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題組內容

請詳述計算過程與理由，僅寫答案者不予計分

5. Find the extreme values of on the region described by the inequality:

其他申論題

1. For what value of the constant c is the function g continuous on (-∞,∞)?

2. Find the first derivative of the following function:

3. Show that the geometric series converges if and derive its sum. converges if |r|<1 and derive its sum.

4. Show that does not exist.

6. Find the area enclosed by the line and the parabola .

7. Evaluate the integral

8. Evaluate the integral

9. Find the integral

1. For , find (a) the equation of the secant line through points whose x coordinates are 0 and 2, (b) the equation of the tangent line when x = -2.

2. Find the derivative of .

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