INSTRUCTION Sketch the graph and label all the parameters. Determine all the necessary parameters A. Center B. Foci C. Ends of Latus Rectum D. Standard Equation E. General Equation 1. An ellipse is defined by parametric equations as follows: x= 5 sin (b) y= 7 cos (b) 2. Find the equation of the focus of points P(x, y) whose sum of its distances from the two fixed points (4,-2) and (-2,2) is equal to 8. 3. Determine the equation of the ellipse centered at (0,0) knowing that one of its vertices is 8 units from a focus and 18 units from the other.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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INSTRUCTION Sketch the graph and label all the parameters. Determine all the necessary parameters A. Center B. Foci C. Ends of Latus Rectum D. Standard Equation E. General Equation 1. An ellipse is defined by parametric equations as follows: x= 5 sin (b) y= 7 cos (b) 2. Find the equation of the focus of points P(x, y) whose sum of its distances from the two fixed points (4,-2) and (-2,2) is equal to 8. 3. Determine the equation of the ellipse centered at (0,0) knowing that one of its vertices is 8 units from a focus and 18 units from the other.
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