y=a(x−h)2+k becomes 2 =a(0 − (−2))2+ 1 2 = 4a+1 a= 0.25 So our quadratic function is: f(x) = 0.25(x−(−2))2+ 1= 0.25(x+ 2)2+ 1= 0.25(x2+ 4x+ 4) + 1 f(x) = 0.25x2+x+ 2 Using math software to find the function ...
A. Akbar, "Application of the im- proved F-expansion method with Riccati equation to find the exact solution of the nonlinear evolution equations," Journal of the Egyptian Mathematical Society, vol. 25, no. 1, pp. 13-18, 2017.M. S. Islam, K. Khan, and M. A. Akbar, "Application ...
Find the vector equation of the plane which passes through (2,3,-1) and perpendicular to planes \vec{r}.(\hat{i} - \hat{k})= 2 and \vec{r}.(\hat{i} -2\hat{j} +\hat{k})=5 Find an equation of the plane. The plane through the origin and perpendicular...
Find the equation of the line that passes through (1,2,3) and is perpendicular to the vectors (3i + 3j + k) and (i + 2j + 3k). Find a vector equation of the line through (4, 4, 6) that is perpendicular to the lines r_...
In number theory we consider indeterminate equations, that is, equations in several unknowns for which we wish to find solutions that are integers or rational numbers (seeDIOPHANTINE EQUATIONS). For example, the integer solutions of the equation x2 + y2 = z2 are of the form x = m2 –n2...
From the above analysis, we can find that, under the condition of a ≫ l (in this condition the hole effect is significant) the damping pressure in most internal area is constant Rl2 but the damping pressure near the two borders drop exponentially. According to Eq. (3.3.18), the dampin...
The circles with a common centre point are known as concentric circles. Visit BYJU’S to get the proper meaning and definition of concentric circles, equations, and examples.
I want this program to output y = x^2 y = 1-1000 and x = 1-1000 and it runs through each. This is what happens. Below source. y = range(0,1000) x = range(0,1000) stuff = x ** 2 / y print stuff Traceback (most recent call last): File "testing...
To find the equation of circle we use the distance formula. In this section, we will learn the standard and general form of the equation of a circle, and also solve some problems based on it. There are two forms of the equation of a circle: Standard Form General Form...
You might find these chapters and articles relevant to this topic. Sorption Phenomena on Soils Donald L. Sparks, in Environmental Soil Chemistry (Second Edition), 2003 Freundlich Equation The Freundlich equation, which was first used to describe gas phase adsorption and solute adsorption, is an emp...