Calculus/Summation

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Question
problem
problem  
QUESTION: Dear Sir, please help me. Thank you. These is a question about summation. Thank you.

ANSWER: Hello Josephine,
The ∑ is only a summing indicator to tell us what to sum & till when .

3
∑   3x(i)  = 3x(1)+3x(2)+3x(3) = 3*6+3*3+3*7 = 48 .
i=1


Alon.

---------- FOLLOW-UP ----------

Summation
Summation  
QUESTION: Thank you so much for the help sir. May I ask for another one? How do I write this in summation? x3+x4+X5+x6? I also have another one in the image. Thank you so much.

Answer
(a)
x3+x4+X5+x6 =

6
∑  xi
i=3

(b)
5
∑  x(i)y(ii) = x(1)y(11)+x(2)y(22)+x(3)y(33)+x(4)y(44)+x(5)y(55) .
i=1

Its important to notice that y(11) is an index of a matrix ("colom 1 , row 1") while x(1)
is 1 dimensional vector !!

Alon.

Calculus

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Alon Mandes

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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 .

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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".

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M.A in Mathematics & Bs.c in Electronics.

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