Lec - 25 B - Examples of Quadratic Functions

Prof. Neelesh S Upadhye
Department of Mathematics
Indian Institute Of Technology Madras.
Numerical examples and practical examples are taken to show the use of quadratic functions. IIT Madras welcomes you to the world’s first BSc Degree program in Programming and Data Science. This program was designed for students and working professionals from various educational backgrounds and different age groups to give them an opportunity to study from IIT Madras without having to write the JEE. Through our online programs, we help our learners to get access to a world-class curriculum in Data Science and Programming.
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Пікірлер: 34

  • @mani2317r
    @mani2317r2 жыл бұрын

    Every professor at IITM has a very unique skill! If Prof. Madhavan teaches maths intuitively, Prof.Neelesh, teaches maths in a very simple and concise manner. Really enjoying and learning Mathematics with full excitement , for the first time. Thank you Professors and Thank you IITM.

  • @handsome11123
    @handsome11123 Жыл бұрын

    x coordinate is not -3 its +3

  • @SAHEELDESHPANDE-nz1re
    @SAHEELDESHPANDE-nz1re5 ай бұрын

    I think PW has set our standards too high. Not to be mean or anything but this has to be how most college professors teach. Coaching classes have made us expectant for better lectures.

  • @skibidi_universal

    @skibidi_universal

    19 күн бұрын

    Ya spoon feeding ( feels offensive, sorry 😊)

  • @Rynbrurl
    @Rynbrurl Жыл бұрын

    Y sir ka mujhe kuch samaj ku nahi aa raha 😭

  • @oneboneyt
    @oneboneyt Жыл бұрын

    can we also use derivatives and maxima and minima to find the values?

  • @insane4ms529

    @insane4ms529

    Жыл бұрын

    Yes but u need to do double derivative to check maxima or minima

  • @vishnupv6867
    @vishnupv68673 жыл бұрын

    I couldn't understand sir. why have u used x there ? U could could have used 40-4 and 500-10 only, correct?

  • @jvbindhu91

    @jvbindhu91

    Жыл бұрын

    every time 4 rs raised, 10 person decreased, 4up 10 down,8 up,20 down, 12 up 30 down... clearly changes everytime in multiples of 4 and 10.. so 4x and 10x...

  • @devdharma3050
    @devdharma30503 жыл бұрын

    Thank you sir

  • @mukund198
    @mukund1982 жыл бұрын

    How do we get 36k ?

  • @abhinavchaitanya5769

    @abhinavchaitanya5769

    9 ай бұрын

    Substitute 20 in The function .

  • @puneetprasar9576
    @puneetprasar95763 жыл бұрын

    plse sir don't use black background ......

  • @mjmmidhun
    @mjmmidhun2 жыл бұрын

    I do have doubt in that. In the case why 40+4x? we can use 40+x right? i.e. the equation becomes I=(500-10x)(40+x) where x = 4rupees.

  • @saunakroychowdhury5990

    @saunakroychowdhury5990

    Жыл бұрын

    That would mean you are fixing the value of x, but x is a variable not constant. That is x can take any values other than 4

  • @anishsarkar726

    @anishsarkar726

    Жыл бұрын

    Here x denotes the number of times the fare is hiked...and each time the fare is hiked by 4 rupees. So I think the equation that was shown in the video was correct In your case if you take x = 4 that essentially means that the fare is hiked only one time. I.e the function that we will get will be a linear one. Therefore in that case there should be no concept of maximization or minimization. I hope I was clear

  • @insane4ms529

    @insane4ms529

    Жыл бұрын

    No

  • @sibidr

    @sibidr

    9 ай бұрын

    x should be 1 unit, 4 units hike in fare translates to 10 units reduction in passengers. The rest of equation becomes clear.

  • @believer930
    @believer930 Жыл бұрын

    In the example of bus fair... there is written 'a loss of 10 custmers per day for each fair rise'... I think it sholuld be 'a loss of 10 custmers for each fair rise'...per day is not going with the question. Correct me if I am wrong🙏

  • @ManishSingh-tz8dk

    @ManishSingh-tz8dk

    Жыл бұрын

    Please tell me how did this 36000 came to exist please i m a noob

  • @believer930

    @believer930

    Жыл бұрын

    @@ManishSingh-tz8dk its a problem of maximization, find where the value of equation/function becomes maximum.... I recommend watch the video again and then try to solve on your own...solve more such problems for practice...👍

  • @ManishSingh-tz8dk

    @ManishSingh-tz8dk

    Жыл бұрын

    Ok bro

  • @shiva8913

    @shiva8913

    Жыл бұрын

    @@ManishSingh-tz8dk by substituting the value of x=20(we get) in the equation y=-40x²+1600x+20000, then we get y =36000

  • @saunakroychowdhury5990

    @saunakroychowdhury5990

    Жыл бұрын

    True. The per day is there only because initially it used to serve 500 customers per day, now 300 customers per day

  • @toshibalaptop7846
    @toshibalaptop78463 жыл бұрын

    change in y upon change in x

  • @bhavanibalasubramanian6298
    @bhavanibalasubramanian62982 жыл бұрын

    the x coordinate of the vertex in the first example is actually 3 and not -3

  • @ashokchoudhary3789

    @ashokchoudhary3789

    Жыл бұрын

    0:27

  • @techfor-you2886

    @techfor-you2886

    Жыл бұрын

    Correct

  • @AyushKumar-ib3vm
    @AyushKumar-ib3vm3 жыл бұрын

    Not clear😭

  • @ShivamAnandSpeaker
    @ShivamAnandSpeaker Жыл бұрын

    In the first example the value is 3,not -3

  • @HeyyyDeepak
    @HeyyyDeepak29 күн бұрын

    Thanks to everyone whoever suggested to just differetiate it and get the ans. I was really confused with this rubbish lecture.

  • @kajolsingh2434
    @kajolsingh24343 жыл бұрын

    Great sir

  • @heisenberg_780
    @heisenberg_780 Жыл бұрын

    Man what a boring lecture

  • @VasanthSm-rj8rr

    @VasanthSm-rj8rr

    Ай бұрын

    HAVE YOU CLEARED QUALIFER