3. A curve is given parametrically by: x =8- 4t2 ,y = 2– 8t. a) Write the Cartesian equation of the curve in the form: (y – k)? = 4a(x – h). b) Sketch the curve indicating the vertex, focus and the coordinates of two other points which lie on the curve. 10 Vertex : Focus : Coordinates of two other points: - 10 10 x -1아

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. A curve is given parametrically by: x = 8 – 4t2 , y = 2 – 8t.
a) Write the Cartesian equation of the curve in the form: (y – k)? = 4a(x – h).
b) Sketch the curve indicating the vertex, focus and the coordinates of two other
points which lie on the curve.
1아
Vertex :
Focus :
Coordinates of two
other points:
- 10
10 x
--10
Transcribed Image Text:3. A curve is given parametrically by: x = 8 – 4t2 , y = 2 – 8t. a) Write the Cartesian equation of the curve in the form: (y – k)? = 4a(x – h). b) Sketch the curve indicating the vertex, focus and the coordinates of two other points which lie on the curve. 1아 Vertex : Focus : Coordinates of two other points: - 10 10 x --10
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