所屬科目:研究所、轉學考(插大)-微積分
(a) Evaluateln(x)dx. Ans:_________.
(b) Find . Ans:________
(c) If f (x) = (0), Ans:______.
(d) Find the absolute maximum value of f (x) = 2 + sin 2x on the interval [0,π]. Ans:______.
(f) If f (x) = 3x + cos(x)+1, find. Ans:________
(g) Find the point on the cone z = that is closest to the point (3,2,0). Ans:_______.
2. (7 pts) Evaluate or show that it does not excist.
3.(10 pts) Find.
4 (10 pts) Suppose the coefficients of the polynomial satisfy. the equation .Show that the equation P (x) = 0 has a solution between 0 and 1.
5. (10 pts) Show that the sum of the a-, y-, and z-intercepts of any tangent plane to the surface is a constant.