# Tutor profile: Liu P.

## Questions

### Subject: Mandarin

kě yǐ gěi wǒ fáng mén [key] shì ma?

Obviously, this is Chinese Ping Yin, which will easily speak and pronounce the Mandarin first. If you do not have any idea, do not panic, we can start with it first. For this question, Ping Yin said that: would you please give me my Key of my house. So Key's Ping Yin is yào shì. So the answer is yào.

### Subject: Basic Math

Find the value of x; if x = (2 × 3) + 11

Now we got X= (2 × 3) + 11, so lets first break the bracket that 2 multiply 3 which is 6, and then we could use 6 plus the 11, 6+11= 17. Therefore the value of X is 17.

### Subject: Calculus

Find the Vertical asymptotes of f(x) = tan x

Because we know that tanx = sinx/cosx there are potential vertical asymptotes where cosx = 0. In fact, since cosx belong to 0+ as x belong to (Pi/2)- and cosx belong to 0- as x belong to (Pi/2)+, whereas sinx is positive (and should not near 0) when x is near Pi/2, we have lim tanx= +infinity and lim tanx = - infinity. Hence, this shows that the linex= Pi/2 is a vertical asymptote.

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