107年 - 107 東吳大學_碩士班招生考試_數學系(B組)：基礎數學#101987

科目：研究所、轉學考(插大)-基礎數學 | 年份：107年 | 選擇題數：0 | 申論題數：5

試卷資訊

所屬科目：研究所、轉學考(插大)-基礎數學

選擇題 (0)

申論題 (5)

1. Find the tangent line of the curve

sin(x+ y) +cos(r-y)=y at the point (x, y)=

2. Find the Taylor formula of the function

f(x) = cos(x²) with respect to x = 0 up to the 8-th degree, and prove that I

3. Graph the curves of functions y = x³ + 2x² and y = 3x on the same ry-coordinate. Find the area bounded by the two curves.

4. Consider the matrix

Find a basis for the column space, the row space and the null space of A respectively.

5. Diagonalize the matrix . Compute , k is a natural number.