# Question: Generalize Theorem 5 6

Generalize Theorem 5-6 to the case of an oriented (n - 1) -dimensional manifold in Rn.

The generalization is w Є A n-1(Mx) defined by

The generalization is w Є A n-1(Mx) defined by

## Answer to relevant Questions

a. If f: |a, b|→ R is non-negative and the graph of f in the x,y -plane is revolved around the -axis in R3 to yield a surface M, show that the area of M isLet f, g: [0, 1] → R3 be nonintersecting closed curves. Define the linking number l (f, g) of and g by (cf. Problem 4-34The quantities viscosity μ, velocity V, and surface tension Y may be combined into a dimensionless group. Find the combination which is proportional to μ. This group has a customary name, which begins with C. Can ...For low-speed (laminar) flow in a tube of radius ro, the velocity u takes the form u = B Δp/μ (r2- r2) Where μ is viscosity and Δp the pressure drop. What are the dimensions of B?The dimensionless Grashof number, Gr, is a combination of density ρ, viscosity μ, temperature difference ΔT, length scale L, the acceleration of gravity g, and the coefficient of volume expansion β, ...Post your question