Recent content by Ral

Geez, making such stupid mistakes. That part that's hard to read is e^x, sorry about that. I'll retype it here. \int\int_{R}ye^x So when I go into polar coordinates, I replace x and y with rcos\vartheta and rsin\vartheta I get \int^{\pi/2}_{0}\int^{5}_{0}rsin\vartheta*e^{rcos\vartheta}...

Homework Statement http://img162.imageshack.us/img162/9831/97118623.jpg Homework Equations The Attempt at a Solution I first drew R, and from the circle equation, I know the radius of the circle is 12.5. Since the region is in the first quadrant, that'll mean that my limits of...

Yeah, I was going to do that simplification. Thanks for helping me clarify this.

Yes, I mean the limits of integration for r and theta. So if that R is correct, then that means I had the correct answer, right?

http://img96.imageshack.us/img96/5444/66431931.jpg Here's what I had. The 1st quadrant would be shaded. The one that's confusing me the most is the integral for dr, while I think the integral for d\vartheta is correct.

That limit should have been \sqrt{2x-x^2. I messed up typing it up, I edited it in the right limit.

Homework Statement Rewrite by converting to polar coordinates, carefully drawing R. \int^{2}_{0}\int^{\sqrt{2x-x^2}}_{0}\sqrt{x^2+y^2}dydxHomework Equations The Attempt at a Solution I believe I have the inside part of it right. What I did was replace the x^2 and y^2 in \sqrt{x^2+y^2} with...

Homework Statement Find the Cartesian equation of the parametric surface: [2cos(t)cos(s), 3sin(s), sin(t)cos(s)] Find eqn. of the tangent plane when S = 0, t = pi/2Homework Equations The Attempt at a Solution I'm not quite sure what to do. All I've done is squared each term, which gave me...

z = \sqrt{x^2 + 1} Then would that be the curve?

Yeah, z = \sqrt{x^2 + y^2} is the surface. So the curve would then be \sqrt{x^2 + 1}?

Homework Statement a.)\sqrt{x^2+y^2} Find the equation of the tangent plane at the point given by: x = 1, y = 1 Draw the 3d-graph of the surface and the tangent plane. \stackrel{\rightarrow}{n} = the normal vector to the tangent plane. b.) If the surface is intersected with the plane y =...