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110年 - 110 國立清華大學碩士班考試入學試題_科技管理研究所/乙組:微積分#105239
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題組內容
1. Fill in the blank with your answer (7 pts each)
(a) Find the maximum value of x
+ y +
3z if x
2
+ 4y
2
+ 9z
2
= 13. Ans:_________
其他申論題
2. Give a brief discussion of the real business cycle theory.
#446259
3. Explain the uncovered interest rate parity.
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4. Because of the existence of price stickiness, money is nonneutral in the Keynesian model. Describe the sources of price stickiness and elaborate the link between price stickiness and nonneutality of money.
#446261
5. Assume prices are sticky and that the aim of monetary policy is to stabilise GDP. How does the central bank set interest rate when the economy is hit by recession caused by the fall in consumer confidence?
#446262
(b) If . Ans:_________
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(c) Find the indeinite integraldx.. Ans:__________.
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(d) Find the indeinite integral xdx. Ans:___________
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(e) Evaluste the double integral. Ans:__________
#446267
(f) Solve the initial-value problem: Ans:_____________
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2. (9 pts) For what values of the constants a and b is a point of infection of the curve y = an + bsin g + cos x ?
#446269