Recent content by lmannoia

Homework Statement Evaluate the line integral yzdx+yzdy+ydz where C is the following semicircle The top half of y^2 + z^2 = 4 in the yz plane traveling from left to right. Homework Equations The Attempt at a Solution What I tried, but I know it's not right, and I'm just not sure...

Homework Statement The question is to use MATLAB to evaluate a triple integral in spherical coordinates to find the mass density of the solid inside the cone z = (3x^2 + 3y^2)^.5 and below z = 5 where the mass density at (x,y,z) is equal to the z coordinate of the point. Homework...

worked perfectly; thanks so much!

Homework Statement For a project for my calc 3 class, we have a small MATLAB assignment. The one question I can't plot is the surface (using ezsurf) f(x,y)=ye^-(x^2+y^2) Homework Equations i've tried ezsurf('y*e^(-x^2+y^2)') with syms x y and even syms x y e I also tried...

Astronomy -- pressures Homework Statement The gas pressure of the photosphere changes substantially from its upper levels to its lower levels. Near the top of the photosphere and the temperature is about 4500 K and there are about 1.6x10^16 gas particles per cubic centimeter. In the middle...

Wow, I can't believe that I didn't see that. Thanks a lot!

Homework Statement Write the following polar equation in Cartesian coordinates: r= 2/(3cos(theta)-9sin(theta)) Homework Equations r = (x^2 + y^2) ^.5 x=rcos theta y=rsin theta sin^2(x)+cos^2(x) = 1 The Attempt at a Solution I'm stuck on how to do this. Any push in the right...

It would be f(0)+f1(0)x+f2(0)x^2/2! +f3(0)x^3/3!.. what I'm not getting is, how can I do this when I'd be plugging in zero? Wouldn't all of the coefficients just be zero? Or am I thinking about this in the wrong way?

Homework Statement Let f(x) = x3ln(1+x2), and let the summation (from n=0 to infinity) anxn be the Taylor series for f about 0. Then what is a3? Homework Equations The Attempt at a Solution What?! I definitely don't expect the answer, but does anyone know how I could go about...

Homework Statement Let f(x)=x2 +3x -5, and let the summation (from n=0 to infinity) an (x-4)n be the Taylor series of f about 4. Find the values of a0, a1, a2, a3, and a4. Homework Equations The Attempt at a Solution What am I supposed to do with the summation? And what does it mean...

So the limit is 1/e, making the radius of convergence e then?

Homework Statement The radius of convergence of the sum (from n=1 to infinity) of n!x^n /n^n Homework Equations The Attempt at a Solution I ask way too many calculus questions on here.. This is everything I've done, written really badly.. Ratio test: (n+1)!xn+1/(n+1)n+1 times...

But wait, if you do 7^{-n-1}x^{n+1}/7^{-n}x^{n}, doesn't it get down to x/7? In which case, wouldn't R be 1/7?

Oh wow, I can't believe I made that mistake. Thank you!

Homework Statement Find the radius of convergence for (sum from n=0 to infinity)7^(-n)x^(n). Homework Equations The Attempt at a Solution The problem above it was a similar sum, (7^n)(x^n). That answer was that the radius of convergence was 1/7. To do this one that I posted up...