In order to derive the equation of an ellipse centered at the origin, consider an ellipse that is elongated horizontally into a rectangular coordinate system and whose center is placed at the origin.The foci are on the x-axis at (-c,0) and (c,0) and the vertices are also on the x-...
The first equation of motion can be derived using a velocity-time graph for a moving object with an initial velocity of u, final velocity v, and acceleration a. In the above graph, The velocity of the body changes from A to B in time t at a uniform rate. BC is the final velocity ...
Derive the differential equations of motion for the following system. Input F(t) and the output is y(t). Consider the velocity field: u = x 1 + t , v = y 1 + t a. Find the equation for a streamline passing through (x,y) = (3,4). b. Fine the equation ...
Question: Derive the income elasticity of demand for individuals with; a) Cobb-Douglas, b) Perfect substitutes, c) Perfect complements utility functions substitute Goods: Substitute goods refer to those goods which show the direct relationship be...
Question: If {eq}X {/eq} ~ {eq}WEI(\theta, \beta) {/eq}, derive {eq}E(X^k) {/eq} assuming that {eq}k > -beta {/eq}. Weibull Distribution: The Weibull distribution is the continuous probability distribution and is a parent distribution for the exponential distribution ...
NOw i know the proof of stokes's law,poiseuille equation. I never believed that the proof would be such a general one(u only need to know Newton's law). All book except one(physical fluid mechanics by d.j tritton)were providing proof after digging into 100s of pa...
where with u11(t) and u12(t) I noted the two sections of the waveform in Figure 2. The RMS value of u11(t) is identical with the one shown in equation (3). (7) In a similar way, we can calculate the RMS value of u12(t): ...
Therefore, the RMS value of a sine wave with a DC offset is given by the following expression. (15) The immediate verification of the validity of this expression is the RMS value of a sine wave with zero DC offset. Indeed, when a0= 0 V, the RMS level reverts back to equation...
The selected time lapse is a function of the image footprint and flying speed, as shown in Equation (3). The GSD can be estimated based on the assumption that the terrain is relatively flat (see Equation (2)); (c) The exterior orientation parameters (EOPs) of the images can be ...
The Direct Measuring Method for CD Derivation The force acting on a single stem can be expressed by Morison equation [23] as F = FD + FM = 1 2 ρCD hv bv U|U| + π 4 ρCM hv bv 2 ∂U ∂t (1) where F is the total acting force on vegetation which can be obtained by ...