Multivariable Calculus Resources

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.

Consider the solid body which lies above the upper half of the cone x^2 +y^2= 3z^2 and below the sphere x^2 + y^2 + z^2 = 4z. Assume this body is of constant density.   Use...

Containment and Equality If A and B are sets, then A is said to be contained in B iff (if and only if) every element of A is contained in B. So A⊆B means that A is a subset of B. Example: All squares ⊆ all rectangles All right triangles ⊆ all triangles Important! This implies the idea of forwards and backwards logic: If Joe has three million dollars, he is a millionaire... read more

Sets and Other Elementary Subjects Sets are a collection of things called objects. Objects are all unambiguously defined. In other words, objects have unmistakably clear definitions with one meaning and one interpretation that leads to one conclusion. This may seem convoluted because we are so used to words and phrases having different meanings and whatnot, but not in this case. Look... read more