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Tutor profile: Nick J.

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Nick J.
Control Systems Engineer with Experience in Engineering Math and Physics
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Questions

Subject: Physics (Newtonian Mechanics)

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Question:

Describe/define Newton's first law of motion and explain how it applies to vehicles in space.

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Nick J.
Answer:

Newton's first law of motion says that in the absence of forces, every body has uniform motion in a constant direction at a constant speed. As it applies to space vehicles, if a vehicle (body) is in space such that any gravitational force is negligible and there are no other forces acting on the vehicle (wind drag, friction, etc.), then the vehicle will continue "drifting" in the directed it started with at a constant velocity.

Subject: MATLAB

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Question:

Compute the mean value of the columns and the rows for the following array without using any loops for computations. A = [0.8147, 0.6324, 0.9575, 0.9572; 0.9058, 0.0975, 0.9649, 0.4854; 0.1270, 0.2785, 0.1576, 0.8003; 0.9134, 0.5469, 0.9706, 0.1419]

Inactive
Nick J.
Answer:

One solution of code is below with the answer following % column means mean(A,1) = 0.6902 0.3888 0.7627 0.5962 % row means mean(A,2) = 0.8404 0.6134 0.3408 0.6432

Subject: Calculus

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Question:

Let f(x) = 1/(1+x). Compute f^(7) (1) (the 7th derivative of x=1.

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Nick J.
Answer:

f^(1) = -1/(x+1)^2 f^(2) = 2/(x+1)^3 f^(3) = -6/(x+1)^4 f^(4) = 24/(x+1)^5 f^(5) = -120/(x+1)^6 f^(6) = 720/(x+1)^7 f^(7) = -5040/(x+1)^8 -> f^(7) (1) = -315/16

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