Click to Chat

0120-4616500

CART 0

• 0

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
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off
USE CODE: SSPD25

```				   Hi,
Can someone help me solve this question. I wrote IIT JEE2001 and passed. But I am unable to solve this question now :(. I was trying out questions for nostalgic reasons.

Let f(x), x > 0, be a non-negative continuous function, and
let F(x) = ∫0x f(t) dt, x > 0. If for some c                 > 0, f(x)  < cF(x) for all x > 0,
then show that f(x) = 0 for all  x > 0.
```

6 years ago

Share

```										Dear Ram ,
visualise it in terms of graphs. f(x) is nonnegative continuous function means graph will be on or above the x-axis. now , F(x) is just area under the curve upto the point x.  so , F(x) >= f(x) as area is always greater than the funciton itself.  i think you have mistyped the relation f(x)  < cF(x) ,   f(x) > cF(x) as then actually f(x) = F(x)  = 0   for any c

Please   feel free to post as many doubts on our discussion forum as  you  can.   We are all IITians and here to help you in your IIT JEE   preparation.    Now you can win exciting gifts by answering  the questions on Discussion    Forum. So help discuss any query on  askiitians forum and become an   Elite  Expert League askiitian.

```
6 years ago

# Other Related Questions on Differential Calculus

out of 2^1/2 and 3^1/3 which is greater

Take log on both sides, you will get ½ * log2 and 1/3 * log3. If you put values of log2 and log3, you will get 1/3 * log3 > ½ * log 2.

 Akshay one year ago
differentiate (x+2)sin3x/ x 3 +cot 2 x with respect to x

Dear Student, In this problem you will need to use the formula for differentiation of two functions in division i.e. d/dx (1/2) = 2(d/dx (1)) – 1 (d/dx(2)) / (2 2 ) . Also you need to...

 Vijay Mukati 7 months ago

) . Also you need to apply chain rule simultaneously.Thanks.or 2 n this problem you will need to use the formula for differentiation of two functions in division i.e. d/dx (1/2) = 2(d/dx...

 siva prasad reddy 7 months ago

Hint: Frst find the value of d 2 y/dt 2 and d 2 x/dt 2 then divide these two values to get d 2 y/dx 2 . Then finally put t = 0. Thanks.

 Vijay Mukati one year ago
some ether is added in an aqueous solution of LiCl, NaCl and AlCl3. which of the following is extracted in ether

@ VANSH mostly aquaous solution of alkali hallides are extracted when ethers are added . so, in this case alcl will be eliminated . the answer turns out to be licl and nacl . but if the...

 2017 years ago
Why we consider speed as a scalar quantity, as while describing speed we know that an object is moving with a particular speed in some direction? It cannot happen that an object moving with ...

Scalar physical quantities are following physics laws and having magnitude ONLY.. Speed is just the rate of conversion of distance travelled, not associated with any concept of direction.....

 Saurabh Kumar one year ago

hi Scalar physical quantities are following physics laws and having magnitude ONLY.. Speed is just the rate of conversion of distance travelled, not associated with any concept of...

 Ankit Jaiswal 8 months ago
IF a+b+c=6 and a b c are positive real no. prove that 1/(6-a)+1/(6-b)+1/(6-c) is greater than equal to3/4

Setting (6-a) = x, (6-b) = y, (6-c) = z, we have x+y+z = 12, x,y,z>0 From AM-GM we have which means The explanation for the inequality cited above can be found online or do let me know in...

 mycroft holmes 3 months ago

Very nice explanation hsbhatt sir

 jagdish singh singh 3 months ago

 jagdish singh singh 3 months ago
View all Questions »

• Complete JEE Main/Advanced Course and Test Series
• OFFERED PRICE: R 15,000
• View Details
Get extra R 3,750 off
USE CODE: SSPD25

Get extra R 400 off
USE CODE: SSPD25

More Questions On Differential Calculus