An equation is meant to be solved, that is, there are some unknowns. A formula is meant to be evaluated, that is, you replace all variables in it with values and get the value of the formula. …

May 28, 2013 · If we want an equation f(x, y) f (x, y) for the line, the domain of f f can only be the shadow of the line on the xy x y plane. But any nice function f f will have as a domain either all …

All points on it have x=0 and y=0. Clearly it is a line with any z-allowed. You could write the equation of the axis as x2 +y2 = 0 x 2 + y 2 = 0, because in the reals the only solution to this …

Apr 15, 2018 · the equation to simpler equation (s) and end up with an equation that can be solved by inspection. In all these cases the equality tells you two things are really the same. …

Dec 21, 2023 · I know to translate the circle equation we just need to change the values in the brackets of the general circle equation (x −x1)2 + (y −y1)2 =r2 (x x 1) 2 + (y y 1) 2 = r 2 , and in …

Oct 9, 2024 · The point of the backward equation is that if we observe that a solution has value x x, at time t t, it can tell us the distribution of most likely values y y, at an earlier time s s.

Oct 2, 2011 · I need to graph a rectangle on the Cartesian coordinate system. Is there an equation for a rectangle? I can't find it anywhere.

A Bernoulli differential equation is a non-linear differential equation of the form $$ \\frac{dy}{dx} + P(x)y = Q(x)y^n. $$ I understand this is special; Because its exact solution is known though ...

is called Riccati's equation show that if f is any solution of the equation, then the transformation y = f + 1 v reduces it to a linear equation in v. I am not understanding this, what does f mean? …

Apr 20, 2017 · Get the equation of a circle through the points $(1,1), (2,4), (5,3) $. I can solve this by simply drawing it, but is there a way of solving it (easily) without having to draw?