Question

Graph the ellipse with equation x squared divided by forty nine plus y squared divided by thirty six = 1

Answer 1

Answer on Question #45107 – Math – Analytical Geometry

Graph the ellipse with equation $x$ squared divided by forty nine plus $y$ squared divided by thirty six = 1

Solution:

Graph the ellipse with equation:

$$\frac{x^2}{49} + \frac{y^2}{36} = 1$$

Ellipse has vertices in points $(-7;0)$, $(7;0)$, $(0, -6)$, $(0, 6)$.

Ellipse was drawn using MAPLE 15:

$$\begin{array}{l} \text{implicit plot} \left( \frac{x^2}{49} + \frac{y^2}{36} = 1, x = -10..10, y = -10..10, \text{title} \right. \\ = \text{"Graph of ellipse", axis} = [\text{gridlines} = [30, \text{colour} = \text{green}, \\ \text{majorlines} = 2]], \text{caption} = \text{typeset} \left( \text{"A plot of", } \frac{x^2}{49} + \frac{y^2}{36} = 1, \right. \\ \left. \text{". "}\right), \text{axes} = \text{normal}, \text{labels} = [\text{"x values", "y values"],} \\ \left. \text{label directions} = [\text{horizontal}, \text{vertical}] \right) \end{array}$$

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