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II. (50 points) Fill in the following blanks.
1. If the integral and c≥0,then the value of c equals (1).

其他申論題

5.Write down the range of a, which makes the series converge.__(5)__.

6. lf is the Taylor polynomial of order 4 generated byat 0, then the constant in front of x4, c4=__(6)__.

9. The domain of is__(9)__.

10.lf f(x)=x+cosx,then (f-1)'(1)=__(10)__.

2. The area of the region bounded by the curves x=1-y2 and x=y2-1 is__(2)__.

3. The slope of the tangent line at the point (1, 1) on the graph ofequals__(3)__.

4. The value ofequals__(4)__.

5. The function f(x,y)=2x3+6xy2-3y3-150x has four stationary points. Among the four, the two saddle points are__(5)__.

(一)分紅入股制度(Profit Sharing and Stock Ownership System)

(二)彼得原理(Peter Principle)

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