所屬科目：研究所、轉學考(插大)-微積分
1.=?
2.=?
3. Cardiord x = 2 sin θ - sin 2θ, y = 2 cosθ- cos2θ. Find its total length.
4. When x = 2 sinθ - sin2θ and y = 2 cosθ - cos2θ,determine d2y/dx2. at θ =π/3.
6. When x3 + y3+ z3-3xyz = 1, derive ∂z/∂x and ∂z/∂y.
7. When f(x,y) = 2xy -+1, find local maxima, local minima, and saddle points.
8. Find the volume determined by x2+ y2 + z2 ≤1 and x2 + y2 ≤ y.
10.Ω=｛(x,y)|x≥0,y≥0,x+y≥3｝. Find dxdy.
阿摩線上測驗
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=?
=?
+1, find local maxima, local minima, and saddle points.
dxdy.