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Calculus/BC Calculus Optimization & Differentials Problem

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Expert: Alon Mandes - 11/30/2009


Question
What is the area of the largest rectangle that can be inscribed under the curve where x is in the interval [-pi/2, pi/x]?

Answer
If we assume that the curve has a function : y=f(x) , where f(-pi/2)=f(pi/2) then,
S(x)=2x*f(x) .
to find maximum we derive :
S'(x)=2f(x)+xf'(x)
To find x we solve : S'(x)=0 --> 2f(x)+xf'(x)=0 .

Since the function y=f(x) is not given then I will leave it in general .

Alon.

Calculus

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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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