Recent content by ends

Thanks a lot! Makes perfect sense. Could you also help me with this one - I have the integral right, but I'm having trouble approximating it perfectly for the online source to consider it correct - Assume e^x equals it's Maclaurin series for all x. Use the Maclaurin series e^(-4x^4) to...

Expand the quantity (t + P)^(1/2) about 0 in terms of t/P. Give four non-zero terms. (t + P)^(1/2) ~ =

Point taken...It was reinforced in class. But from this question, the rate in and rate out i get are: $$rate IN = concentration*flow = (200kg/400,000L)*(500L/hr) = 0.25kg/hr$$ $$rate OUT = conc*flow = (x/400,000L)(500L/hr) = x/800 kg/hr$$ Which sets up the diff eqn,: $$dx/dt = 0.25 -...

Suppose the clean water of a stream flows into Lake Alpha, then into Lake Beta, and then further downstream. The in and out flow for each lake is 500 liters per hour. Lake Alpha contains 400 thousand liters of water, and Lake Beta contains 200 thousand liters of water. A truck with 200 kilograms...

Thanks guys...it simplified nicely, really appreciated the help, cheers.

Thank you, but can you equate this one for me so I have a general idea of how to multiply these two large terms? I'm not entirely sure how to go about it, and since it's my last chance to submit it online, I don't want to mess it up.

So since it's a 2x2 matrix, it's easier to use the equation A(INVERSE) = (1/ad-bc)(d , -b -c , a) I get stuck here, I don't really know how to apply this formula when it's in a more...

(-2e^2t)(sin(4t)) , (-2e^4t)(cos(4t)) (-2e^2t)(cos(4t)) , (2e^4t)(sin(4t)) Please and Thank you!

-2x - 9y + 3z = -8 I set parameters, and i get x= 4 - 4.5s + 1.5t y = s z = t But the database I'm using says it's incorrect...