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I want to plot f(x, y) = x2 +y2 f (x, y) = x 2 + y 2? I can plot functions of a single variable but I don't know how to plot multivariable function.
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The calculator will draw the graph of the function x^2 + y^2 = 9.
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How can I intuitively draw the graph of x2 −y2 = x 2 − y 2 = constant ? like Intuitively I can draw the graph of xy = x y = constant, like if x x increases then y y has to decrease so as to be constant and we get a rectangular hyperbola, but how do i think in this case of x2 −y2 = x 2 − y 2 = constant ?
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I am just moving that curve around to show you how it works. Example 2: y = x 2 − 2 The only difference with the first graph that I drew (y = x 2) and this one (y = x 2 − 2) is the "minus 2". The "minus 2" means that all the y -values for the graph need to be moved down by 2 units. So we just take our first curve and move it down 2 units.
First, find some of the level curves to have an idea about the graph of the function. For f (x, y) = − 2
Well, in order to determine the shape of the graph, you need to understand that the [ (x^2/a) - (y^2)/b = z/c] will result in a saddle shape or a hyperbolic paraboloid.
Math Calculus Calculus questions and answers Match the equation with its graph. -x2 + y2- z2 - 1 r k
Figure 2. Graph of the function y = x2, x ∈ [1; 3] Example 2 Condition: Find the highest and lowest values of the function: