2-1)/x dy/(y^2-1) = dx/x arctanh(y) = log(x) or, log (1-y)/(1+y) = 2log(x)+c and you can massage that into exponentials and wind up with y = 1-e^(2cx^2) / 1+e^(2cx^2)
Tuesday, December 10, 2013 at 8:39pm
better use the quadratic formula for this one.
Tuesday, December 10, 2013 at 6:30pm
You need to write out the question. I have no idea what "pre calculus" this could be, maybe zeroes, however, that is standard fare for an algebra course.
Tuesday, December 10, 2013 at 6:26pm
X^2 - 3X - 7 = 0 This Eq cannot be factored. Use the Quadratic Formula: X = (-B +- sqrt(B^2-4AC))/2A X = (3 +- Sqrt(9+28))/2 X = (3 +- 6.08)/2 = 4.54, and -1.54.
Tuesday, December 10, 2013 at 6:03pm
You simply have to ask a question.
Tuesday, December 10, 2013 at 5:58pm