Recent content by mottov2

Homework Statement Find the parameterized curve gamma and vector field F so that the \int\gamma F ds = \int\int2xy dx dy by Green's Theorem. where -2<y<2 1-sqrt(4-y2) < x < 1+sqrt(4-y2) The Attempt at a Solutionx = 1 + sqrt(4-y2) (x-1)2=4-y2 (x-1)2+y2=4 so the path is a circle centered at...

oh right thank you. and yea that should be sin(kx) for bk my bad.

Homework Statement Fidn the Fourier expansion for f of period 2Pi that corresponds to y=x/3 on the interval [0,2Pi) Im just a little confused about if I am setting up the integration properly. The asymmetric interval is kind of confusing me here. The Attempt at a Solution a0 = 1/Pi ∫ x/3 dx =...

ohhhhhhh ok so then phi should range from pi/6 to 5pi/6 ?

ok then the phi would range from -pi/6 to pi/6? this is the picture of the solid http://img444.imageshack.us/img444/4821/sphereg.jpg and the picture i drew on the yz axis http://img522.imageshack.us/img522/9702/tripinteg2.jpg did i sketch this out properly?

yes i put the cylinder along the z-axis. ok so i drew projection on yz-axis which looks like two half circles with a gap in the middle. so then would the phi ranges from 0 to pi/6, and rho range from 1/sin(phi) to 2? which gives me an answer of 2pi(1-pi/6)

Homework Statement A central cylinder of radius 1 is drilled out a sphere of radius 2. Let B be the region inside the sphere but outside the cylinder. Evaluate ∫B 1/x2+y2+z2 dV The Attempt at a Solution Volume = ∫∫∫ 1/x2+y2+z2 dV = ∫∫∫ 1/\rho2 sin\phi\rho2 d\rhod\thetad\phi...

There are 3 events A,B and C prove that P(A\cupB\cupC) = P(A)+P(B)+P(C)-P(A\capB)-P(A\capC)-P(B\capC)+P(A\capB\capC) each event is disjoint so by the additivity rule... My attempt: A\cupB\cupC =...

Homework Statement Find the basis for the row space The Attempt at a Solution the given matrix is 0 1 2 1 2 1 0 2 0 2 1 1 So i reduced to row-echeleon form 2 1 0 2 0 1 2 1 0 0 3 1 so then rank = 3. My textbook states that the basis of the row space are the row vectors of leading ones...

Homework Statement Let A be an m x n matrix such that the homogeneous system Ax=0 has only the trivial solution. a. Does it follow that every system Ax=b is consistent? b. Does it follow that every consistent system Ax=b has a unique solution? The Attempt at a Solution So if the homogeneous...

Homework Statement \int \frac{arctan(x)}{2+e^x}dx where the interval of the integrand is from 0 to infinity. In order to use the comparison method I need to compare 2 functions but I am having so much difficulty figuring out what function to compare it to. Its not just this particular...

Determine whether the span of the column vectors of the given is in...? Homework Statement determine whether the span of the column vectors of the given matrix is in euclidean space R=4 1 0 1 -1 0 -1 -3 4 1 0 -1 2 -3 0 0 -1 this question is under the inverse of square...

Homework Statement [PLAIN]http://img703.imageshack.us/img703/3580/12p71.jpg m1 = 1,378 g. It is free to move along a horizontal, frictionless surface. This block is connected to a second block with mass of m2 = 872 g by a massless string that extends around a massless, frictionless pulley...