Jonatan V.

Tutoring for over 3 years. Teaching math for high-school students

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Java Programming

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Question:

what will the following program print? static void inc (int i){ i+1} static void main (String [] args){ int i=0; inc (i); System.out.println(i)}

Jonatan V.

Answer:

Will print out 0. the variable i that is incremented is a local variable of the function, while i in main is not incremented.

Calculus

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Question:

what is the defiinition of a differentiable function f:R^2->R

Jonatan V.

Answer:

f is differentiable if for every (x0,y0) in the domain, there exists a linear function T:R^2->R s.t f(x,y) - (f(x0,y0) +T(x-x0, y-y0))/|x-x0,y-y0) goes to 0 as (x,y) goes to (x0,y0).

Algebra

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Question:

What are the eigen values/vectors of the matrix [1 2] [2 1 ]

Jonatan V.

Answer:

eigen values : 3, 1. vectors: (1,1), (1,-1) (respectively)

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