Recent content by mknut389

Thank you. That link lead me to another chapter in the book which gave me the explanation, as well as some more info on the airy function

I am currently working on a solution to an differential equation of the form I(x)-xI(x)=0. The solution is the airyai and airybi functions, and I have found the power series equations for these. I am using two different mathematical programs to evaluate the solution, and each are giving me...

I have been trying to solve a differential equation that will be used to determine voltage and current variations based on ambient temperature and the distance along the line. To avoid the complicated derrivation of the current equation... the current based off the temperature variations should...

Yes, ax, ay, az are the direction unit vectors. Thanks

I got an answer for this, but it just doesn't seem correct. Maybe someone could tell me what I am doing wrong, or that I am just over thinking the problem and I am right. Homework Statement Write an expression for the differential length vector dl at the point (1,2,8) on the straight line...

I solved it: First the bounds had to be reworked for r in terms of Z r: \left[z/3,\sqrt{16-z^2}\right] Then by solving the two equations in terms of Z and setting them equal to each other, I determined the maximum value for r \sqrt{16-r^2}=3r r=(2*\sqrt{10})/5 after plugging that in...

Homework Statement Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 16, above the xy plane, and outside the cone z = 3 \sqrt{{x^2+y^2}}. Homework Equations spherical system: x=\rhocos\thetasin\phi y=\rhosin\thetasin\phi z=\rhocos\phi cylindrical system x^2+y^2=r^2...

I am sure it is log(t) and not ln(t). That would make it a bit easier... Thanks for the variable mistake catch... I fixed it...

Homework Statement Consider the path f{r}(t) = (8t, 4t^2, 4log(t) ) defined for t > 0. Find the length of the curve between the points (8, 4, 0) and (24, 36, 4log(3)). Homework Equations \int|r' (t)|dt The Attempt at a Solution r(t)=(8t, 4t^2, 4log(t)) r'(t)=(8, 8t, 4/(ln(10)t)) |r'...