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# Tutor profile: Xinyuan (Christine) Z.

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Xinyuan (Christine) Z.
NYU Junior Student
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## Questions

### Subject:Basic Math

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Question:

48 / 2(9+3)=?

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Xinyuan (Christine) Z.

The question seems simple but is actually not. The answer is 288, but not 1. It's about order of operations in math.

### Subject:Mandarin

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Question:

__ 他比我大一岁， __ 我的辈分比他大。 a. 不但…而且　b. 虽然…可是　c. 因为…所以　d. 既然…那就

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Xinyuan (Christine) Z.

The answer should be B. "他比我大一岁" means "he is one year older than me". "我的辈分比他大" means "my position in the family hierarchy is higher than him." There is a transition, so the answer should be, which is "Although...but...".

### Subject:Calculus

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Question:

A jet accelerates along the runway and takes off. It consumes fuel at a rate of f (t) = t2 /￼(t +1)^3kL per minute. How much fuel does the jet consume in the first 3 minutes?

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Xinyuan (Christine) Z.

By the Evaluation Theorem, the amount consumed from t=0 to t=3 minutes is 􏰅[integration 0 to 3, t^2/(t+1)^3 dt]. We make the substitution u = t + 1 to make the denominator nicer, then we expand. 􏰅[integration 0 to 3, t^2/(t+1)^3 dt] = ln(4)-32/32=0.355 KL

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