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95年 - 95 國立暨南國際大學_轉學生入學考試試題_電機系二：微積分#124710
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題組內容
5.
(a) Find
. (10 points)
其他申論題
(b) Find (). (10 points)
#530542
(c) Find，hint: sec²x - tan²x = 1. (10 points)
#530543
3. The number is a root of the equation x² - 3 = 0. Please estimateby applying the Newton-Raphson method to the functionf(x) = x² - 3 starting at x₁ = 2. Hint: the Newton-Raphson formula is. (10 points)
#530544
4. Find f to satisfy that f '(x) = 6x - 2, f'(1) = -5, and f '(1) = 3. (10 points)
#530545
(b) Compute dx. (10 points)
#530547
(a) Calculate the angle between a and b. (5 points)
#530548
(b) Find proj，a . (5 points)
#530549
7. Find an equation f(x, y, z) = 0 for the plane that passes through the point P(-2, 3, 5) and is perpendicular to the line l with scalar parametric equations: x = -2 + t, y = 1 + 2t, z = 4. (10 points)
#530550
1. Determine the value of c so that f(x) is continuous on the entire real line if.
#530551
2. Differentiate:.
#530552
. (10 points)
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. (10 points)