n (Mathematics) an equation in polar coordinates Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014 Want to thank TFD for its existence?Tell a friend about us, add a link to this...
solving linear differential equations for finding the solution of such linear differential equations, we determine a function of the independent variable let us say m(x), which is known as the integrating factor (i.f). multiplying both sides of equation (1) with the integrating factor m(x) ...
Leibniz discovered thatintegratingf(x) is equivalent to solving adifferential equation—i.e., finding a functionF(t) so thatF′(t) =f(t). In physical terms, solving this equation can be interpreted as finding the distanceF(t) traveled by an object whose velocity has a given expressionf(...
Line l contains points at (-5,3) and (4,-6). Find the distance between line l and point P(2,4).Step1 Find the equation of the line l. Begin by finding the slope of the line (-5,3) through points (-5,3) and (4,-6). ...
[guide]drawingsystem [studentactivity]:trytowriteouttheequationofthecurve (thestepsoftheequationandthedefinitionofthecircle) Solution:asemicircularsectioncenterastheoriginof coordinates,thediameterofthesemicircleABwherethe straightlinetotheXaxis,aCartesiancoordinatesystem,then theequationforX2y2semicircle=16(y=...
Similarly, for {eq}y- {/eq} axis, the directrix is {eq}y=k \pm a {/eq}. How does one find the equation of a parabola given the focus and directrix? The equation of a parabola is obtained by finding and equating the distances between the focus and the point on the parabola and ...
In the improved Moran scatter plot, the information of the constant term can be intuitively reflected by the distance between the two trend lines. The closer the two trend lines are, the stronger the spatial autocorrelation; on the contrary, the more two trend lines deviate from each other, ...
For turbulent non-isothermal three-dimensional flows using the k–ε model, the general variable is φ=ui,Θ, k, ε. These algebraic equations are coupled and highly nonlinear, and the process of finding their numerical solutions will necessarily use repetitive or iterative solvers. The different...
The Lagrange equation can be modified for use with a very distant object in the following way. In Figure 3.12b, let A represent a very distant object and A′ its image. As the object distance l becomes infinite, the image A′ approaches the rear focal point. Then by the Lagrange equatio...
Plot the relationship between electrical potential (ψ) and distance from the surface (x) for the following values of x: x = 0, 5 × 10−9, 1 × 10−8, and 2 × 10−8 m according to the Gouy-Chapman theory. Given ψ0 = 1 × 10−1 J C−1, Mi = 0.001 mol dm−...