f(x)= sinx-cosx+2^1/2 whole divided by x^3/2 where x belongs to[Π/4,5Π/4].let m the minimum value of f(x) and M be the max value of f(x).then [2M/5m] where [.] denotes greatest integer function

2 years ago

Share

Answers : (1)

                    

Hi Debadutta,


 


The given expression is


S = [√2*sin(x-Π/4) + √2] / x3/2 = √2 [sin(x-Π/4) + 1] / x3/2


 


Note that (x-Π/4) ε [0,Π].


So clearly S is maximum when x=Π/4, and minimum when x=5Π/4.


 


So now you can find what [2M/5m] will be.


 


Regards,


Ashwin.

2 years 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
multiple choice correct type: if y = f(x)=x+2/x-1 then options:a-f(1)=3 b-y is increasing with x for x less than 1 c-f(y)=x d-f is a rational function of x. not able to click option c and d...
 
 
Ans: Hello Student, Please find answer to your question below f(x) ia an rational function of x.
  img
Jitender Singh 2 days ago
Value of x in the following –
 
 
Image is attached
 
Drake 29 days ago
dy/dx + y(1-x)x 1/2 =1-x 1/2 what is the integrating factor and solution for this problem?
 
 
sorry der’s just alittle mistake dy/dx+y/(1-x) x ½ =1 - x 1/2
 
vishakha 3 days ago
how can we say that equilateral triangle is a subset of a triangle in a plane?
 
 
Definition of triangle in a plane : <A+<B+<C=180, <A,<B,<C any real no,. greater than zero. And in case equilateral triangle <A=<B=<C=60 so it is also following...
  img
Sher Mohammad 2 months ago
what is a scalar vector
 
 
Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction. A related...
  img
Saurabh Singh 5 months ago
 
Scalar Quantities Most of the physical quantities encountered in physics are either scalar or vector quantities. A scalar quantity is defined as a quantity that has magnitude only. Typical...
 
Indu 4 months ago
 
which has only magnitude
 
jogiraju 4 months ago
The given figure shows a regular hexagon PQRSTU. Find the value of vector PQ + vector PR + vector PS+ vector PT + vector PU.
 
 
Hello Student, PQ PR=PQ+QR PS=PQ+QR+SR=PR+SR PT=PQ+QR+SR+ST=PS+ST PU=PQ+QR+SR+ST+TU=PT+TU Adding we get =>QR+SR+ST+TU=QU If you give options we'll be able to format the answer in your...
  img
Arun Kumar one month ago
View all Questions »