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About 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, infinite series & convergence,Divergence & Rotor. Kind of question I can't answer : Economics,Combinatorics,Statistics, & Fractions.

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.

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

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

 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > cal 1

Topic: Calculus



Expert: Alon Mandes
Date: 7/16/2008
Subject: cal 1

Question
a card board box of 32 inches cube in volume with a square base and open top is to be constructed. find the minimum area of cardboard needed(neglect waste)

Answer
Set x as the length or width of the base. We know that the volume
is 32 so the height h=32/x^2 (why?)
Now you can build the Area function S=2x^2+4xh. (why?)
Derive it & set it equal to zero & find x. In order to make sure
that this value gains minimum, derive second time & see if the second
derivative is positive.

Alon.

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