※ 引述《corncorn (迴旋夢)》之銘言：
: 1. Find the area of largest rectangle that can be inscribed in a semicircle
: of radius r.
: 2. Evaluate the integral
: 1 1 ________
: a) ∫ ∫ √x^3 + 1 dxdy
: 0 √y
好久沒做了!!也不知想法對不對
令函數Y = X^3+1要>0.....所以X> -1
積分範圍√Y要>0
所以積分是從0積到1
==> 1 1
∫∫√Y dxdy 得2/3
0 0
: 0
: b) ∫ xe^x dx
: -∞
: tanx － x
: 3. Find lim ─────
: x→0 x^3
: 4. Find the equations of the tangent plane and the normal line to the surface
: sin(xyz) ＝ x+2y+3z at the point (2,-1,0)
: 5. Find the radius of convergence and interval of convergence of series
: ∞ (-3)^n · x^n
: Σ ───────
: n＝0 √(n+1)
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