複選題
二. 選擇題(可複選)： 

6. 下列敘述何者錯誤：
(A) 若二維空間中，一區域D面積為 0，則。
(B) 若D = D₁ ∪ D₂，則 。
(C) 對任意區域D，+ 。
(D) 若D = {(x, y): −1 ≤ x ＜ 0, −1 ≤ y ＜ 0}，則。

複選題7. 下列何者為奇函數(odd function)：(A) sin(x) (B) x3 (C) 0 (D) (sin x) 2

複選題8. 下列敘述何者正確： (A) 若函數f(x)為奇函數，則。 (B) 若函數g(x)為偶函數(even function)，則 。 (C) 承A、B，則。 (D) 承，若f(x)為一可導函數，則其導數亦為奇函數。

9. 下列有關數列之敘述，何者為非： (A) 若d ∈ ?為一實數，且，則。 (B) 若，且，則。 (C) 已知函數sin(xπ)，若x → ∞其極限不存在，則數列sin(nπ)亦不收斂。 (D) 已知函數sin(π/x)，若x → ∞其極限存在(收斂至 0)，則數列sin(π/n)亦收斂。

10. 下列何級數發散： (A) (B) (C) (D)

1. If I get 10 units of pleasure from my first ice cream cone and 2 less units than before from each succeeding cone, I will buy ____ cones and gain _____ units of consumer surplus if the price of a cone is equal to 5 units of pleasure. (A) 4； 28 (B) 6； 30 (C) 2； 18 (D) 3； 9

2. Say the demand curve for cigarettes was given by Q = 164 - 0.38P. When P = 20, a further increase in the price will (A) increase total revenue. (B) decrease total revenue. (C) leave total revenue the same. (D) we can't answer with the information given.

3. Comparing the income effects between salt and housing, the (A) income effect for salt will be greater. (B) income effect for housing will be greater. (C) two income effects will be about the same. (D) two income effects will be in the opposite direction.

4. Which of the following gambles should be considered more attractive? (A) If heads, you win $200； if tails, you lose $198. (B) If heads, you win $5； if tails, you lose $10. (C) If heads, you win $6； if tails, you lose $4. (D) If heads, you win $9； if tails, you lose $6.

5. When Jeff bought a house he also bought homeowners insurance, but when he bought a new dishwasher he refused to buy the repair insurance policy the store offered. Assuming Jeff is rational in his choices, which of the following is the most likely cause of his behavior? (A) He switches back and forth between risk averse and risk loving preferences. (B) He doesn't trust appliance insurers because they have no agent to relate to. (C) The probability of his house burning is greater than the probability a dishwasher failure. (D) The expected loss from dishwasher failure is less than the insurance premium and he can afford to absorb smaller losses.

6. Suppose you have been assigned to complete a group project with one of your classmates. Each of you can choose to Shirk or Work. If one or more of you chooses to Work, the project is completed and provides each with extra credit valued at 4 payoff units each. The cost of completing the project is that 6 total units of effort (measured in payoff units) divided equally among all players who choose to Work and this is subtracted from their payoff. If both of you Shirk, then neither of you have to expend any effort but the project is not completed, giving each a payoff of 0. The teacher can only tell whether the project is completed and not which students contributed to it. What is the dominant strategy for you? (A) Work (B) Shirk (C) There is no dominant strategy. (D) Work if your friend also works.

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