Type in the following into desmos. 12 =D1 49 2) (xcosr-ysinr) 49 (r sin r+y cos ) =1 16 O 1=0 -2T 2x -10 10 1. Explain where the expressions being squared in the red equation come from.
Type in the following into desmos. 12 =D1 49 2) (xcosr-ysinr) 49 (r sin r+y cos ) =1 16 O 1=0 -2T 2x -10 10 1. Explain where the expressions being squared in the red equation come from.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:PART 2: ELLIPSES
Type in the following into desmos.
2
= 1
49
16
(x cosr-y sin )
49
(* sin r+y cos r)
干
=D1
16
O 1=0
-27
2x
to
10
1. Explain where the expressions being squared in the red equation come from.
2. If you haven't done so, adjust the slider t in desmos. Matrix M in the pre-lab is called a rotation
matrix. Isn't that a good name? Explain why the red graph and the blue dotted graph are identical in
the picture.

Transcribed Image Text:3. Move the slider around and observe what happens to the red graph. What do the two elements in
matrix B represent?
4. What value(s) of the angle t make the red ellipse vertical? Explain why this makes sense.
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