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Ques1) Let g(x) = {log(1+x)} -1 - x -1 , where x>0, then (a) 1 Ques2) Show that the interval in which x3 increses more rapidly than 6x2+15x+5 is (5,infinity). Ques3) If f(x)=x/sinx and g(x) = x/tanx where 0 Ques4) If tan(pie cos @) = cot (pie sin@) where 0 sin@) ) x , then find the interval in which f(X) is inc and dec. Ques5) Using L.MV.T theorm, prove that x - (x3/6) , sinx , x where 0

Ques1)  Let g(x) = {log(1+x)} -1  - x-1  , where x>0, then  (a) 1

Ques2) Show that the interval in which x3 increses more rapidly than 6x2+15x+5 is (5,infinity).


Ques3) If f(x)=x/sinx  and g(x) = x/tanx where 0

Ques4) If tan(pie cos @) = cot (pie sin@) where 0 <@sin@) ) x , then find the interval in which f(X) is inc and dec.


Ques5) Using L.MV.T theorm, prove that  x - (x3/6) , sinx , x where 0 < x ≤ pie/2

Grade:12

1 Answers

Askiitian.Expert Rajat
24 Points
12 years ago

Hi, The answer to Q2) is as follows:

Please post seperate questions in seperate posts,

Regards,

Rajat

Askiitians Expert

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