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6. If is the Taylor polynomial of order 4 generated by at 0, then the constant in front of x⁴, c₄=(6).

其他申論題

2. Ifg(x)=x(ex2),then g'(x)=__(2)__.

3. The valuc of is__(3)__.

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

9. The domain ofis__(9)__.

10. If f(x)=x+cosx,then=__(10)__.

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

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 of ex-y =2x2-y2equals__(3)__.

4. The value of equals__(4)__.

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