Homework For Wednesday 1/14

Dear all,

There will be no class today.

Instead, I want you to graph the following equations using wolframalpha.com

2-D

(a) x^2/3^2 + y^2/4^2=1

What shape is the graph? What are the x- and y- intercepts?

(b) x^2/3^2 – y^2/4^2=1

What shape is the graph? What are the x- and y- intercepts?

3-D

(c) x^2/3^2 + y^2/4^2 + z^2/5^2=1

This is called a ellipsoid?

What are the x- and y- and z- intercepts?

(d) x^2/3^2 + y^2/4^2 – z^2/5^2=1

This is called an ellipsoid of one sheet.

What are the x- and y- and z- intercepts?

(e) x^2/3^2 – y^2/4^2 – z^2/5^2=1

This is called an ellipsoid of two sheets.

What are the x- and y- and z- intercepts?

(f) z^2= x^2/3^2 + y^2/4^2

This is called an elliptic cone.

What are the x- and y- and z- intercepts?

(g) z= x^2/3^2 + y^2/4^2

This is called an elliptic paraboloid.

What are the x- and y- and z- intercepts?

(h) z^2= x^2/3^2 – y^2/4^2

This is called a hyperbolic paraboloid.

What are the x- and y- and z- intercepts?

Please print the graphs and submit together with your answers in class on Wednesday.

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