Asymptotes of Rational Functions

User Generated

zrfgref2

Mathematics

Description

In photography fixed focal length means that the focal length is not adjustable. Photographers are unable to zoom in and out on a particular subject when using such a lens. Not being able to easily zoom in on a subject might seem like a huge disadvantage. But such lenses are credited with being able to produce much higher quality pictures in controlled settings.

In order for a film camera with a fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a distance y behind the lens. F, y, and x are related as follows

Now suppose a camera has a lens with focal length F = 65.

  1. Explain what happens to the focusing distance y as the object moves far away from the lens.
  2. Explain what happens to the focusing distance y as the object moves closer and closer to the lens.
  3. In general, why is it not possible to cross a vertical asymptote?

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Attached.

Surname 1
Name

Supervisor

Course

Date

Solution

Given that,

Then,

1 1 1
  and F=65
F x y

1 1 1
1
yx
  or

65 x y
65
xy

This now translates to, xy = 65y+65x

xy- 65y=65x

Therefore, y(x...


Anonymous
I use Studypool every time I need help studying, and it never disappoints.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags