CALCULUS

If you could give an explenation with the answers, that'd be wonderful so I actually know how to solve similar problems in the future. :) Thank you so much!

1. A convex lens with focal length f centimeters will project the image of an object on a point behind the lens. If an object is placed a distance of p centimeters from the lens, then the distance q centimeters of the image from the lens is related to p and f by the lens equation: 1/p + 1/q = 1/f

A. If the focal length of the convex lens is supposed to be 5 cm, and if the image is formed 7 cm from the lens, find the distance, p, from the lens to the object. (It’s not necessary to simplify your answer.)

B. Find an expression that gives q as a function of p, assuming that the focal length is a constant of 5 centimeters.

C. Sketch a graph of q as a function of p (i.e., q(p)), assuming that the focal length is a constant of
5 centimeters. Show any important features of the graph.

D. Find lim p->infinity q(p) and lim p->5+ q(p). What do these limits represent physically? What must happen to the distance of the image and the object?

  1. 👍 0
  2. 👎 0
  3. 👁 1,127
  1. You have the equation -- just plug in the numbers.

    1/p + 1/7 = 1/5
    1/p = 1/5 - 1/7
    1/p = 2/35
    p = 35/2

    1/p + 1/q = 1/5
    1/q = 1/5 - 1/p
    1/q = (p-5)/5p
    q = 5p/(p-5)

    The above is just algebra I, you know.

    any online graphing site can do this. Try wolframalpha.com

    limit as p->infinity = 5
    limit as p->5 = infinity
    parallel rays converge to the focal length (their origin is at infinity)

    1. 👍 2
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    Please check my answers I don't need for you to give me answers just say yes or no if they are all correct TY 1. X-6=8 A. X=-2 B. x=2 C. X=-14 D. X=14🔹🔹🔹 4. -2c=-18 A. c=-9🔹🔹🔹? B. c=-36 C. c=9 D. c=36 5. 2/3x=6

  2. Math

    Lesson 10: Quadratic Functions and Equations Unit Test answers part 1 I’m from Connexus I have 21 questions and I would really appreciate if someone could give me the right answers sometime the tests are changed a bit so maybe

  3. math

    Can someone give the answers for lesson 9 unit 3 connexus math unit test, grade 9? I know I won't get the answers in time, but I was hoping someone would see this topic and get the answers from it.

  4. Energy of motion unit test

    If you know this assessment then i will give you the answers, this is 2020 answers. For science 8th. A A B B C C D D A D *your own answer* *your own answer* Ik the fact the first few are aabbccdd and that kinda sus but those are

  1. Math

    Please Check My Answer I don't know if they are right or wrong and if they are wrong can u give me the correct answers. ? Thanks PS: The answers are the * one's. 1) 2/3 = 12/x x= 18 x= 12 x= 36 x= 8 **************** 2) 6/11 = 84/x

  2. Jiskha

    The other day I was on this site and my sister saw me. She told me to never go on this site, and she was accused of cheating off of it before. I told her that cheating is prohibited on Jiskha(and that Jiskha doesn't give answers,

  3. Science

    How does the tilt of Earth’s axis and its movement around the sun play a part in the changing of the seasons in the Northern Hemisphere? Please don't give me the answer, it's just that my teacher isn't currently avalible. Could

  4. Statistic

    A quiz consists of 10 multiple-choice questions. Each question has 5 possible answers and only one of them is correct. A student has not studied for the quiz and will pick his answers randomly. 1)Define the random variable x that

  1. Language arts

    The giver Choose the statement that best explains the meaning of the following passage: But now, with twelve coming so soon, and the volunteer hours ending, it didn't seem to meter. The freedom to choose where to spend those hours

  2. math

    come on give the answers

  3. History- check my essay!

    Can someone tell me what they think of what I wrote? Here is the question and my answer: (This homework question was removed due to a copyright claim submitted by K12 Inc.) Answer: Winston Churchill, a strong leader who told it

  4. Science

    2.Why are biologists concerned about ecosystem disruption? 1.Explain the process of succession. Succession is a natural change in the area that results in one group of plants replacing a group before. for #1 that is all I have so

You can view more similar questions or ask a new question.