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Tutor profile: Jose G.

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Jose G.
Math and Physics Tutor at Texas A&M University
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Questions

Subject: Physics (Newtonian Mechanics)

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Question:

The position of a particle is given by x(t) = 2t^2+3t Find the velocity and acceleration of the particle when t=1

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Jose G.
Answer:

v(t) = dx/dt = 4t +3 a(t) = dv/dt = 4 At t=1, velocity is 7 and acceleration is a constant 4.

Subject: Physics (Electricity and Magnetism)

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Question:

Find the potential difference between the points x=1 and x=3, assuming there's an electric field as a function of position given by E = 1/x^2.

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Jose G.
Answer:

Potential difference is defined as the negative integral of the electric field. V(3) - V(1) = -int(1/x^2) = 1/x with limits 1 and 3 = 1/3-1 = -2/3

Subject: Calculus

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Question:

Find the equation of the line tangent to the curve y = x^2 at the points (1,2)

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Jose G.
Answer:

dy/dx = 2x dy/dx at x=1 is equal to 2 Equation of line: y-yo=m(x-xo) y-2=2(x-1) y=2(x-1) + 2

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