23 June...

Passage:
Curve f(x)=a(x-1)5+b(x-1)4 has 2 identical critical points . b is the constant number satisfying inequality √b+1>b√2.Also limit
lim [ 5ymax-b5 - 25.mod(b) ]
b→0 sin5b 25.a2.sinb

exists and is equal to L

Q1 if u and v are integers thne no. of possible ordered pairs (u,v) which will satisfy the equation (v+1)(u-1)=L
Q2 If b is positive ,and max value of f(x)=kb5/(55.a4), then find k

8 Answers

24
eureka123 ·

Q3 Find the value of \oint_{0}^{L}{\frac{f(\left| x+5\right|)}{f(\left| x-2\right|)+f(\left| x-5\right|)}}dx

sorry it is not closed integal...its just plain definte integral..

24
eureka123 ·

Q4If a =b,then the area bounded by f(x) and X axis is equal to ????/

24
eureka123 ·

IT is a very good question...i bet no one can solve it within 10 minutes.....

9
Celestine preetham ·

no u will lose that bet :P

3
iitimcomin ·

bhai woh lim theek se nahi dikh raha ........ latex yse karo na ........... or pls rite in words :(((

3
iitimcomin ·

the limit which i see cant exist !!![second term]

LHL |b|/sinb = -1

RHL |b|/sinb = +1 !!!!!!!!!!!!!!!!!!!!!!!!!!

this cant be happening

3
iitimcomin ·

Q4 0?????

24
eureka123 ·

anyone after this ??

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