Question #46876

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

Expert's answer

Answer on Question #46876 – Math – Analytic Geometry

Graph the ellipse with equation xx squared divided by forty nine plus yy squared divided by thirty six = 1

Solution:

Graph the ellipse with equation:


x249+y236=1\frac{x^2}{49} + \frac{y^2}{36} = 1


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

Ellipse was drawn using MAPLE 15:


implicit plot(x249+y236=1,x=10..10,y=10..10,title="Graph of ellipse", axis=[gridlines=[30,colour=green,majorlines=2]],caption=typeset("A plot of", x249+y236=1,\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. \\ \end{array}". "), axes = normal, labels = ["x values", "y values"],label directions = [horizontal, vertical]\begin{array}{l} \text{". "), axes = normal, labels = ["x values", "y values"],} \\ \text{label directions = [horizontal, vertical]} \\ \end{array}


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