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Question
Can you also help me with this one?
Find the length of the curve y=(2/3)x^(3/2) , 0≤x≤3
the formula of arc length is : s=∫sqrt[1+f'(x)^2]dx. Let's
calculate the derivative of f(x) : y=0.6x^1.5 perform Ln for both
sides , we get : Ln(y)=ln(0.6)+1.5Ln(x). Perform derivation with
respect to x to both sides we get : y'/y=1.5/x -->y'=1.5y/x -->
y'=(1.5*0.6*x^1.5)/x --> y'=sqrt(x).
s=∫sqrt(1+x)dx=0.6(1+x)^1.5{x=0-->3}=4.33
alon.
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Answers by Expert:
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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