2.A jogging path is in the shape of an ellipse. If it is 120 f long and 40 ft wide, whatis the width of the track 15 A from either vertex?Answer 26.46 fAtRadiation is focused on an unhealthy area in a patient's body using a semiellipticalreflector, positioned in such a way that the target area is at one focus while the source ofradiation is at the other. If the reflector is 100 cm wide and 30 cm high at the center, howfar should the rradiation source and the target area be from the end of the reflector?Answer 10cm away from an end of the reflector3.A doorway is in the shape of a rectangle capped by a semi-ellipse. If the rectangle is1m wide and 2 m high while the ellipse is 0.3 m high at the center, can a cabinet that is226 m high, 05 m wide, and 2 m long be pusbed through the doorway? Assume that thecabinet cannot be land down on its side4.Answer The height is 2.2598m The cabinet cannot be pushed through the doorway5. A flashlight is shaped like a parabolcid and the light source is placed at the focus so thatthe light bounces off parallel to the axis of symmetry, this is dene to maximize illumina-ticn A particular flashlight has its light source located 1 cm from the base and is 6 crdeep. What is the width of the flashlight's opening?mAnswer 9.8 cmote,

Hey, since there are multiple questions posted, we will answer first question. If you want any…

Answered: 2. is the width of the track 15 a from…

2. is the width of the track 15 a from esther vertex? A jogging path is in the shape of an ellipse. If it is 120 A long and 40 A wide, what Answer 26 46 t

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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Concept explainers

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.

Question

2.
A jogging path is in the shape of an ellipse. If it is 120 f long and 40 ft wide, what
is the width of the track 15 A from either vertex?
Answer 26.46 fAt
Radiation is focused on an unhealthy area in a patient's body using a semielliptical
reflector, positioned in such a way that the target area is at one focus while the source of
radiation is at the other. If the reflector is 100 cm wide and 30 cm high at the center, how
far should the rradiation source and the target area be from the end of the reflector?
Answer 10cm away from an end of the reflector
3.
A doorway is in the shape of a rectangle capped by a semi-ellipse. If the rectangle is
1m wide and 2 m high while the ellipse is 0.3 m high at the center, can a cabinet that is
226 m high, 05 m wide, and 2 m long be pusbed through the doorway? Assume that the
cabinet cannot be land down on its side
4.
Answer The height is 2.2598m The cabinet cannot be pushed through the doorway
5. A flashlight is shaped like a parabolcid and the light source is placed at the focus so that
the light bounces off parallel to the axis of symmetry, this is dene to maximize illumina-
ticn A particular flashlight has its light source located 1 cm from the base and is 6 cr
deep. What is the width of the flashlight's opening?
m
Answer 9.8 cm
ote,

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