MY CART (5)

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   

Please explain in brief the wavy curve method & also solve this ques..

f(x)=(x-2)²(1-x)(x-3)³(x-4)²/(x+1) ≤ 0 find the value of X.

5 years ago

Share

Answers : (8)

                                        

Dear neeraj


f(x)=(x-2)²(1-x)(x-3)³(x-4)²/(x+1) ≤ 0


 (x-2)2 (x-3)2(x-4)2   is always positive


at x=2,3,4   (x-2)2 (x-3)2(x-4)2 is  zero 


so x=2,3,4 is a solution  


 


now for  (1-x)(x-3)/(x+1) ≤ 0


  or        (x-1)(x-3)/(x+1) ≥ 0




 




 


 


 


 


7357-2077_7662_untitled.JPG


so silution is [-1,1] and [3,∞) 


 


so final solution   [-1,1] and [3,∞)  and 2


Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you
the answer and detailed  solution very  quickly.

 We are all IITians and here to help you in your IIT JEE preparation.

All the best.
 
Regards,
Askiitians Experts
Badiuddin

5 years ago
                                        

(-1,1] U [3,∞) U {2}      Smile

2 years ago
                                        

sir,i am unable to understand the solution for the question.please explain clearly

2 years ago
                                        

-(x-2)2 (x-1)(x-3)3 (x-4)2 /(x+1)≤0


(x-2)2 (x-1)(x-3)3 (x-4)2 /(x+1)≥0


equate every linear factor by 0,


x=1,2,3,4,-1


by ploting the values nof x on no line we get,


x Ε (-∞,-1]υ[1,2]υ[3,4]υ[4,∞)


........

2 years ago
                                        

HERE, ON WHAT BASIS IS 2 PLACED IN ANSWER.


AND HOW CLOSE AND OPEN BRACKETS ARE ADDED.


PLEASE HELP ME. FAST.


 


f(x)=(x-2)²(1-x)(x-3)³(x-4)²/(x+1) ≤ 0


 (x-2)2 (x-3)2(x-4)2   is always positive


at x=2,3,4   (x-2)2 (x-3)2(x-4)2 is  zero 


so x=2,3,4 is a solution   


now for  (1-x)(x-3)/(x+1) ≤ 0


  or         (x-1)(x-3)/(x+1) ≥ 0


 7357-2077_7662_untitled.JPG


ans:   (-1,1] U [3,∞) U {2}


HERE, ON WHAT BASIS IS 2 PLACED IN ANSWER.


AND HOW CLOSE AND OPEN BRACKETS ARE ADDED.


PLEASE HELP ME. FAST.

2 years ago
                                        

explain to me: why does the wavy curve method hold?  what is the actual idea behind it?

one year ago
                                        I can answer your question very well, if you want me to; now.

Anukul Sangwan
Class 10
FIITJEE South Delhi
one year ago
                                        xE(-8,-1)U[1.2]U[3,8]
                                        
11 months ago

Post Your Answer

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
dy/dx = (e 2y +y 2 )/y 3
 
 
the given term is ok but what should we do with it? thats not stated
 
Disneykstew 18 days ago
 
its a que from differential que we have to solve it
 
ng29 18 days ago
 
is question statement correct must check it
 
ng29 18 days ago
evaluate the limit in image where [ ] is the greatest integar and | | moduls
 
 
Hello student, Your question is not clear and seems to be incomplete. Please recheck your question and post it again so that I can provide a meaningful answer.
  img
Latika Leekha 23 days ago
Solve lim(x->pi/3) sin(pi/3-x)/(2cosx – 1)
 
 
Ans: Hello Student, Please find answer to your question below It is 0/0 form. Apply L’Hospital
  img
Jitender Singh 8 months ago
if a>0 and x>y the show that a^x+a^-x>a^y+a^-x
 
 
Both the sides contain a common exponenta^x+ a^-x >a^y+ a^-x Eliminate the exponent first. As x>y, and a>0 so a^x>ay...
  img
Ravi 5 months ago
Quito a city in ecuador and kampala a city in uganda both lie on the equator. The longitude of quito is 82 degree 30 minutes west and that of kampala is 37 degree 30 minutes east.what is the...
 
 
Both the points lie on the equator, so forget about the earth. Think of just a equatorial circle. a) Say A is Quito and B is Kampala. Angle subtended by A at the centre of circle = - 82...
  img
bharat bajaj 11 months ago
show that of all the rectangles inscribed in a fixed circle ,the square has the maximum area
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 9 months ago
View all Questions »