IV. Essay Writing 
Directions: Sub-replacement fertility (少子化) is becoming a serious problem in Taiwan and has indirectly led to several college closedowns. Write an English essay (at least 300 words) to discuss possible causes and solutions.

III. Short Essay Writing Directions: Recently, some murder cases in Taiwan have again turned people's attention to the issue of death penalty. Do you think that death penalty should be abolished in Taiwan? Write an English essay (at least 300 words) to express your opinion.

IV. Short Essay WritingDirections: Read carefully the below passage about a controversial issue--the legalization of same-sex marriage in Taiwan. Then write a well-organized short essay of approximately 300 words in English as your response to this passage. (Writing competency 40%, argumentation 30%, organization 30%)In May 2019 Lawmakers in Taiwan had approved a bill legalizing same-sex marriage, a landmark decision that makes the self-ruled island the first place in Asia to pass gay marriage legislation.The vote came almost two years after the island's Constitutional Court ruled that the existing law-which said marriage was between a man and a woman - was unconstitutional. The panel of judges gave the island's parliament two years to amend or enact new laws.Then, only a week off the two-year deadline -- lawmakers in Taiwan's Legislative Yuan passed a bill making same-sex marriage a reality--"It will go into effect on May 24, 2019."

1.Write a summary of the article (200-300 words).

2. According to the article, what is the author's answer to the question "Is language unique to humans"? Do you agree with the author's answer? Explain.

1. (15%) We want to analyze the circuit of Fig. 1 to determine the collector voltage Vc, collector current Ic, and emitter voltage VE. The minimum value of β is specified to be 30. (5%*3)

2. (25%) As shown in Fig. 2, a bipolar differential amplifier utilizes a current source (i.e., a single CE transistor Q5) to supply a bias current 240 µA, and current-source loads formed by pnp transistors (Q3and Q4). For all transistors, β = 100 and early voltage |VA| = 10 V. Find (a) gm of Q1, (b) differential gain Ad, (c) input resistance of differential mode Rid and common mode Ricm, (d) CMRR(dB) if the two load transistors exhibit a 1% mismatch in their ro. Thermal voltage is 25 mV. (5%*5)

(a) Find the overdrive voltage Vov and gm of Q1.

(b) Find the differential gain Ad and common mode gain Aicm if the drain resistors have 1% mismatch.

(c) If the input signal source has a small resistance Rsig and thus the frequency response is determined primarily by the output pole, estimate the 3-dB frequency fH.

(d) If, in a different situation, the amplifier is fed symmetrically with a signal source of 20 kΩ resistance (i.e., 10 kΩ in series with each gate terminal), use the open-circuit time-constants method to estimate fH. (5%*6)

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