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103年 - 103 淡江大學 轉學考 微積分#53177

科目：研究所、轉學考(插大)-微積分 | 年份：103年 | 選擇題數：0 | 申論題數：11

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所屬科目：研究所、轉學考(插大)-微積分

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申論題 (11)

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3. (15%) Determine where the given function, f (x) = 2x3 + 3x2 - 12x - 7, is increasing and decreasing, and where its graph is concave up and concave down. Find the relative extrema and inflection points, and sketch the graph of the function.
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5. (10%) Find the area of the region enclosed by the curve y=x3 and y = x2.
【已刪除】6. (10%) Find dx • (Hint: Integrating by parts twice).
7. (15%) Find the critical points of the given flmctions, f (x, y) = x3 -y3 + 6xy，and classify each as a relative maximum, a relative minimum, or a saddle point.
【已刪除】8. (10%) Evaluate the double integral over the specified region R. Choose the order of integration carefully.