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The integral with bounds C (xyzi+y4j+(2y+z8)k) dot dr, where C is the intersection of the unit cube and the plane z=x/10+y/20+1/30; Specific which method you used.

Evaluate the following integral using any Vector Calculus method The integral with bounds C; [(4+eyz)i+(xzeyz+2yz)j+(6z2+xyeyz+y2)k] dot dr, where C is the part of...

Find the absolute maxima and minima of the function on the given domain. Given: T(x,y) = (x^2)+xy+(y^2)-12x+2 on the rectangular plate 0≤x≤9, -5≤y≤0   Thanks!

I am taking an online math class and there was a question I got wrong but I believe I was correct on it. Open the link to see the question. Its on Calculus 3.   http://s8.postimg.org/93wm0sxpx/untled...

The following is a homework problem I have: http://i.imgur.com/eE0GuP9.png   I'm not really sure how to go about this. What is the logic/steps I have to use to get to the final answer...

A wrench 0.5 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of ?0,1,4? at the end of the wrench. Find the magnitude of the force in...

Convert the integral ∫(-1 < x < 1)  ∫(0 < y< sqrt(1-x2)  ∫(( -sqrt(1-x2-y2) < z < 0)      z2(x2+y2+z2)^(1/2)    dzdydx   into...

Find the domain, the range, and describe the level curves for the function   f(x,y) = 1 - e^(-4x2 -9y2)   I figure out that the domain is all real numbers The...

Consider a simple, smooth (so that it has a well-defined tangent vector at every point), closed planar curve of total length L. Prove that the total integral of curvature with respect to arclength...

r(t)=< e5t cos(12t), e5tsin(12t), e5t >   1. Show that (5cos12t - 12sin12t)2 + (5sin12t + 12cos12t)2 = 132   2. Find the equation of the surface the curve...

r(t) = < e5tcos(12t), e5tsin(12t), e5t >   1. Find the unit binomial vector B(t)   2. Find the curvature k(t)   3. Find the torsion    4...