Monotonicity

Question

Ques1) Let g(x) = {log(1+x)} -1 - x-1 , where x>0, then (a) 1<g(X)<2 (b) -1<g(x) <0 (c) 0<g(X)<1 (d) none of theseQues2) 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<x&le;1 ,then show that f(x) is inc whereas g(x) is dec.Ques4) If tan(pie cos @) = cot (pie sin@) where 0 <@<pie/2 and f(x) = (cos@ + 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 &le; pie/2

Askiitian.Expert Rajat · Accepted Answer

Hi, The answer to Q2) is as follows:Please post seperate questions in seperate posts,Regards,RajatAskiitians Expert

Differential Calculus> Monotonicity...

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

Tushar Watts , 15 Years ago

Askiitian.Expert Rajat

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the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution tomove once over to level a playground. find the area of the playground in square m?

differential calculus

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differential calculus

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differential calculus

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differential calculus

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus

Differential Calculus> Monotonicity...

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

Tushar Watts , 15 Years ago

Askiitian.Expert Rajat

Provide a better Answer & Earn Cool Goodies

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Other Related Questions on differential calculus

the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution tomove once over to level a playground. find the area of the playground in square m?

differential calculus

Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.

differential calculus

If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.

differential calculus

Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.

differential calculus

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.

differential calculus