?

t0 should be 0 and z is a constant

It's been a while since I've done calc, and I'm taking an engineering course for the first time in a while. This problem is about cold work and relates dislocation density to strain during cold work.

I'm not exactly sure how to go about this...

If someone posts a question like "Where can I watch/download movies for free online?" is that against the rules? Also, what sort of answers violate the rules in this case (i.e.: directing someone to a torrent site or an illegal streaming site)? Sometimes I'm just not sure what to report.

So, I'm not too well versed in documentaries, but it seems to me that the days of cinema verite and direct cinema have been replaced by biased films by the likes of Michael Moore. Are there any good cinema verite or direct cinema documentaries made recently?

Like a chewy candy like starburst or razzles

Verify Stokes' theorem for the helicoid Ψ(r,θ)=(rcosθ,rsinθ,θ) where (r,θ) lies in the rectangle [0,1]×[0,π/2], and F is the vector field F=(2z,6x,3y).

First, compute the surface integral: ∫∫(∇×F)⋅dS=a∫b c∫d f(r,θ)drdθ. I need to find f, a, b, c, and d.

Then, I have to compute the line integral on that part of the boundary from (1,0,0) to (0,1,π/2).

∫C F⋅ds=a∫b g(θ)dθ. Now, I need to find a,b, and g.

Let F=(2x,2y,2x+2z). Use Stokes' theorem to evaluate the integral of F around the curve consisting of the straight lines joining (1,0,1),(0,1,0), and (0,0,1).

I have to find the unit normal and the curl of F (okay, finding the curl is easy, I can do that) and evaluate the integral.

Let M be the closed surface that consists of the hemisphere:

M1: x^2+y^2+z^2=1, z≥0

and its base:

M2: x^2+y^2≤1 z=0

Let E be the electric field defined by E=(3x,3y,3z). Find the electric flux across M. Write the integral over the hemisphere using spherical coordinates, and use the outward pointing normal.

∫∫M1 E·dS= a∫b c∫d f(θ,φ) dθdφ

So, I have to find a, b, c, and d (I'm assuming the bounds for theta are 0 2pi and for phi they're 0 to pi/2, since it is a hemisphere).

I also have to find f(θ,φ) and the integrals ∫∫E·dS over M1, M2, and M.

I'm pretty lost here, any advice?

For the surface with parametric equations r(s,t)=<st,s+t,s-t>, find the equation of the tangent plane at (2,3,1).

Also, find the surface area under the restriction s^2+t^2<=1

I thought I should take the derivative with respect to s and t and cross them to find a normal, but I still have everything in terms of s and t. I'm a little lost...

Find the volume of the ring shaped solid that remains.

I think Requiem For A Dream is his most intense; it just doesn't let go for like the last half hour.

I get it, he doesn't like rich people. He doesn't like religion. Doesn't he have anything else to say?

I love his style, but he's always tackling the same subject matter... I've seen:

Un Chien Andalou (deals with religion, when the man has to pull the pianos and the priests)

Exterminating Angel

Discreet Charm of the Bourgousie (pretty similar to Exterminating Angel in a lot of ways)

Viridiana