Recent content by ranger1716

I have a question regarding a 4th order differential equation from an exam i just took. we were asked to solve y^(4)-1=5 given y'(0)=y''(0)=y^(3)(0)=0 I started by factoring down to (r-1)(r+1)(r^2+1)=5. I then found my general solution to be y=C_1e^6x+C_2e^4x+C_3e^2x+C_4e^-2x Obviously I...

That's what I was thinking, however I don't know how to do this with two variables. I'm in Calc 3 but we haven't yet done partial derivatives. Everything that I have seen (including using Maple) needs to use partial derivatives to solve the problem. I've basically attempted to take the...

I was wondering if someone could show me where to go next in this problem. I need to determine the minimum length, width and height that a 1 cubic foot box can have. This box does not have a top. I know that I need to minimize the area, but I'm not sure if I'm going about this correctly. So...

I'm having some trouble understanding exactly how to graph this problem using cylindrical coordinates. The coordinates they give me is r=2cos(theta) How do I go about beginning to determine how to graph this with only the radius?

I have a question for those of you who may have seen books/resources on this before. I am just finishing calculus 2 this semester and will be continuing in math next year. What I would like to know is whether there are any books written for my mathematical level of knowledge that would...

oh ok...that makes total sense. I was multiplying by 60 to try and convert the units, but now I can see how to get the answer. I didn't use that relationship that you gave. Thank you!

I honestly don't know what I'm doing wrong. I used the equation I described above and multiplied by 60 in order to get ft lbs/min. :confused:

OK, I have a question regarding this homework that I have to complete about power and airspeed. I have a beech bonanza v-tailed aircraft and I need to calculate rate of climb in ft/min with a True airspeed of 110 knots. (110 knots = 185.7 ft/s) I am using R/C= (excess power)/weight My...

I'm kind of lost on where to go next with this integration by parts problem. I have to integrate e^xcos(x)dx. I've gotten as far as one step of integration by parts, but I can't understand how this will help. It seems I'll just be going in circles. I have: e^xsin(x) - int(e^xsin(x))dx...

"Find the center of pressure for the upper surface of the airfoil (in terms of %chord from the leading edge)." I was trying to get the picture from the problem posted up here, but I haven't been able to so far.

I've looked at methods similar to what was on that page, however I don't think I have enough information from that problem to use this method. Do I have to know the velocity of the incoming flow in order to determine the center of pressure? I have a sort of triangle made for determining the...

I have some intro aeronautical class homework problem that is giving me difficulty. I need to find the center of pressure for the upper surface of an airfoil in terms of percent chord from the leading edge. I know that the chord lenth is 1m. The pressure from the top surface of the airfoil...

Ok, I worked this derivative problem, but my book has a different answer than what I got. I'm not sure why. I need to compute the derivative of log base3 of (x^3 + 2x) I came out with: 1/((x^3 + 2x)ln3) The book says that the answer is the same as mine except the numerator has a...

ok, so my problem goes like this: I have that the integral of dx/((cx+a)(dx+b))=1/(ad-bc)lnabs((dx+b)/cx+a)) + C I have to use differentiation to verify the integration formulas. So far I've gotten to: D(1/(ad-bc)lnabs((dx+b)/cx+a)))=(1/ad-bc)((cx=a)/(dx+b)) => (cx+a)/((ad-bc)(dx+b))...

could someone give me a hand with this please? i need to use the interval halving method to show that the function f has a root in the interval [a,b]. I need to approximate that root and determine a bound on the error of my estimate. f(x)=x^3+2x^2+pi(x)-(square root of 2) I have...