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Calculus/Re: Calculs question

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Expert: Alon Mandes - 7/28/2009


Question

calculs
Hi prof, my name is attir i have one question that is attached as a image file please solve this thnks.

Answer

drawing
π/4
∫ Cos[x] dx Is the area under the graph that is bounded by the 4 set of points :
π/6

{ (π/6,0) , (π/4,0) , (π/6,√3/2) , (π/4,√2/2) } . See the drawing attached .
Let's denote this area as A . It's clear that A > (π/4-π/6)*√2/2 . & it's also clear that
A < (π/4-π/6)*√3/2 . Remember that (π/4-π/6)=π/12 is the base of the rectangular .
Hence,
(π/12)*√2/2 < A < (π/12)*√3/2 . Which can be also written as :
(π√2/24) < A < (π√3/24) . Q.E.D

Alon.

Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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