# Tutor profile: Dennis W.

## Questions

### Subject: Mandarin

Read the following passage and answer the following question with True or False. TRADITIONAL 美小姐和紅先生認識六個月了。他們在同一個學校學中文。美小姐覺得紅先生又聰明又帥。美小姐早就想約了紅先生去看電影，可是，美小姐不知道紅先生對她的印象怎麼樣。所以，請紅先生出去看電影讓美小姐很緊張。 SIMPLIFIED 美小姐和红先生认识六个月了。他们在同一个学校学中文。美小姐觉得红先生又聪明又帅。美小姐早就想约了红先生去看电影，可是，美小姐不知道红先生对她的印象怎么样。所以，请红先生出去看电影让美小姐很紧张。 True/False: 美小姐最近請紅先生去看電影了。 美小姐最近请红先生去看电影了。

False 美小姐 has wanted to ask 紅先生 to see a movie with her for a long time, but she has not actually asked him yet.

### Subject: Calculus

Find the derivative of $$ h(z) = (1+2z+3z^{2})(5z+8z^{2}-z^{3}) $$

By using the product rule, you get: $$ h'(z) = (2+6z)(5z+8z^{2}-z^{3}) + (1+2z+3z^{2})(5+16z-3z^{2})$$ Then, multiply everything out to get the following result: $$ h'(z) = 5 + 36z + 90z^{2} + 88z^{3} - 15z^{4} $$

### Subject: Algebra

Solve the equation: $$ -5x + 20 = 25 $$

To get to the solution, we want to isolate $$ x $$ on one side. In order to do so, we must first subtract $$ 20 $$ from both sides. Now, this gives us: $$ -5x = 5 $$. Next, we divide both sides by $$ -5 $$. This gives us $$ x = -1 $$.

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