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
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.
x coordinate is not -3 its +3
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
19 күн бұрын
Ya spoon feeding ( feels offensive, sorry 😊)
Y sir ka mujhe kuch samaj ku nahi aa raha 😭
can we also use derivatives and maxima and minima to find the values?
@insane4ms529
Жыл бұрын
Yes but u need to do double derivative to check maxima or minima
I couldn't understand sir. why have u used x there ? U could could have used 40-4 and 500-10 only, correct?
@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...
Thank you sir
How do we get 36k ?
@abhinavchaitanya5769
9 ай бұрын
Substitute 20 in The function .
plse sir don't use black background ......
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
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
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
Жыл бұрын
No
@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.
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
Жыл бұрын
Please tell me how did this 36000 came to exist please i m a noob
@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
Жыл бұрын
Ok bro
@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
Жыл бұрын
True. The per day is there only because initially it used to serve 500 customers per day, now 300 customers per day
change in y upon change in x
the x coordinate of the vertex in the first example is actually 3 and not -3
@ashokchoudhary3789
Жыл бұрын
0:27
@techfor-you2886
Жыл бұрын
Correct
Not clear😭
In the first example the value is 3,not -3
Thanks to everyone whoever suggested to just differetiate it and get the ans. I was really confused with this rubbish lecture.
Great sir
Man what a boring lecture
@VasanthSm-rj8rr
Ай бұрын
HAVE YOU CLEARED QUALIFER