MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 160 off
USE CODE: omar10

				   

if g(x)=max|y^2-xy| (0≤y≤1) then the minimum value of g(x) for real x

4 years ago

Share

Answers : (3)

										

Hi Debdutta,


 


As y is always positive, let us see what happens in these cases


 


1. x>0, in this case we are subtracting a positive term from y^2 and hence possibility of minimum


2. x<0, in this case we are subtracting a negative term from y^2 and hence a possibility for maximum.


 


So we say g(x) = max|y^2 - xy|, x>0 for g(x) = minimum.


 


Now say y lies in (0,1] ie y is not equal to zero. In this case there will always exist a positive x where g(x) is always > 0.


And hence the minimum value will be possibile for x=y, ie the minimum value will be 0.


In case y=0, then g(x) = 0 for all x, and in this case also minimum value is 0.


 


Hence minimum value of g(x) is clearly 0.


 


Hope it helps.


 


Regards,


Ashwin (IIT Madras).

4 years ago
										

sorry mr ashwin by mistake i approved ur ans but the ans is 3-8^1/2 i think u r not considering the word max before mod

4 years ago
										

Hi Debdutta,


 


3-√8 is definitely not the right answer. You could have checked that on your own.


 


I have considered the word MAX in the question.


 


Clearly 0 is lesser than 3-√8, as 3-√8 is a positive number.


So minimum value has to be 0.


If somewhere you have seen the answer to this question as 3-√8, then it is wrong.


(Or else you have not mentioned some condition in the question)


Thanks.


 


Regards,


Ashwin (IIT Madras).

4 years ago

Post Your Answer

Other Related Questions on Differential Calculus

What will will come when we differentiate acceleration
 
 
when we deferentiate the acceleration we get the jerk.
 
RAMCHANDRARAO 11 months ago
 
I`m probably just being a jerk but you didn`t specify what you are differentiating with respect to.If you differentiate acceleration as a function of distance from (say) the moon, you`ll get...
 
rahul kushwaha 2 months ago
 
MR. PRABHAKAR its nothing but “JERK“, and its a sudeen movement if u want an example then when u r travelling in the bus if driver puts a sudden brake there is movement in u i.e, jeRk
 
Dheeru chowdary 11 months ago
what is the differentiation????????????????????????????????????????????
 
 
Dear Sudharashan Packing can be a source of product is called differentiation. This will be usefull in mathematics as well as physics
 
Prabhakar ch 11 months ago
 
hi sudarshan... Differentiation (economics), the making a product different from other similar products. Differentiation (ethnography), the invention of ostensible differences between...
 
mohan 11 months ago
 
hi sudarshan... Differentiation (economics), the making a product different from other similar products. Differentiation (ethnography), the invention of ostensible differences between...
 
manichandra 11 months ago
tell me tricks in calculations??????????????????/////???????????/
 
 
if you may know the shortcuts then you may solve many problems in a fraction of second.so please try to know the shortcuts.
 
N JYOTHEESWAR 11 months ago
 
hi chethan Have someone type in any number between 1 and 900 into the calculator without letting you know what it is. (Actually, this trick will work for numbers greater ...
 
manichandra 11 months ago
 
dear iitian.. there are many skills to calculate calculation....first we have to know the shortcuts then only you have able to the solve problems..............
 
mohan 11 months ago
If alpha is a real root of the equation ax 2 +bx+c and beta is a real root of equation -ax 2 +bx+c. Show that there exists a root gama of the equation (a/2)x 2 +bx+c which lies between...
 
 
 
Ajay 4 months ago
 
Small Mistake in last para posting again..............................................................................................................
 
Ajay 4 months ago
 
We have Similarly, So if P(x) = a/2 x 2 +bx +c, then and are off opposite sign and hence there must exist a root between the two numbers.
 
mycroft holmes 4 months ago
In the listed image can you tell me how beta*gamma = 2 ….. . . .. ??
 
 
The value of gamma is still not correct, either printing mistake or you gave me wrong value. The correct value of gamma is below
 
Ajay 4 months ago
 
Thankyou so much............................. …......................................................................!
 
Anshuman Mohanty 4 months ago
 
Yes sorry..... . . . .it is not so clear.. ok the values are beta = α + α^2 + α^4 and gamma = α^3 + α^5 + α^7
 
Anshuman Mohanty 4 months ago
prove that root 3 is irrational number?
 
 
P and Q are natural numbers, and hence in the prime factorization of P 2 and Q 2 , every prime factor appears to an even power. Now in the equation P 2 =3Q 2 we have a contradiction as LHS...
 
mycroft holmes 3 months ago
 
prove that for all p,q that equation not satisfies. and send post the answer . need proof for that, how do I conclude that is not going to satisfy by directly telling so just post it
 
BHOOPELLY SAIKUMAR 3 months ago
 
WE NEED TO PROVE THAT FOR ALL P,Q SUCH THAT P 2 =3Q 2 DOESN’T EXIST WHERE P,Q BELONGS TO Z. so justify ur answer with proper reason ….
 
BHOOPELLY SAIKUMAR 3 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 1,500 off
USE CODE: omar10

Get extra R 160 off
USE CODE: omar10

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details