所屬科目:研究所、轉學考(插大)-微積分
(a) (5%)
(b) (5%) does not exist
(a) (5%) Find
(b) (5%) Evaluate
(c) (5%) Evaluatee-rr² sinΦdr dθ dΦ
3. (10%) Find the average value of f(x) = sin²x on the interval [0, 2π]
(a) (10%) Find the Maclaure series for f(x) = ln(1+x) and the interval of convergence.
(a) (5%) Sketch the curve.
(b) (8%) Find the tangents at the pole.
(c) (7%) Find the area enclosed by the curve.
(a) (10%) Find the center of mass.
(b) (10%). Find the moment inertia about the z-axis.
7. (10%) Find the area of the surface give by the hemisphere z = f(x, y) = over the region R: x² + y² ≤ 4