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Zirui J.

Tutor for two years

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Mandarin

TutorMe

Question:

What does “不识庐山真面目,只缘身在此山中” mean?

Zirui J.

Answer:

Literal meaning: Why can't I tell the true shape of Lu-shan? because I myself am in the mountains.

Calculus

TutorMe

Question:

Find dy/dx of following: x=cos(t), y=sin(t)

Zirui J.

Answer:

dx/dt = -sin(t) dy/dt = cos(t) dy/dx = (dy/dt)/(dx/dt)= -1/tan(t)

Algebra

TutorMe

Question:

What expression represents f(g(x))? f(x) = x^2 +5x - 6， g(x) = 7x + 8.

Zirui J.

Answer:

In order to determine f(g(x)), g(x) needs to be plugged into f(x): f(g(x)) = (7x+8)^2 + 5(7x+8)-6 = 49x^2+112x+64+35x+40-6 = 49x^2+147x+98

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