Use a surface integral to find the surface area of a parabolic dish (where each cross section is a parabola) for a long range microphone that is 9 inches across and 3 inches deep. How do I find the area, circumference, and perimeter of a circle?
Identify the surface whose equation is given \rho^2 (\sin^2 \phi \sin^2 \theta + \cos^2 \phi) = 9. Find the area of the surface below the plane with vector equation r(u,v) = \langle u+v,2-3u,1+u-v \rangle;...
When we have a simple and closed curve in a two-dimensional plane that can be expressed as parametric equations, we can use Green's Theorem to compute the area of the region bounded by the closed curve. We just need to find a vector fi...
For a true sphere, the sphericity is thus equal to 1, and for non-spherical particles its value falls between 0 and 1 i.e., 0 < ϕ ⩽ 1. The drawback of sphericity is that it is difficult to obtain the surface area of an irregular particle and thus it is difficult to ...
The single Kd term in the Freundlich equation implies that the energy of adsorption on a homogeneous surface is independent of surface coverage. While researchers have often used the Kd and 1/n parameters to make conclusions concerning mechanisms of adsorption, and have interpreted multiple slopes ...
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Thus if we assumed that all matter in the universe was distributed on the surface of a sphere, such that the wave-centers completely filled this surface, then this means that the Out-waves of any more distant matter would not directly contribute to our In-waves as they must flow through ...
Complex square root calculator, how to solve cubic equation on TI83, multiple choice questions on algbra, tutorial>mutually exclusive events>diagram. Simplify complex fractions problem solver, what is the EASY way to calculate surface area using the Distributive Property, solve algebraproblems, ...
You might find these chapters and articles relevant to this topic. Thermodynamic Properties Hong WeiXiang, inThe Corresponding-States Principle and its Practice, 2005 5.1.2.4Martin-Hou Equation of State Some analyticequations of statewere proposed that were based on the physical behavior on thethermodyn...
{eq}\int_{-1}^{1}\sqrt{1-x^{2}}dx {/eq} (Hint: Remember the equation of a circle centered at the origin is {eq}x^2 + y^2 = 1 {/eq}.) Area Between Functions: With the region of integration known, actually can use that to find the...