AboutAlon 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".
Find the volume of the solid obtained when the region bounded by the curves
y=2x-x^2 and y=x^2-2x is rotated about the y-axis.
Answer We will use the 'shell' method : V=2π∫xf(x)dx. Our region is
composed of two semitric functions, so the area under x-axis
concerning(x^2-2x) is the same the area above the x-axis concerning
(2x-x^2). So, we can calculate the volume of the above area & multiply by 2 to get the total volume. (chick it!)
V=2π∫x(x^2-2x)dx, while x goes from 0 to 2.
I'll leave it to to proceed. Any problems, I'm here.
