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題組內容

1. Fill in the blank with your answer (7 pts each)

(d) Find the indeinite integral xdx. Ans:___________

其他申論題

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?

(a) Find the maximum value of x + y + 3z if x2 + 4y2 + 9z2= 13. Ans:_________

(b) If . Ans:_________

(c) Find the indeinite integraldx.. Ans:__________.

(e) Evaluste the double integral. Ans:__________

(f) Solve the initial-value problem: Ans:_____________

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 ?

3. (10 pts) Determine whether the series is convergent or divergent.

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